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We study transport through multiply coupled carbon nano-tubes (quantum wires) and compute the conductances through the two wires as a function of the two gate voltages $g_1$ and $g_2$ controlling the chemical potential of the electrons in…

介观与纳米尺度物理 · 物理学 2007-12-03 Sourin Das , Sumathi Rao

The description of electron current through a splitting is a mathematical problem of electron transport in quantum networks. For quantum networks constructed on the interface of narrow-gap semiconductors the relevant scattering problem for…

数学物理 · 物理学 2007-05-23 M. Harmer , A. Mikhailova , B. S. Pavlov

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…

介观与纳米尺度物理 · 物理学 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

Higher-order accurate solution to electromagnetic scattering problems are obtained at reduced computational cost in a {\it p}-variable finite volume time domain method. Spatial operators of lower, including first-order accuracy, are…

计算物理 · 物理学 2017-09-07 A. Chatterjee , S. M. Joshi

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…

介观与纳米尺度物理 · 物理学 2015-06-25 Akira Shimizu

An expression for the transmission matrix based conductance is provided for the propagation of scalar waves in certain bifurcated discrete waveguides using the paradigm of a three-terminal Landauer-Buttiker junction. It is found that the…

介观与纳米尺度物理 · 物理学 2018-08-09 Basant Lal Sharma

The calculations of electronic transport coefficients and optical properties require a very dense interpolation of the electronic band structure in reciprocal space that is computationally expensive and may have issues with band crossing…

In this paper,we present a detailed formulation to solve the scattering wave function for a multi-terminal mesoscopic system with spin-orbit coupling. In addition to terminal currents, all local quantities can be calculated explicitly by…

介观与纳米尺度物理 · 物理学 2007-05-23 Yongjin Jiang , Liangbin Hu

We analyze the charge and thermal transport at a junction of interacting quantum wires close to equilibrium. Within the framework of Tomonaga-Luttinger liquids, we compute the thermal conductance for a wide class of boundary conditions and…

介观与纳米尺度物理 · 物理学 2022-01-24 D. Giuliano , A. Nava , R. Egger , P. Sodano , F. Buccheri

A variety of boundary value problems in linear transport theory are expressed as a diffusion equation of the two-way, or forward-backward, type. In such problems boundary data are specified only on part of the boundary, which introduces…

数学物理 · 物理学 2019-02-18 Caleb G. Wagner , Richard Beals

We present a numerical scheme to solve the Wigner equation, based on a lattice discretization of momentum space. The moments of the Wigner function are recovered exactly, up to the desired order given by the number of discrete momenta…

计算物理 · 物理学 2018-08-31 Sergio Solorzano , Miller Mendoza , Sauro Succi , Hans Herrmann

Based on our recent work on quantum transport [Li et al., Phys. Rev. B 71, 205304 (2005)], where the calculation of transport current by means of quantum master equation was presented, in this paper we show how an efficient calculation can…

材料科学 · 物理学 2009-11-11 JunYan Luo , Xin-Qi Li , YiJing Yan

We develop a new numerical method to calculate the Landauer conductance through an interacting electron system in the first order perturbation or in the self-consistent Hartree-Fock approximation. It is applied to one and two dimensional…

介观与纳米尺度物理 · 物理学 2007-05-23 Yoichi Asada

In this paper we re-examine the problem of electronic transports through a system consisting of a quantum dot which has well-defined discrete energy levels connected to an infinite quantum wire, using the bosonization method and phase shift…

凝聚态物理 · 物理学 2009-10-31 Yu-Liang Liu , T. K. Ng

We present a quaternion-inspired formalism specifically developed to evaluate the electric current that traverses a single molecule subjected to an externally applied voltage. The molecule of interest is covalently connected to two small…

介观与纳米尺度物理 · 物理学 2014-08-06 Augusto C. L. Moreira , Celso P. de Melo

With a brief introduction to one-dimensional channels and conductance quantisation in mesoscopic systems, we discuss some recent experimental puzzles in these systems, which include reduction of quantised conductances and an interesting…

介观与纳米尺度物理 · 物理学 2009-11-07 Siddharth Lal , Sumathi Rao , Diptiman Sen

We generalize a Landauer-type formula, using a real$\otimes$spin-space Green function technique, to treat spin-dependent transport in quantum-coherent conductors attached to two ferromagnetic contacts. The formalism is employed to study the…

介观与纳米尺度物理 · 物理学 2007-05-23 Branislav K. Nikolic , J. K. Freericks

Linear conductance through a quantum dot is calculated under a finite magnetic field using the modified perturbation theory. The method is based on the second-order perturbation theory with respect to the Coulomb repulsion, but the…

介观与纳米尺度物理 · 物理学 2009-10-31 Osamu Takagi , Tetsuro Saso

We numerically analyze the transmission through a thin disordered wire of finite length attached to perfect leads, by making use of banded random Hamiltonian matrices. We compare the Landauer and the Thouless conductances, and find that…

介观与纳米尺度物理 · 物理学 2009-10-30 Giulio Casati , Italo Guarneri , Giulio Maspero

It was recently shown that a generalization of quantum Turing machines (QTMs), in which potentials are associated with elementary steps or transitions of the computation, generates potential distributions along computation paths of states…

凝聚态物理 · 物理学 2009-10-30 Paul Benioff