prof. C. Strunk
prof. D. Weiss
Comp. Phys. Comm. published: "Lab::Measurement ? a portable and extensible framework for controlling lab equipment and conducting measurements" (posted 2018-10-18)
"Lab::Measurement ? a portable and extensible framework for controlling lab equipment and conducting measurements", describing our measurement software package Lab::Measurement, has been published in Computer Physics Communications.
Lab::Measurement is a collection of object-oriented Perl 5 modules for controlling lab instruments, performing measurements, and recording and plotting the resultant data. Its operating system independent driver stack makes it possible to use nearly identical measurement scripts both on Linux and Windows. Foreground operation with live plotting and background operation for, e.g., process control are supported. For more details, please read our article, visit the Lab::Measurement homepage, or visit Lab::Measurement on CPAN!
"Lab::Measurement ? a portable and extensible framework for controlling lab equipment and conducting measurements"
S. Reinhardt, C. Butschkow, S. Geissler, A. Dirnaichner, F. Olbrich, C. Lane, D. Schröer, and A. K. Hüttel
Comp. Phys. Comm. 234, 216 (2019); arXiv:1804.03321 (PDF)
PRL accepted: Nanomechanical characterization of the Kondo charge dynamics in a carbon nanotube (posted 2018-05-18)
Nanomechanical characterization of the Kondo charge dynamics in a carbon nanotube" has been accepted for publication by Physical Review Letters.
The Kondo effect is a many-body phenomenon at low temperature that results from a quantum state degeneracy, as, e.g., the one of spin states in absence of a magnetic field. In its simplest case, it makes a quantum dot, in our case a carbon nanotube with some trapped electrons on it, behave very different for an even and an odd number of electrons. At an even number of trapped electrons, no current can flow through the nanotube, since temperature and applied bias voltage are too low to charge it with one more elementary charge; this phenomenon is called Coulomb blockade. Strikingly, at odd electron number, when two degenerate quantum states in the nanotube are available, Coulomb blockade seems not to matter, and a large current can flow. Theory explains this by assuming that a localized electron couples to electrons in the contacts, forming a combined, delocalized singlet quantum state.
What carries the Kondo-enhanced current, and how does the electric charge now accumulate in the carbon nanotube? We use the vibration of the macromolecule to measure this. As also in the case of, e.g., a guitar string, the resonance frequency of a nanotube changes when you pull on it; in the case of the carbon nanotube this is sensitive enough to resolve fractions of the force caused by a single elementary charge. From the vibration frequency, as function of the electrostatic potential, we calculate the average number of electrons on the nanotube, and can then compare the odd and even number cases.
A surprising result of our evaluation is that the charge trapped on the nanotube behaves the same way in the even and odd occupation case, even though the current through it is completely different. Sequential tunneling of electrons can model the charge accumulation, and with it the mechanical behaviour. The large Kondo current is carried by virtual occupation of the nanotube alone, i.e., electrons tunneling on and immediately off again so they do not contribute to the charge on it.
"Nanomechanical Characterization of the Kondo Charge Dynamics in a Carbon Nanotube"
K. J. G. Götz, D. R. Schmid, F. J. Schupp, P. L. Stiller, Ch. Strunk, and A. K. Hüttel
Physical Review Letters 120, 246802 (2018); arXiv:1802.00522 (PDF, HTML, supplementary information)
Today's news is that we have submitted a manuscript for publication, describing Lab::Measurement and with it our approach towards fast, flexible, and platform-independent measuring with Perl! The manuscript mainly focuses on the new, Moose-based class hierarchy. We have uploaded it to arXiv as well; here is the (for now) full bibliographic information of the preprint:
"Lab::Measurement - a portable and extensible framework for controlling lab equipment and conducting measurements"If you're using Lab::Measurement in your lab, and this results in some nice publication, then we'd be very grateful for a citation of our work - for now the preprint, and later hopefully the accepted version.
