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We study the non-linear conductance $\mathcal{G}\sim\partial^2I/\partial V^2|_{V=0}$ in coherent quasi-1D weakly disordered metallic wires. The analysis is based on the calculation of two fundamental correlators (correlations of…

Mesoscale and Nanoscale Physics · Physics 2018-02-22 Christophe Texier , Johannes Mitscherling

We investigate the relation between the invariant correlators of random matrix theory and correlators of the integrable one-dimensional systems. Starting from the relation between correlators for the coupling strengths $\lambda =1/ 2$, $1$,…

Condensed Matter · Physics 2009-10-28 N. Taniguchi , B. S. Shastry , B. L. Altshuler

We compute the quantum correction due to weak localization for transport properties of disordered quasi-one-dimensional conductors, by integrating the Dorokhov-Mello-Pereyra-Kumar equation for the distribution of the transmission…

Condensed Matter · Physics 2007-05-23 C. W. J. Beenakker

The two dimensional Hubbard model in the presence of diagonal and off-diagonal disorder is studied at half filling with a finite temperature quantum Monte Carlo method. Magnetic correlations as well as the electronic compressibility are…

Condensed Matter · Physics 2009-10-28 Martin Ulmke , Richard T. Scalettar

We investigate transport of spinless fermions through a single site dot junction of M one-dimensional quantum wires. The semi-infinite wires are described by a tight-binding model. Each wire consists of two parts: the non-interacting leads…

Strongly Correlated Electrons · Physics 2009-11-11 X. Barnabe-Theriault , A. Sedeki , V. Meden , K. Schoenhammer

The ground-state energy and the density correlation function of the electron liquid in a thin one-dimensional wire are computed. The calculation is based on an approximate mapping of the problem with a realistic Coulomb interaction law onto…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael M. Fogler

We propose the autocorrelator of conductance peak heights as a signature of the underlying chaotic dynamics in quantum dots in the Coulomb blockade regime. This correlation function is directly accessible to experiments and its decay width…

Condensed Matter · Physics 2009-10-28 Henrik Bruus , Caio H. Lewenkopf , Eduardo R. Mucciolo

The magnetic field dependent localization in a disordered quantum wire is considered nonperturbatively. An increase of an averaged localization length with the magnetic field is found, saturating at twice its value without magnetic field.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Stefan Kettemann , Riccardo Mazzarello

We investigate transport properties of different realizations of one-dimensional quantum wires coupled to a number of external electrodes in terms of the full counting statistics. Focusing on the set-ups in which edge states of Majorana…

Mesoscale and Nanoscale Physics · Physics 2016-03-15 A. Komnik

We study the localization properties of a disordered tight-binding Hamiltonian on a generic bipartite lattice close to the band center. By means of a fermionic replica trick method, we derive the effective non-linear $\sigma$-model…

Disordered Systems and Neural Networks · Physics 2009-10-31 Michele Fabrizio , Claudio Castellani

Isolated Majorana fermion states can be produced at the boundary of a topological superconductor in a quasi-one-dimensional geometry. If such a superconductor is connected to a disordered quantum wire, the Majorana fermion is spread into…

Mesoscale and Nanoscale Physics · Physics 2015-09-21 D. A. Ivanov , P. M. Ostrovsky , M. A. Skvortsov

We use a superspin Hamiltonian defined on an infinite-dimensional Fock space with positive definite scalar product to study localization and delocalization of noninteracting spinless quasiparticles in quasi-one-dimensional quantum wires…

Disordered Systems and Neural Networks · Physics 2009-10-02 Andreas P. Schnyder , Christopher Mudry , Ilya A. Gruzberg

Dynamical response theory is used to investigate various transverse confinements on electron correlations in the ground state of a ferromagnetic one-dimensional quantum wire for different wire widths $b$ and density parameters $r_{\rm s}$.…

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

The dynamical response theory is used to obtain an analytical expression for the exchange energy of a quantum wire for arbitrary polarization and width. It reproduces the known form of exchange energy for 1D electron gas in the limit of…

Strongly Correlated Electrons · Physics 2020-02-26 Vinod Ashokan , Renu Bala , Klaus Morawetz , Kare N. Pathak

We study analytically the local density of states in a disordered normal-metal wire at ballistic distance to a superconductor. Our calculation is based on a scattering-matrix approach, which concerns for wave-function localisation in the…

Disordered Systems and Neural Networks · Physics 2009-09-29 M. Titov , H. Schomerus

We study electron transport in quasi-one-dimensional wires at relatively weak electrostatic confinements, where the Coulomb interaction distorts the ground state, leading to the bifurcation of the electronic system into two rows. Evidence…

Mesoscale and Nanoscale Physics · Physics 2009-07-24 L. W. Smith , W. K. Hew , K. J. Thomas , M. Pepper , I. Farrer , D. Anderson , G. A. C. Jones , D. A. Ritchie

Connections between the electron eigenstates and conductivity of one-dimensional disordered electron systems is studied in the framework of the tight-binding model. We show that for weak disorder only part of the states exhibit resonant…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 A. Eisenbach , Y. Bliokh , V. Freilkher , M. Kaveh , R. Berkovits

We show that a one dimensional disordered conductor with correlated disorder has an extended state and a Landauer resistance that is non-zero in the limit of infinite system size in contrast to the predictions of the scaling theory of…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Onuttom Narayan , Harsh Mathur , Richard Montgomery

We investigate the delocalization and conductance quantization in finite one-dimensional chains with only off-diagonal disorder coupled to leads. It is shown that the appearence of delocalized states at the middle of the band under…

Disordered Systems and Neural Networks · Physics 2009-11-07 Z. Y. Zeng , F. Claro