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We study the transport properties of disordered two-dimensional electron systems with a perfectly conducting channel. We introduce an asymmetric Chalker-Coddington network model and numerically investigate the point-contact conductance. We…

Mesoscale and Nanoscale Physics · Physics 2009-07-27 Koji Kobayashi , Tomi Ohtsuki , Keith Slevin

We study theoretically electronic transport through a normal metal-- superconductor (NS) interface and show that more than one conductance may be defined, depending on the pair of chemical potentials whose difference one chooses to relate…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. Sols , J. Sánchez-Cañizares

We calculate the conductance through a single quantum dot coupled to metallic leads, modeled by the spin 1/2 Anderson model. We adopt the finite-U extension of the noncrossing approximation method. Our results are in good agreement with…

Strongly Correlated Electrons · Physics 2007-05-23 D. Gerace , E. Pavarini , L. C. Andreani

Conductivity of a disorder-free intrinsic graphene is studied to the first order in the long-range Coulomb interaction and is found to be \sigma=\sigma_0(1+0.01 g), where 'g' is the dimensionless ("fine structure") coupling constant. The…

Mesoscale and Nanoscale Physics · Physics 2009-02-25 E. G. Mishchenko

We provide a short proof of the quantisation of the Hall conductance for gapped interacting quantum lattice systems on the two-dimensional torus. This is not new and should be seen as an adaptation of the proof of [1], simplified by making…

Mathematical Physics · Physics 2018-12-24 Sven Bachmann , Alex Bols , Wojciech De Roeck , Martin Fraas

Quantum entanglement between an impurity spin and electrons nearby is a key property of the single-channel Kondo effects. We show that the entanglement can be detected by measuring electron conductance through a double quantum dot in an…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Gwangsu Yoo , Seung-Sup B. Lee , H. -S. Sim

We study the low-energy electronic properties of a junction made of two crossed metallic carbon nanotubes of general chiralities. We derive a tight binding tunneling matrix element that couples low-energy states on the two tubes, which…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 A. A. Maarouf , E. J. Mele

We investigate transport through a finite interacting wire connected to noninteracting leads. The conductance of the pure wire is not renormalized by the interactions for any spatial variation of the interaction parameters $u,K$, and not…

Condensed Matter · Physics 2007-05-23 I. Safi , H. J. Schulz

We detect an inclusion with infinite conductivity from boundary measurements represented by the Dirichlet-to-Neumann map for the conductivity equation. We use both the enclosure method and the probe method. We use the enclosure method to…

Analysis of PDEs · Mathematics 2019-01-23 Tommi Brander , Joonas Ilmavirta , Manas Kar

Kubo formula is used to get the d.c conductance of a statistical ensemble of two-dimensional clusters of the square lattice in the presence of standard diagonal disorder, a uniform magnetic field and random magnetic fluxes. Working within a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. A. Verges

We study the conductance of chaotic or disordered wires in a situation where equilibrium transport decomposes into biased diffusion and a counter-moving regular current. A possible realization is a semiconductor nanostructure with…

Chaotic Dynamics · Physics 2007-05-23 Manamohan Prusty , Holger Schanz

We consider resonant transmission through a finite-length quantum wire connected to leads via finite transparency junctions. The coherent electron transport is strongly modified by the Coulomb interaction. The low-temperature…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. B. Kopnin , Y. M. Galperin , V. M. Vinokur

We present a systematic study of the ballistic electron conductance through sp and 3d transition metal atoms attached to copper and palladium crystalline electrodes. We employ the 'ab initio' screened Korringa-Kohn-Rostoker Green's function…

Materials Science · Physics 2007-05-23 Alexei Bagrets , Nikos Papanikolaou , Ingrid Mertig

We describe a method to reconstruct the conductivity and its normal derivative at the boundary from the knowledge of the potential and current measured at the boundary. This boundary determination implies the uniqueness of the conductivity…

Analysis of PDEs · Mathematics 2021-03-09 Felipe Ponce-Vanegas

Understanding DC electrical conductivity is crucial for the study of materials. Macroscopic DC conductivity can be calculated from first principles using the Kubo-Greenwood equation. The procedure involves finding the thermodynamic limit of…

Disordered Systems and Neural Networks · Physics 2020-03-23 Pavlo Bulanchuk

Friedel's sum rule provides an explicit expression for a conductance functional, $\mathcal{G}[n]$, valid for the single impurity Anderson model at zero temperature. The functional is special because it does not depend on the interaction…

Mesoscale and Nanoscale Physics · Physics 2011-06-21 P. Tröster , P. Schmitteckert , F. Evers

We review mechanisms of low-temperature electronic transport through a quantum dot weakly coupled to two conducting leads. Transport in this case is dominated by electron-electron interaction. At temperatures moderately lower than the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , L. I. Glazman

We investigate the conductance of normal-conductor/graphene/normal-conductor (NGN) junctions for arbitrary on-site potentials in the normal and graphitic parts of the system. We find that a ballistic NGN junction can display insulating…

Mesoscale and Nanoscale Physics · Physics 2007-10-11 John P Robinson , Henning Schomerus

Within the Landauer transport formalism we demonstrate that conductance zeroes are possible in bipartite systems at half-filling when leads are contacted to different sublattice sites. In particular, we investigate the application of this…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 M. Nita , M. Tolea , D. C. Marinescu

We discuss a class of critical models in d>1+1 dimensions whose electrical conductivity and charge susceptibility are fixed by the central charge in a universal manner. We comment on possible bounds on conductivity, as suggested by…

High Energy Physics - Theory · Physics 2010-05-12 Pavel Kovtun , Adam Ritz