FOSDEM 2018, the "Free and Open Source Developers' European Meeting", takes place 3-4 February at Universite Libre de Bruxelles, Campus Solbosch, Brussels - and our measurement control software Lab::Measurement will be presented there in the Perl devrooom! As all of FOSDEM, the talk will also be streamed live and archived; more details on this follow later. Here's the abstract:
Perl in the Physics Lab
Let's visit our university lab. We work on low-temperature nanophysics and transport spectroscopy, typically measuring current through experimental chip structures. That involves cooling and temperature control, dc voltage sources, multimeters, high-frequency sources, superconducting magnets, and a lot more fun equipment. A desktop computer controls the experiment and records and evaluates data.
linked PDF for the full talk announcement.
"Millikelvin transport experiments on carbon nanotubes - nanoelectromechanics, spectroscopy, and more"
PRL accepted: Secondary electron interference from trigonal warping in clean carbon nanotubes (posted 2016-09-16)
Secondary electron interference from trigonal warping in clean carbon nanotubes", was accepted for publication in Physical Review Letters.
Imagine a graphene "sheet" of carbon atoms rolled into a tube - and you get a carbon nanotube. Carbon nanotubes come in many variants, which influence strongly their electronic properties. They have different diameter, but also different "chiral angle", describing how the pattern of the carbon atoms twists around the tube axis. In our work, we show how to extract information on the nanotube structure from measurements of its conductance. At low temperature, electrons travel ballistically through a nanotube and are only scattered at its ends. For the quantum-mechanical electron wavefunction, metallic nanotubes act then analogous to an optical Fabry-Perot interferometer, i.e., a cavity with two semitransparent mirrors at either end, where a wave is partially reflected. Interference patterns are obtained by tuning the wavelength of the electrons; the current through the nanotube oscillates as a function of an applied gate voltage. The twisted graphene lattice then causes a distinct slow current modulation, which, as we show, allows a direct estimation of the chiral angle. This is an important step towards solving a highly nontrivial problem, namely identifying the precise
molecular structure of a nanotube from electronic measurements alone.
"Secondary electron interference from trigonal warping in clean carbon nanotubes"
A. Dirnaichner, M. del Valle, K. J. G. Götz, F. J. Schupp, N. Paradiso, M. Grifoni, Ch. Strunk, and A. K. Hüttel
accepted for publication in Physical Review Letters; arXiv:1602.03866 (PDF, supplemental information)
Nanotechnology accepted: Co-sputtered MoRe thin films for carbon nanotube growth-compatible superconducting coplanar resonators (posted 2016-02-04)
Co-sputtered MoRe thin films for carbon nanotube growth-compatible superconducting coplanar resonators" has just been accepted for publication in Nanotechnology.
For quite some time we have been working on techniques to combine ultra-clean carbon nanotubes and their regular electronic spectrum with superconducting material systems. One of our objectives is to perform high-frequency measurements on carbon nanotube nano-electromechanical systems at millikelvin temperatures. With this in mind we have established the fabrication and characterization of compatible superconducting coplanar resonators in our research group. A serious challenge here was that the high-temperature process of carbon nanotube growth destroys most metal films, or if not, at least lowers the critical temperature Tc of superconductors so much that they are not useful anymore.
In the present manuscript, we demonstrate deposition of a molybdenum-rhenium alloy of variable composition by simultaneous sputtering from two sources. We characterize the resulting thin films using x-ray photoelectron spectroscopy, and analyze the saturation of the surface layers with carbon during the nanotube growth process. Low-temperature dc measurements show that specifically an alloy of composition Mo20Re80 remains very stable during this process, with large critical currents and critical temperatures even rising to up to Tc~8K. We use this alloy to fabricate coplanar resonator structures and demonstrate even after a nanotube growth high temperature process resonant behaviour at Gigahertz frequencies with quality factors up to Q~5000. Observation of the temperature dependent behaviour shows that our devices are well described by Mattis-Bardeen theory, in combination with dissipation by two-level systems in the dielectric substrate.
