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We consider electron transport in a model of a spinless superconductor described by a Kitaev type lattice Hamiltonian where the electron interactions are modelled through a superconducting pairing term. The superconductor is sandwiched…

Superconductivity · Physics 2021-01-04 Junaid Majeed Bhat , Abhishek Dhar

We model one-dimensional transport through each open channel of a quantum wire by a Luttinger liquid with three different interaction parameters for the leads, the contact regions and the wire, and with two barriers at the contacts. We show…

Strongly Correlated Electrons · Physics 2009-10-31 Siddhartha Lal , Sumathi Rao , Diptiman Sen

Electronic transport properties of the disordered quantum wires are considered. The disorder is introduced via impurities (point scatterers), distributed uniformly over the two-dimensional strip, which represents a model quantum wire.…

Mesoscale and Nanoscale Physics · Physics 2014-12-31 Robert Gębarowski

We study contact effects on electron transport across a molecular wire sandwiched between two semi-infinite (carbon) nanotube leads as a model for nanoelectrodes. Employing the Landauer scattering matrix approach we find that the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Fagas , G. Cuniberti , K. Richter

After the seminal work of R. Landauer in 1957 relating the electrical resistance of a conductor to its scattering properties, much progress has been made in our ability to predict the performance of electron devices in the DC (stationary)…

Mesoscale and Nanoscale Physics · Physics 2016-09-22 Guillermo Albareda , Damiano Marian , Abdelilah Benali , Alfonso Alarcón , Simeon Moises , Xavier Oriols

We investigate the transport properties of a quantum wire of weakly interacting fermions in the presence of local particle loss. We calculate current and conductance in this system due to applied external chemical potential bias that can be…

Statistical Mechanics · Physics 2024-11-18 Marcel Gievers , Thomas Müller , Heinrich Fröml , Sebastian Diehl , Alessio Chiocchetta

Based on spin-density functional theory we calculate the electronic structure of a tunnel junction consisting of two magnetic Fe layers separated by an insulating vacuum barrier selfconsistently. For the conductance the Landauer formula is…

Materials Science · Physics 2007-05-23 Peter Zahn , Ingrid Mertig

We present an ab initio approach to electronic transport in nanoscale systems which includes electronic correlations through the GW approximation. With respect to Landauer approaches based on density-functional theory (DFT), we introduce a…

Mesoscale and Nanoscale Physics · Physics 2010-09-08 Pierre Darancet , Andrea Ferretti , Didier Mayou , Valerio Olevano

We present analytic and numerical studies based on Landauer theory of conductance antiresonances of molecular wires. Our analytic treatment is a solution of the Lippmann-Schwinger equation for the wire that includes the effects of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon G. Emberly , George Kirczenow

In the ballistic limit, the Landauer conductance steps of a mesoscopic quantum wire have been explained by coherent and dissipationless transmission of individual electrons across a one-dimensional barrier. This leaves untouched the central…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mukunda P. Das , Frederick Green

We present a finite difference numerical algorithm for solving two dimensional spatially homogeneous Boltzmann transport equation which describes electron transport in a semiconductor superlattice subject to crossed time dependent electric…

Computational Physics · Physics 2015-06-18 Dmitri Priimak

We discuss how a Lagrange multiplier method of non-equilibrium steady state statistical mechanics can be applied to describe the electronic transport in a quantum wire. We describe a theoretical scheme using tight-binding model. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. S. Kosov

This work establishes a framework for solving inverse boundary problems with the geodesic based quadratic Wasserstein distance ($W_{2}$). A general form of the Fr\'echet gradient is systematically derived by optimal transportation (OT)…

Numerical Analysis · Mathematics 2022-10-31 Gang Bao , Yixuan Zhang

Electron transport is theoretically investigated in a molecular device made of anthracene molecule attached to the electrodes by thiol end groups in two different configurations (para and meta, respectively). Molecular system is described…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kamil Walczak

The Landauer formula provides a general scattering formulation of electrical conduction. Despite its utility, it has been mainly applied to the linear-response regime, and a scattering theory of nonlinear response has yet to be fully…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 Kohei Kawabata , Masahito Ueda

We develop a path integral representation for the dynamics of quantum systems with a finite-dimensional Hilbert space, formulated entirely within a discrete phase space. Starting from the discrete Wigner function defined on $\mathbb{Z}_d…

Quantum Physics · Physics 2026-04-23 Leonardo A. Pachon , Andres F. Gomez

Landauer-B\"uttiker formula describes the electronic quantum transports in nanostructures and molecules. It will be numerically demanding for simulations of complex or large size systems due to, for example, matrix inversion calculations.…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Yan Yu , Yan-Yang Zhang , Lei Liu , Si-Si Wang , Ji-Huan Guan , Yang Xia , Shu-Shen Li

We develop a detailed theory for spin transport in a one-dimensional quantum wire described by Luttinger liquid theory. A hydrodynamic description for the quantum wire is supplemented by boundary conditions taking into account the exchange…

Strongly Correlated Electrons · Physics 2009-10-31 Leon Balents , Reinhold Egger

We have developed a method to simulate multiple electron scattering in a vacuum barrier using real-space single-electron wavefunctions of the separate surfaces. The tunnelling current is calculated to first order in the Dyson series. In…

Materials Science · Physics 2007-05-23 Werner A Hofer

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
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