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We have used modern supercomputer facilities to carry out extensive numerical simulations of statistical properties of 1D and 2D arrays of single-electron islands with random background charges, in the limit of small island…

Disordered Systems and Neural Networks · Physics 2009-11-10 Daniel M. Kaplan , Victor A. Sverdlov , Konstantin K. Likharev

We analyze the effects of electron-electron and electron-phonon interactions in the dynamics of a system of two or three electrons that can be trapped to a localized state and detrapped to ab extended band states of a quantum dot using a…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 R. Carmina Monreal

At low temperatures, the transport coefficients in the disordered electron gas acquire quantum corrections as a result of the complex interplay of disorder and interactions. The interaction corrections to the electric conductivity have…

Mesoscale and Nanoscale Physics · Physics 2024-11-05 Zahidul Islam Jitu , Georg Schwiete

We perform self-consistent quantum transport calculations in open quantum dots taking into account the effect of electron interaction. We demonstrative that in the regime of the ultralow temperatures $2\pi k_BT\lesssim\Delta$ ($\Delta $…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Ihnatsenka , I. V. Zozoulenko

We study the effects of long-range Coulomb interaction (LRCI) on the quantum transport in FQH edges with $\nu=1/(2k+1)$. We consider two models, i.e., the quasi-particle tunneling (QPT) model and the electron tunneling (ET) model at the…

Condensed Matter · Physics 2009-10-30 Ken-ichiro Imura , Naoto Nagaosa

The band-inverted electron-hole bilayers, such as InAs/GaSb, are an interesting playground for the interplay of quantum spin Hall effect and correlation effects because of the small density of electrons and holes and the relatively small…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Tania Paul , V. Fernández Becerra , Timo Hyart

We calculate the tunneling density of states (TDOS) in a three wire junction of interacting spin-1/2 electrons, and find an anomalous enhancement of the TDOS in the zero bias limit, even for repulsive interactions for several bosonic fixed…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 Sougata Mardanya , Amit Agarwal

We have observed interaction effects in the differential conductance $G$ of short, disordered metal bridges in a well-controlled non-equilibrium situation, where the distribution function has a double Fermi step. A logarithmic scaling law…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 H. B. Weber , R. Häussler , H. v. Löhneysen , J. Kroha

We investigate the effect of electron-electron interactions on the conductance of quasi one-dimensional systems without potential scattering. For a finite temperature or system length, the short-range interaction is not renormalized to 0,…

Mesoscale and Nanoscale Physics · Physics 2009-09-25 Arisato Kawabata

We use a method of matched asymptotics to determine the energy gap of two counter-propagating, strongly interacting, quantum Hall edge states. The microscopic edge state dispersion and Coulomb interactions are used to precisely constrain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Marcus Kollar , Subir Sachdev

Free fermion systems enjoy a privileged place in physics. With their simple structure they can explain a variety of effects, ranging from insulating and metallic behaviours to superconductivity and the integer quantum Hall effect.…

Quantum Physics · Physics 2018-09-28 Jiannis K. Pachos , Zlatko Papić

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

Recent developments in the scaling theory of the integer quantum Hall effect are discussed. In particular, the influence of electron-electron interactions on the critical behavior are studied. It is further argued that recent experiments on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein , Michael Backhaus

The Fermi edge singularity (FES) is a prominent manifestation of the Coulomb interaction. It can be observed in a controllable way by studying the transport through a quantum dot (QD), which is electrostatically coupled to the leads. In…

Mesoscale and Nanoscale Physics · Physics 2017-09-06 Artem Borin , Eugene Sukhorukov

The present theory has investigated the FQHE without any quasi-particle. The electric field due to the Hall voltage is taken into consideration. We find the ground state where the electron configuration is uniquely determined so as to have…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 Shosuke Sasaki

We study the single-particle density of states of one-dimensional and two-dimensional quantum disordered systems with long-range interactions. We consider a $1/\sqrt{r}$ interaction in one dimension and a Coulomb interaction in two…

Disordered Systems and Neural Networks · Physics 2015-03-20 M. Pino , A. M. Somoza , M. Ortuño

The ground-state behavior of the symmetric electron-electron and electron-hole bilayers is studied by including dynamic correlation effects within the quantum version of Singwi, Tosi, Land, and Sjolander (qSTLS) theory. The static…

Strongly Correlated Electrons · Physics 2009-11-07 R. K. Moudgil , L. K. Saini , Gaetano Senatore

We have studied a clean finite-length line junction between interacting counterpropagating single-branch fractional-quantum-Hall edge channels. Exact solutions for low-lying excitations and transport properties are obtained when the two…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 U. Zuelicke , E. Shimshoni

We study the tunneling density of states (DOS) in an interacting disordered three-dimensional metal and calculate its energy dependence in the quasiballistic regime, for the deviation from the Fermi energy, $E-E_F$, exceeding the elastic…

Mesoscale and Nanoscale Physics · Physics 2020-02-18 Daniil S. Antonenko , Mikhail A. Skvortsov

We present a theory of the DC electron transport in insulators near Anderson-Mott transitions under the influence of coexisting electron correlation and randomness. At sufficiently low temperatures, the DC electron transport in…

Strongly Correlated Electrons · Physics 2010-10-26 Hiroshi Shinaoka , Masatoshi Imada