"Co-sputtered MoRe thin films for carbon nanotube growth-compatible superconducting coplanar resonators"
K. J. G. Götz, S. Blien, P. L. Stiller, O. Vavra, T. Mayer, T. Huber, T. N. G. Meier, M. Kronseder, Ch. Strunk, and A. K. Hüttel
accepted for publication in Nanotechnology; arXiv:1510.00278 (PDF)
german research" magazine of the DFG includes an article about the work of our research group! This is a translation of a previous publication in the German language journal "Forschung" of the DFG. Enjoy!
"Carbon Nanotubes: Strong, Conductive and Defect-Free"
Carbon nanotubes are a fascinating material. In experiments at ultra-low temperatures, physicists make their different properties interact with one another - and in so doing find answers to fundamental questions.
Andreas K. Hüttel
german research 3/2015, 24-27 (2015) (PDF)
APL accepted: Liquid-induced damping of mechanical feedback effects in single electron tunneling through a suspended carbon nanotube (posted 2015-09-14)
One of the surprises that suspended, clean carbon nanotubes have in store is that they can start vibrating strongly at millikelvin temperatures without any applied radio-frequency driving signal. This was proposed theoretically several years ago by Usmani et al., as a strong feedback between the transversal vibration of the nanotube and the single electron tunneling through it. The effect was identified in measurements, and for example in a previous publication we have shown that damping induced by a magnetic field can suppress it.
Here, we demonstrate how one and the same device behaves distinctly different depending on the environment medium (or lack of the latter): we compare measurements made at the same temperature in a conventional dilution refrigerator, where the chip is placed into a vacuum chamber, and in a so-called top-loading dilution refrigerator, where the chip is inserted into the 3He/4He liquid of the mixing chamber. The overall electronic properties of the device do not change much, even though the thermal cycling could cause a lot of damage and has done so in the past for other devices. We can here even extract a rough estimate of the liquid helium dielectric constant by comparing the slightly shifted Coulomb oscillation positions of the two measurements.
However, a striking difference appears when looking at finite bias conductance and the mechanical feedback effects. In the viscous helium liquid, the resonator is damped and the vibrations are suppressed, and the unperturbed electronic transport spectrum emerges. Such an inert, liquid environment can thus be used to do transport spectroscopy at high transparency of the tunnel barriers and high applied bias voltages - parameter regions interesting for e.g. non-equilibrium Kondo phenomena, where otherwise mechanically-induced features would make data evaluation highly challenging.
"Liquid-induced damping of mechanical feedback effects in single electron tunneling through a suspended carbon nanotube"
D. R. Schmid, P. L. Stiller, Ch. Strunk, and A. K. Hüttel
Applied Physics Letters 107, 123110 (2015); arXiv:1407.2114 (PDF)
PRB accepted: Transport across a carbon nanotube quantum dot contacted with ferromagnetic leads: experiment and non-perturbative modeling (posted 2015-05-04)
When ferromagnetic materials are used as contacts for a carbon nanotube at low temperature, the current is strongly influenced by the direction of the contact magnetization via the so-called tunneling magnetoresistance (TMR). Since the nanotube contains a quantum dot, in addition its electronic energy levels play an important role; the TMR depends on the gate voltage value and can reach large negative and positive values. Here, in another fruitful joint experimental and theoretical effort, we present both measurements of the gate-dependent TMR across a "shell" of four Coulomb oscillations, and model them in the so-called "dressed second order" framework. The calculations nicely reproduce the characteristic oscillatory patterns of the TMR gate dependence.
"Transport across a carbon nanotube quantum dot contacted with ferromagnetic leads: experiment and non-perturbative modeling"
A. Dirnaichner, M. Grifoni, A. Prüfling, D. Steininger, A. K. Hüttel, and Ch. Strunk
Phys. Rev. B 91, 195402 (2015); arXiv:1502.02005 (PDF)
Broken SU(4) symmetry in a Kondo-correlated carbon nanotube" has been accepted for publication in Physical Review B.
