Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

physica status solidi (b)

Roles of interactions in electronic properties of quantum disordered wires

H. Mori, Y. Takeuchi

Published Jun 22, 2004• 0 citations
Publisher

Abstract

Abstract We studied electronic transport properties of quantum wires with electron–electron interactions and random potentials. We focus in particular on the roles of the interactions in various situations. In a single wire system the interactions would enhance the random potential effect in some cases while they would suppress it in other cases. Taking analytical and numerical approaches, we clarified the roles in Hubbard wire based on the analysis of 4kF impurity scattering. We also studied the influence of inter‐wire interactions between parallel wires in the presence of random potentials and found a rather different role of the interactions on the localization phenomena. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

DOI
10.1002/pssb.200404789

Related papers

Wigner approach to quantum dynamics simulations of the interacting carriers in disordered systems

Vladimir S. Filinov, P. Thomas, M. Bönitz +3 more

Abstract The new method for solving Wigner–Liouville's type equations and studying dynamics of quantum particles has been developed within the Wigner formulation of quantum statistical mechanics. This approach combines both molecular dynamics and Monte Carlo methods and computes traces and spectra of the relevant dynamical quantities. Considering, as an application, the quantum dynamics of an ensemble of interacting electrons in an array of random scatterers clearly demonstrates that the many‐particle interaction between the electrons can lead to an enhancement of the electrical conductivity. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

physica status solidi (b)•Dec 10, 2003•4 citations

Electronic transport in disordered interacting systems

Thomas Vojta, Frank Epperlein

Abstract We numerically investigate the transport properties of disordered interacting electrons in three dimensions in the metallic as well as in the insulating phases. The disordered many‐particle problem is modeled by the quantum Coulomb glass which contains a random potential, long‐range unscreened Coulomb interactions and quantum hopping between different sites. We have recently developed the Hartree‐Fock based diagonalization (HFD) method which amounts to diagonalizing the Hamiltonian in a suitably chosen energetically truncated basis. This method allows us to investigate comparatively large systems. Here we calculate the combined effect of disorder and interactions on the dissipative conductance. We find that the qualitative influence of the interactions on the conductance depends on the relative disorder strength. For strong disorder interactions can significantly enhance the transport while they suppress the conductance for weak disorder.

Annalen der Physik•Nov 1, 1998•1 citation

Electron transport in a disordered Luttinger liquid

I. V. Gornyi, A. D. Mirlin, Dmitry G. Polyakov

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger-liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated one-dimensional electron system. Two alternative approaches to the problem are developed, both combining fermionic and bosonic treatment of the underlying physics. We calculate the relevant dephasing rate, which for spinless electrons is governed by the interplay of electron-electron interaction and disorder, thus vanishing in the clean limit. Our approach provides a framework for a systematic study of mesoscopic effects in strongly correlated electron systems.

arXiv:cond-mat/0608590•Physical Review B•Feb 13, 2007•62 citations

Bosonization of dimerized Hubbard chains

Carmen Luminiţa Mocanu, Michael Dzierzawa, P. Schwab +1 more

Abstract The role of Klein factors is investigated for the bosonized Hamiltonian of the dimerized Hubbard model. Contrary to previous approaches we take into account their number changing property, i.e. we do not replace them by Majorana fermions. We show how to treat Klein factors in the framework of the self‐consistent harmonic approximation, both for finite systems and in the thermodynamic limit. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

arXiv:cond-mat/0411315•physica status solidi (b)•Jan 17, 2005•2 citations

Electron‐electron relaxation in disordered interacting systems

P. Bozsoki, Imre Varga, Henning Schomerus

Abstract We study the relaxation of a non‐equilibrium carrier distribution under the influence of the electron‐electron interaction in the presence of disorder. Based on the Anderson model, our Hamiltonian is composed from a single particle part including the disorder and a two‐particle part accounting for the Coulomb interaction. We apply the equation‐of‐motion approach for the density matrix, which provides a fully microscopic description of the relaxation. Our results show that the nonequilibrium distribution in this closed and internally interacting system relaxes exponentially fast during the initial dynamics. This fast relaxation can be described by a phenomenological damping rate. The total single particle energy decreases in the redistribution process, keeping the total energy of the system fixed. It turns out that the relaxation rate decreases with increasing disorder. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

arXiv:0708.3328•Physica status solidi. C, Conferences and critical reviews/Physica status solidi. C, Current topics in solid state physics•Jan 29, 2008•0 citations

