Welcome to the homepage of the Quantum Transport and Dissipation group!
We are a theoretical group interested in the dynamical properties (transient and stationary) of open quantum systems out-of-equilibrium.
These include on the one hand quantum transport properties of hybrid nanojunctions, molecular systems in STM configuration or complex quantum dots.
On the other hand, the dissipative dynamics of (effective) quantum particles interacting with a surroundings.
In recent years we have developed a many-body theory of quantum transport based on the reduced density matrix approach, which we have applied to investigate transport in carbon nanotube based nanojunctions and molecules.
Also, we have used non-perturbative field theory approaches to investigate strongly correlated systems in the Kondo regime and interacting one-dimensional systems.
Path integral approaches have recently been used to investigate decoherence and relaxation properties of superconducting qubits interacting with an electromagnetic environment.
Dr. Harry Mönig
International GRK Workshop
19.09. - 21.09.2018
Thon-Dittmer-Palais, Regensburg, Germany
Topology and zero energy edge states in carbon nanotubes with superconducting pairing
W. Izumida, L. Milz, M. Marganska, and M. Grifoni
Phys. Rev. B 96, 125414 – Published 11 September 2017
We investigate the spectrum of finite-length carbon nanotubes in the presence of onsite and nearest-neighbor superconducting pairing terms. A one-dimensional ladder-type lattice model is developed to explore the low-energy spectrum and the nature of the electronic states. We find that zero energy edge states can emerge in zigzag class carbon nanotubes as a combined effect of curvature-induced Dirac point shift and strong superconducting coupling between nearest-neighbor sites. The chiral symmetry of the system is exploited to define a winding number topological invariant. The associated topological phase diagram shows regions with nontrivial winding number in the plane of chemical potential and superconducting nearest-neighbor pair potential (relative to the onsite pair potential). A one-dimensional continuum model reveals the topological origin of the zero energy edge states: a bulk-edge correspondence is proven, which shows that the condition for nontrivial winding number and that for the emergence of edge states are identical. For armchair class nanotubes, the presence of edge states in the superconducting gap depends on the nanotube's boundary shape. For the minimal boundary condition, the emergence of the subgap states can also be deduced from the winding number.
Apparent Reversal of Molecular Orbitals Reveals Entanglement
Ping Yu, Nemanja Kocic, , Benjamin Siegert, Jascha Repp and Andrea Donarini
The frontier orbital sequence of individual dicyanovinyl-substituted oligothiophene molecules is
studied by means of scanning tunneling microscopy. On NaCl/ Cu(111) the molecules are neutral
and the two lowest unoccupied molecular states are observed in the expected order of increasing
energy. On NaCl/Cu(311), where the molecules are negatively charged, the sequence of two observed
molecular orbitals is reversed, such that the one with one more nodal plane appears lower in energy.
This experimental results, in open contradiction with a single-particle interpretation, are explained
by a many-body theory predicting a strongly entangled doubly charged ground state.
Boundary effects and correlations
in one-dimensional systems
June 1-2, 2017
Aim of the workshop is to bring together and stimulate in-depth discussions with leading
experimentalists and theoreticians working on emerging phenomena in finite
one-dimensional correlated conductors. Focus is on the interplay between topological
properties and electron correlations in nanowires, carbon nanotubes, as well as on the edges
of two-dimensional topological insulators (TI) and the surfaces states of three-dimensional TI
constrictions. Despite the big interest in these systems, the investigation of the role of
electron correlations in combination with topological properties is still in its infancy.