This manuscript is the result of a joint experimental and theoretical effort. We demonstrate that there is a fundamental difference between cotunneling and the Kondo effect - a distinction that has been debated repeatedly in the past. In carbon nanotubes, the two graphene-derived Dirac points can lead to a two-fold valley degeneracy in addition to spin degeneracy; each orbital "shell" of a confined electronic system can be filled with four electrons. In most nanotubes, these degeneracies are broken by the spin-orbit interaction (due to the wall curvature) and by valley mixing (due to, as recently demonstrated, scattering at the nanotube boundaries). Using an externally applied magnetic field, the quantum states involved in equilibrium (i.e., elastic, zero-bias) and nonequilibrium (i.e., inelastic, finite bias) transitions can be identified. We show theoretically and experimentally that in the case of Kondo correlations, not all quantum state pairs contribute to Kondo-enhanced transport; some of these are forbidden by symmetries stemming from the carbon nanotube single particle Hamiltonian. This is distinctly different from the case of inelastic cotunneling (at higher temperatures and/or weaker quantum dot-lead coupling), where all transitions have been observed in the past.
"Broken SU(4) symmetry in a Kondo-correlated carbon nanotube"
D. R. Schmid, S. Smirnov, M. Marganska, A. Dirnaichner, P. L. Stiller, M. Grifoni, A. K. Hüttel, and Ch. Strunk
Phys. Rev. B 91, 155435 (2015) (PDF)
forschung" magazine of the DFG, published just a few days ago, includes an article about the work of our research group (in German)! Enjoy!
"Zugfest, leitend, defektfrei"
Kohlenstoff-Nanoröhren sind ein faszinierendes Material. In Experimenten bei ultratiefen Temperaturen versuchen Physiker, ihre verschiedenen Eigenschaften miteinander in Wechselwirkung zu bringen ? und so Antworten auf grundlegende Fragen zu finden.
Andreas K. Hüttel
forschung 4/2014, 10-13 (2014) (PDF)
NJP accepted: Thermally induced subgap features in the cotunneling spectroscopy of a carbon nanotube (posted 2014-11-10)
Thermally induced subgap features in the cotunneling spectroscopy of a carbon nanotube" has been accepted for publication by New Journal of Physics.
In a way, this work is directly building on our previous publication on thermally induced quasiparticles in niobium-carbon nanotube hybrid systes. As a contribution mainly from our theory colleagues, now the modelling of transport processes is enhanced and extended to cotunneling processes within Coulomb blockade. A generalized master equation based on the reduced density matrix approach in the charge conserved regime is derived, applicable to any strength of the intradot interaction and to finite values of the superconducting gap.
We show both theoretically and experimentally that also in cotunneling spectroscopy distinct thermal "replica lines" due to the finite quasiparticle occupation of the superconductor occur at higher temperature T~1K: the now possible transport processes lead to additional conductance both at zero bias and at finite voltage corresponding to an excitation energy; experiment and theoretical result match very well.
"Thermally induced subgap features in the cotunneling spectroscopy of a carbon nanotube"
S. Ratz, A. Donarini, D. Steininger, T. Geiger, A. Kumar, A. K. Hüttel, Ch. Strunk, and M. Grifoni
New J. Phys. 16, 123040 (2014), arXiv:1408.5000 (PDF)
Today we've received the good news that our Emmy Noether project on the electronic and nano-electromechanical properties of carbon nanotubes has been given a positive intermediate evaluation from the referees. This means funding for an additional period will be granted. Cheers!
PRB Rapid Comm. accepted: Sub-gap spectroscopy of thermally excited quasiparticles in a Nb contacted carbon nanotube quantum dot (posted 2014-05-25)
Sub-gap spectroscopy of thermally excited quasiparticles in a Nb contacted carbon nanotube quantum dot" was just accepted for publication by Physical Review B as a Rapid Communication.
