Berlin 2015 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 86: Transport: Quantum dots, quantum wires, point contacts 2 (TT with HL)
HL 86.10: Talk
Thursday, March 19, 2015, 17:45–18:00, A 053
From thermal equilibrium to nonequilibrium quench dynamics: A conserving approximation for the interacting resonant-level — •Yuval Vinkler-Aviv1,3, Avraham Schiller3, and Frithjof B. Anders2 — 1Dahlem Center for Complex Quantum Systems and Fachberiech Physik, Freie Universität Berlin, 14195 Berlin, Germany — 2Technische Universität Dortmund, Lehrstuhl für Theoretische Physik II, 44221 Dortmund, Germany — 3Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel
We develop a low-order conserving approximation for the interacting resonant-level model (IRLM), and apply it to (i) thermal equilibrium, (ii) nonequilibrium steady state, and (iii) nonequilibrium quench dynamics. The thermal equilibrium is used to carefully gauge the quality of the approximation by comparing the results with established methods such as renormalisation group approaches and establishes a good agreement for small interaction strengths. A closed expression for the nonequilibrium steady-state current is derived and analytically and numerically evaluated. We find a negative differential conductance at large voltages, and the exponent of the power-law suppression of the steady-state current is calculated analytically at zero-temperature. The response of the system to quenches is investigated for a single-lead as well as for two-lead setup at finite voltage bias, and results are presented for the time-dependent current for different bias and contact interaction strength.
[1] Phys. Rev. B 90, 155110 (2014).