Resistivity of Inhomogeneous Quantum Wires

Jérôme Rech, К. А. Матвеев

We study the effect of electron-electron interactions on the transport in an inhomogeneous quantum wire. We show that contrary to the well-known Luttinger liquid result, nonuniform interactions contribute substantially to the resistance of the wire. In the regime of weakly interacting electrons and moderately low temperatures we find a linear in T resistivity induced by the interactions. We then use the bosonization technique to generalize this result to the case of arbitrarily strong interactions.

arXiv:0710.4585•Physical Review Letters•Feb 15, 2008•32 citations
Abstract We studied electronic transport properties of quantum wires with electron–electron interactions and random potentials. We focus in particular on the roles of the interactions in various situations. In a single wire system the interactions would enhance the random potential effect in some cases while they would suppress it in other cases. Taking analytical and numerical approaches, we clarified the roles in Hubbard wire based on the analysis of 4kF impurity scattering. We also studied the influence of inter‐wire interactions between parallel wires in the presence of random potentials and found a rather different role of the interactions on the localization phenomena. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Abstract The new method for solving Wigner–Liouville's type equations and studying dynamics of quantum particles has been developed within the Wigner formulation of quantum statistical mechanics. This approach combines both molecular dynamics and Monte Carlo methods and computes traces and spectra of the relevant dynamical quantities. Considering, as an application, the quantum dynamics of an ensemble of interacting electrons in an array of random scatterers clearly demonstrates that the many‐particle interaction between the electrons can lead to an enhancement of the electrical conductivity. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Abstract We numerically investigate the transport properties of disordered interacting electrons in three dimensions in the metallic as well as in the insulating phases. The disordered many‐particle problem is modeled by the quantum Coulomb glass which contains a random potential, long‐range unscreened Coulomb interactions and quantum hopping between different sites. We have recently developed the Hartree‐Fock based diagonalization (HFD) method which amounts to diagonalizing the Hamiltonian in a suitably chosen energetically truncated basis. This method allows us to investigate comparatively large systems. Here we calculate the combined effect of disorder and interactions on the dissipative conductance. We find that the qualitative influence of the interactions on the conductance depends on the relative disorder strength. For strong disorder interactions can significantly enhance the transport while they suppress the conductance for weak disorder.
We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger-liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated one-dimensional electron system. Two alternative approaches to the problem are developed, both combining fermionic and bosonic treatment of the underlying physics. We calculate the relevant dephasing rate, which for spinless electrons is governed by the interplay of electron-electron interaction and disorder, thus vanishing in the clean limit. Our approach provides a framework for a systematic study of mesoscopic effects in strongly correlated electron systems.
Abstract We study the relaxation of a non‐equilibrium carrier distribution under the influence of the electron‐electron interaction in the presence of disorder. Based on the Anderson model, our Hamiltonian is composed from a single particle part including the disorder and a two‐particle part accounting for the Coulomb interaction. We apply the equation‐of‐motion approach for the density matrix, which provides a fully microscopic description of the relaxation. Our results show that the nonequilibrium distribution in this closed and internally interacting system relaxes exponentially fast during the initial dynamics. This fast relaxation can be described by a phenomenological damping rate. The total single particle energy decreases in the redistribution process, keeping the total energy of the system fixed. It turns out that the relaxation rate decreases with increasing disorder. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
We study the effect of electron-electron interactions on the transport in an inhomogeneous quantum wire. We show that contrary to the well-known Luttinger liquid result, nonuniform interactions contribute substantially to the resistance of the wire. In the regime of weakly interacting electrons and moderately low temperatures we find a linear in T resistivity induced by the interactions. We then use the bosonization technique to generalize this result to the case of arbitrarily strong interactions.