Once again we visit the topic of a carbon nanotube quantum dot with superconducting contacts, and again we use niobium for these contacts. Only, this time the connection between the nanotube and the superconductor is pretty bad, i.e., very low electronic tunnel rates. In the end this means that the superconductor does not influence the localized electronic system very much. However, in the metallic contacts we still have a superconductor, meaning electrons pair up into Cooper pairs, and for free quasiparticles carrying only one electron charge an energy gap evolves (the so-called BCS density of states).
Since we're using niobium, we can see superconducting effects over a fairly large temperature range. If we increase the temperature enough, thermal quasiparticles are excited over this energy gap. This precisely is what we observe in our experiment, as additional discrete lines in the transport spectrum. A detailed theoretical analysis of single electron tunneling, in a close cooperation with the research group Prof. Dr. M. Grifoni, confirms our results very well, especially also the temperature dependence of the features visible in the measurements.
In addition there is an interesting bonus to be had here. The thermally activated processes lead to a distinct double-peak of the conductance at zero bias, and the relative height of the two maxima is controlled by the degeneracy of the quantum dot ground states involved in tunneling. This means that looking at the thermally activated current provides additional information to identify the carbon nanotube level spectrum, even if it is not immediately clear from the usual "Coulomb diamond spectroscopy".
"Sub-gap spectroscopy of thermally excited quasiparticles in a Nb contacted carbon nanotube quantum dot"
M. Gaass, S. Pfaller, T. Geiger, A. Donarini, M. Grifoni, A. K. Hüttel, and Ch. Strunk
Phys. Rev. B 89, 241405(R) (2014), arXiv:1403.4456 (PDF)
PRB accepted: Temperature dependence of Andreev spectra in a superconducting carbon nanotube quantum dot (posted 2014-01-08)
When you place a carbon nanotube at low temperature between contacts made from a superconducting metal, lots of interesting things happen. Strongly simplifying, currents in a superconductor are carried by Cooper pairs of two electrons each, while the localized electronic system in the carbon nanotube is normal-conducting and carries single electrons. One mechanism at a superconductor - normal conductor interface that mediates between these two types of charge transport is so-called Andreev reflection. An electron from the normal conductor enters the superconductor, at the same time a "missing electron", i.e. a "hole where an electron should be", is sent back into the normal conductor. The total charge passing through the interface is 2e, just right to form a Cooper pair. The superconductor-nanotube-superconductor system consistis of two such interfaces back to back; analogous to box potential, multiple reflections on both sides lead to the formation of bound quantum states within the nanotube, the so-called Andeev bound states (ABS).
So far, all other observations of ABS involved aluminum, which has a fairly low critical temperature and critical field. What is new in our work is that we use niobium as superconducting material, with higher critical temperature and larger energy gap. We can increase the temperature to over 1K and still see the superconductivity plus the ABS in the transport spectrum. This way, we can observe how thermal population of an excited Andreev state takes place. Additionally we observe a second pair of Andreev states in the larger superconducting energy gap, and a surprising multi-loop behaviour. All these effects are successfully modelled by calculations based on the superconducting Anderson model, in a collaboration with Alfredo Levy Yeyati and Alvaro Martin-Rodero from Universidad Autonoma de Madrid.
