Memory effects in non-interacting mesoscopic transport

DOI10.1007/s00023-013-0293-1zbMath1310.82042arXiv1211.0477OpenAlexW3099939993MaRDI QIDQ466930

Gheorghe Nenciu, Arne Jensen, Horia D. Cornean

Publication date: 31 October 2014

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.0477

zbMATH Keywords

spectral analysissteady state currentquantum transportquantum dotsfinite quantum systemsadiabatic switchingbias switching procedureleads at thermal equilibriumWigner-Weisskopf-type Hamiltonian

Mathematics Subject Classification ID

Statistical mechanics of solids (82D20) Transport processes in time-dependent statistical mechanics (82C70) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum dots as quasi particles (81V65) Statistical mechanics of nanostructures and nanoparticles (82D80)

Related Items (4)

On the adiabatic theorem when eigenvalues dive into the continuum ⋮ Resolvent expansion for the Schrödinger operator on a graph with infinite rays ⋮ Resolvent expansions for the Schrödinger operator on the discrete half-line ⋮ A geometric approach to the Landauer-Büttiker formula

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Low energy spectral and scattering theory for relativistic Schrödinger operators
• Adiabatic non-equilibrium steady states in the partition free approach
• The effect of time-dependent coupling on non-equilibrium steady states
• On adiabatic pair creation
• Existence of the spontaneous pair creation in the external field approximation of Q.E.D
• Non-equilibrium steady states of finite quantum systems coupled to thermal reservoirs
• Mathematical theory of non-equilibrium quantum statistical mechanics
• On the adiabatic limit for Dirac particles in external fields
• A rigorous proof of the Landauer–Büttiker formula
• A partition-free approach to transient and steady-state charge currents
• On the cotunneling regime of interacting quantum dots
• Transport properties of quasi-free fermions
• Independent electron model for open quantum systems: Landauer-Büttiker formula and strict positivity of the entropy production
• Generalized eigenfunctions for Dirac operators near criticality
• A UNIFIED APPROACH TO RESOLVENT EXPANSIONS AT THRESHOLDS
• Time-energy coherent states and adiabatic scattering

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