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Related papers: Landauer-B\"uttiker and Thouless conductance

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We discuss an extension of our earlier work on the time-dependent Landauer--B\"uttiker formalism for noninteracting electronic transport. The formalism can without complication be extended to superconducting central regions since the…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 Riku Tuovinen , Robert van Leeuwen , Enrico Perfetto , Gianluca Stefanucci

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

The Thouless theory of quantum pumps establishes the conditions for quantized particle transport per cycle, and determines its value. When describing the pump from a moving reference frame, transported and existing charges transform, though…

Mathematical Physics · Physics 2025-04-15 Tilman Esslinger , Gian Michele Graf , Filippo Santi

We analyze Landauer's principle for repeated interaction systems consisting of a reference quantum system $\mathcal{S}$ in contact with an environment $\mathcal{E}$ which is a chain of independent quantum probes. The system $\mathcal{S}$…

Mathematical Physics · Physics 2019-01-29 Eric P. Hanson , Alain Joye , Yan Pautrat , Renaud Raquépas

We study the quantum transport of bosons through a quantum dot coupled to two macroscopic heat baths $L$ and $R$, held at fixed temperatures $T_{L}$ and $T_{R}$ respectively. We manage to cast the particle as well as the heat current into…

Mesoscale and Nanoscale Physics · Physics 2018-04-26 Hrushikesh Shashikant Sable , Devendra Singh Bhakuni , Auditya Sharma

We develop a new approach to electron transport in mesoscopic systems by using a particular single-particle basis. Although this basis generates redundant many-particle amplitudes, it greatly simplifies the treatment. By using our method…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Shmuel Gurvitz

We formulate the problem of near-field radiative heat transfer as an effective quantum scattering theory for excitations of the matter. Built from the same ingredients as the semiclassical fluctuational electrodynamics, the standard tool to…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 Matthias Hübler , Denis M. Basko , Wolfgang Belzig

We present model calculations for the Landauer conductance of tunnel junctions. The tunneling of free electrons through a rectangular potential barrier is considered. The conductance of a finite number of barriers was calculated using a…

Materials Science · Physics 2009-11-10 Peter Zahn , Ingrid Mertig

We study the electron transport in open quantum-dot systems described by the interacting resonant-level models with Coulomb interactions. We consider the situation in which the quantum dot is connected to the left and right leads…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Akinori Nishino , Naomichi Hatano , Gonzalo Ordonez

The Landauer approach to diffusive transport is mathematically related to the solution of the Boltzmann transport equation, and expressions for the thermoelectric parameters in both formalisms are presented. Quantum mechanical and…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Changwook Jeong , Raseong Kim , Mathieu Luisier , Supriyo Datta , Mark Lundstrom

We extract local current distributions from interatomic currents calculated using a fully relativistic quantum mechanical scattering formalism by interpolation onto a three-dimensional grid. The method is illustrated with calculations for…

Mesoscale and Nanoscale Physics · Physics 2021-05-06 Rohit S. Nair , Paul J. Kelly

A square lattice of mesoscopic resistors is considered. Each bond is modeled as a narrow waveguide, while junctions are sources of elastic scattering given by a scattering matrix \mathbf{S}. Symmetry and unitarity constraints are used in a…

Mesoscale and Nanoscale Physics · Physics 2025-05-19 Oliwier Urbański

We solve analytically the Kadanoff-Baym equations for a noninteracting junction connected to an arbitrary number of noninteracting wide-band terminals. The initial equilibrium state is properly described by the addition of an imaginary…

Mesoscale and Nanoscale Physics · Physics 2013-03-28 Riku Tuovinen , Robert van Leeuwen , Enrico Perfetto , Gianluca Stefanucci

The conductance of one-dimensional interacting electron systems is calculated in a manner similar to Landauer's argument for non-interacting systems. Unlike in previous studies in which the Kubo formula was used, the conductance is directly…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Akira Shimizu

In this communication we apply the Landauer method and transfer matrix formalism to the calculation of spin current in magnetic multilayered structures within a ballistic quantum-mechanical regime. The method provides an elegant and…

Mesoscale and Nanoscale Physics · Physics 2019-06-17 Valentin Fadeev , Andrey Umerski

We study heat conduction in quantum disordered harmonic chains connected to general heat reservoirs which are modeled as infinite collection of oscillators. Formal exact expressions for the thermal current are obtained and it is shown that,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Abhishek Dhar

We provide sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree-Fock non-linearity converges to a self-consistent non-equilibrium steady state, which is independent of the initial…

Mathematical Physics · Physics 2024-09-23 Horia D. Cornean , Giovanna Marcelli

The traditional transmission coefficient present in the original Landauer formulation, which is valid for quasi-static scenarios with working frequencies below the inverse of the electron transit time, is substituted by a novel…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Matteo Villani , Simone Clochiatti , Werner Prost , Nils Weimann , Xavier Oriols

Landauer's formula is the standard theoretical tool to examine ballistic transport in nano- and meso-scale junctions, but it necessitates that any variation of the junction with time must be slow compared to characteristic times of the…

Mesoscale and Nanoscale Physics · Physics 2016-04-25 Daniel Gruss , Kirill A. Velizhanin , Michael Zwolak

We study the radiative heat transfer between two semi-infinite half-spaces, bounded by conductive surfaces in contact with vacuum. This setup is interpreted as a four-terminal mesoscopic transport problem. The slabs and interfaces are…

Mesoscale and Nanoscale Physics · Physics 2017-01-24 Han Hoe Yap , Jian-Sheng Wang