"Temperature dependence of Andreev spectra in a superconducting carbon nanotube quantum dot"
A. Kumar, M. Gaim, D. Steininger, A. Levy Yeyati, A. Martin-Rodero, A. K. Hüttel, and C. Strunk
Physical Review B 89, 075428 (2014), arXiv:1308.1020 (PDF)
SFB 689 "Spin phenomena in reduced dimensions" funding also renewed for another 4 years! (posted 2013-11-21)
SFB 689 "Spin phenomena in reduced dimensions" has now also officially received a renewal of funding for four more years. Time to celebrate - and then do a lot more of fascinating research!
research training group "Electronic Properties of Carbon Based Nanostructures" (GRK 1570) has been extended until 2018! The program focuses on the experimental and theoretical investigation of carbon-based nanostructures, i.e. devices based on graphene, carbon nanotubes, aromatic molecules or hybrids of those. A large number of projects is involved, with topics as various as e.g. the transport spectroscopy and analysis of electronic interactions in ultra-clean carbon nanotubes (our group), atomic force microscopy based research on forces in molecular electronics, or femtosecond plasmonics in graphene. More details on the research activities can be found on the projects web page, including direct links to the participating research groups. Thanks a lot to everyone who helped making this happen!
pss(b) accepted: Negative frequency tuning of a carbon nanotube nano-electromechanical resonator under tension (posted 2013-09-27)
The observed effect can be explained via so-called electrostatic softening of the vibration mode. Let us assume that the carbon nanotube is very close to the gate and vibrates towards and away from it. The capacitance between gate and nanotube varies within one oscillation cycle, and thereby the electrostatic force between these two obtains an additional position-dependent component. This can be seen as an electrodynamic contribution to the spring constant of the resonator; it is negative and thereby decreases the resonance frequency. We can estimate the size of this effect and obtain indeed consistent values for our sample geometry.
"Negative frequency tuning of a carbon nanotube nano-electromechanical resonator under tension"
P. L. Stiller, S. Kugler, D. R. Schmid, C. Strunk, and A. K. Hüttel
accepted for publication by physica status solidi (b), arXiv:1304.5092 (PDF)
The combination of localized states within carbon nanotubes and superconducting contact materials leads to a manifold of fascinating physical phenomena and is a very active area of current research. An additional bonus is that the carbon nanotube can be suspended, i.e. the quantum dot between the contacts forms a nanomechanical system. In this research field a PhD position is immediately available; the working title of the project is "A carbon nanotube as a moving weak link".
You will develop and fabricate chip structures combining various superconductor contact materials with ultra-clean, as-grown carbon nanotubes. Together with your colleagues, you will optimize material, chip geometry, nanotube growth process, and measurement electronics. Measurements will take place in one of our ultra-low temperature setups.
Good knowledge of superconductivity is required. Certainly helpful is knowledge of semiconductor nanostructures and low temperature physics, as well as basic familiarity with Linux. The starting salary is 1/2 TV-L E13.
Interested? Contact Andreas K. Hüttel (e-mail: email@example.com, web: http://www.physik.uni-r.de/forschung/huettel/ ) for more information!
We are currently working on integrating carbon nanotube nanomechanical systems into superconducting radio-frequency electronics. Overall objective is the detection and control of nanomechanical motion towards its quantum limit. In this project, we've got a PhD position with project working title "Gigahertz nanomechanics with carbon nanotubes" available immediately.
You will design and fabricate superconducting on-chip structures suitable as both carbon nanotube contact electrodes and gigahertz circuit elements. In addition, you will build up and use - together with your colleagues - two ultra-low temperature measurement setups to conduct cutting-edge measurements.
Good knowledge of electrodynamics and possibly superconductivity are required. Certainly helpful is low temperature physics, some sort of programming experience, as well as basic familiarity with Linux. The starting salary is 1/2 TV-L E13.
Interested? Contact Andreas K. Hüttel (e-mail: firstname.lastname@example.org, web: http://www.physik.uni-r.de/forschung/huettel/ ) for more information!
Journal of Applied Physics. The background of this work is - once again - spin injection and spin-dependent transport in carbon nanotubes. (To be more precise, the manuscript resulted from our ongoing SFB 689 project.) Control of the contact magnetization is the first step for all the experiments. Some time ago we picked Pd0.3Ni0.7 as contact material since the palladium generates only a low resistance between nanotube and its leads. The behaviour of the contact strips fabricated from this alloy turned out to be rather complex, though, and this manuscript summarizes our results on their magnetic properties.
Three methods are used to obtain data - SQUID magnetization measurements of a large ensemble of lithographically identical strips, anisotropic magnetoresistance measurements of single strips, and magnetic force microscopy of the resulting domain pattern. All measurements are consistent with the rather non-intuitive result that the magnetically easy axis is perpendicular to the geometrically long strip axis. We can explain this by maneto-elastic coupling, i.e., stress imprinted during fabrication of the strips leads to preferential alignment of the magnetic moments orthogonal to the strip direction.
"Transversal Magnetic Anisotropy in Nanoscale PdNi-Strips"
D. Steininger, A. K. Hüttel, M. Ziola, M. Kiessling, M. Sperl, G. Bayreuther, and Ch. Strunk
Journal of Applied Physics 113, 034303 (2013); arXiv:1208.2163 (PDF[*])
[*] Copyright American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
Oxford Instruments Kelvinox HA400 dilution refrigerator is about to arrive in our lab. Yay! The first two boxes are already there... and another seven, I've been told, are on the way from the UK.
The first picture on the right shows the main insert assembly, which is later dipped into a liquid helium-4 bath for precooling. (Remember, we're going to the millikelvin range, so liquid helium-4 at 4.2K is pretty hot.) The lower, copper-coated part of the insert is a vacuum can, the so-called IVC, and inside there, thermally shielded by the vacuum, all the ultra-low temperature cooling goes on. The lower end of this can finally with a slender tail fits into the 3" central bore of a small superconducting magnet. Some experiments which do not need a magnetic field can be conducted directly at the last cooling stage, others are mounted at the center of this tail, i.e. in the center of the magnet.
dilution refrigerator wikipedia page. We'll post some more and nicer pictures once the final assembly is on the way...
There's very good news- our first Regensburg article on carbon nanotube nano-electromechanical systems, "Magnetic damping of a carbon nanotube NEMS resonator", was just accepted for publication by New Journal of Physics.
Let me give you a short introduction what we've been working on here. A very exciting discovery some time ago was that at low temperatures (T<0.1K) mechanical resonators made from single-wall carbon nanotubes show very large quality factors Q. That means, once vibrating they store energy for a long time, and the vibration decays only very slowly - a piano string with a similar Q would sound for over five minutes after hitting the key!
Now this has all sorts of interesting side effects. It's so easy to keep the vibration going that it basically runs on its own once a current passes through the device and some prerequisites are given. The device switches between different stability regions, and the usually very predictable transport spectroscopy pattern of a carbon nanotube quantum dot gains strange shapes and sharp edges.
Amazingly, as soon as you apply a magnetic field, this effect is all gone again, and the transport spectrum becomes regular. The overall current does not change significantly, so our tunnel rates should not be influenced too much by the magnetic field. Which means, according to the theory, that our magnetic field has to tune the second available "knob", the quality factor Q of the mechanical vibration. And indeed if we now drive the system with a radio-frequency signal, we see that the resonance becomes broader in frequency in a high magnetic field - the quality factor decreases.
So what's the damping mechanism? Actually, that is pretty straightforward. In a magnetic field, the vibrating nanotube acts as an ac voltage source, generating a small voltage the same way as a macroscopic ac generator. In addition, high-frequency signals can be transmitted capacitively between, say, parallel cables. Consequently a small ac current flows across a parasitic circuit with a ~100kOhm resistance somewhere, which dissipates energy; the resulting upper limit for Q scales with 1/B2. We can compare this model with our observed Q(B), and see a very nice agreement. Effectively, we've built the world's smallest eddy current brake!
"Magnetic damping of a carbon nanotube NEMS resonator"
D. R. Schmid, P. L. Stiller, Ch. Strunk, and A. K. Hüttel
accepted for publication by New Journal of Physics; arXiv:1203.2319 (PDF)
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