Decoherence-induced conductivity in the one-dimensional Anderson model

Stegmann, Thomas; Wolf, Dietrich E.; Ujsághy, Orsolya

doi:10.1063/1.4893515

Title: Decoherence-induced conductivity in the one-dimensional Anderson model

Full Record
Other Related Research

Abstract

We study the effect of decoherence on the electron transport in the one-dimensional Anderson model by means of a statistical model [1, 2, 3, 4, 5]. In this model decoherence bonds are randomly distributed within the system, at which the electron phase is randomized completely. Afterwards, the transport quantity of interest (e.g. resistance or conductance) is ensemble averaged over the decoherence configurations. Averaging the resistance of the sample, the calculation can be performed analytically. In the thermodynamic limit, we find a decoherence-driven transition from the quantum-coherent localized regime to the Ohmic regime at a critical decoherence density, which is determined by the second-order generalized Lyapunov exponent (GLE) [4].

Authors:

Stegmann, Thomas; Wolf, Dietrich E. ^[1]; Ujsághy, Orsolya ^[2]

Department of Physics, University of Duisburg-Essen and CENIDE, 47048 Duisburg (Germany)
Department of Theoretical Physics, Budapest University of Technology and Economics, Budafoki út 8., H-1521 Budapest (Hungary)

Publication Date:: Wed Aug 20 00:00:00 EDT 2014

OSTI Identifier:: 22308266

Resource Type:: Journal Article

Journal Name:: AIP Conference Proceedings

Additional Journal Information:: Journal Volume: 1610; Journal Issue: 1; Conference: TIDS15: 15. international conference on transport in interacting disordered systems, Sant Feliu de Guixols (Spain), 1-5 Sep 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONFIGURATION; ELECTRONS; LYAPUNOV METHOD; ONE-DIMENSIONAL CALCULATIONS; RANDOMNESS; STATISTICAL MODELS

Citation Formats


                    Stegmann, Thomas, Wolf, Dietrich E., and Ujsághy, Orsolya. Decoherence-induced conductivity in the one-dimensional Anderson model.  United States: N. p., 2014. 
        Web.  doi:10.1063/1.4893515.

Copy to clipboard


                    Stegmann, Thomas, Wolf, Dietrich E., & Ujsághy, Orsolya. Decoherence-induced conductivity in the one-dimensional Anderson model.  United States.  https://doi.org/10.1063/1.4893515

Copy to clipboard


                    Stegmann, Thomas, Wolf, Dietrich E., and Ujsághy, Orsolya. 2014.  
        "Decoherence-induced conductivity in the one-dimensional Anderson model".  United States.  https://doi.org/10.1063/1.4893515.

Copy to clipboard


                    
@article{osti_22308266,

  title        = {Decoherence-induced conductivity in the one-dimensional Anderson model},

  author       = {Stegmann, Thomas and Wolf, Dietrich E. and Ujsághy, Orsolya},

  abstractNote = {We study the effect of decoherence on the electron transport in the one-dimensional Anderson model by means of a statistical model [1, 2, 3, 4, 5]. In this model decoherence bonds are randomly distributed within the system, at which the electron phase is randomized completely. Afterwards, the transport quantity of interest (e.g. resistance or conductance) is ensemble averaged over the decoherence configurations. Averaging the resistance of the sample, the calculation can be performed analytically. In the thermodynamic limit, we find a decoherence-driven transition from the quantum-coherent localized regime to the Ohmic regime at a critical decoherence density, which is determined by the second-order generalized Lyapunov exponent (GLE) [4].},

  doi          = {10.1063/1.4893515},

  url          = {https://www.osti.gov/biblio/22308266},
  journal      = {AIP Conference Proceedings},

  issn         = {0094-243X},

  number       = 1,

  volume       = 1610,

  place        = {United States},

  year         = {Wed Aug 20 00:00:00 EDT 2014},

  month        = {Wed Aug 20 00:00:00 EDT 2014}

}

Copy to clipboard

Journal Article:

https://doi.org/10.1063/1.4893515

Other availability

Find in Google Scholar

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Similar records in OSTI.GOV collections:

Commensurability effects in one-dimensional Anderson localization: Anomalies in eigenfunction statistics

Journal Article

Highlights: > Statistics of normalized eigenfunctions in one-dimensional Anderson localization at E = 0 is studied. > Moments of inverse participation ratio are calculated. > Equation for generating function is derived at E = 0. > An exact solution for generating function at E = 0 is obtained. > Relation of the generating function to the phase distribution function is established. - Abstract: The one-dimensional (1d) Anderson model (AM), i.e. a tight-binding chain with random uncorrelated on-site energies, has statistical anomalies at any rational point f=(2a)/({lambda}{sub E}) , where a is the lattice constant and {lambda}{sub E} is the demore »« less
https://doi.org/10.1016/j.aop.2011.02.009
Perturbation expansion for a one-dimensional Anderson model with off-diagonal disorder

Journal Article Bovier, A - Journal of Statistical Physics; (USA)

The weak disorder expansion for a random Schroedinger equation with off-diagonal disorder in one dimension is studied. The invariant measure, the density of states, and the Lyapunov exponent are computed. The most interesting feature in this model appears at the band center, where the differentiated density of states diverges, while the Lyapunov exponent vanishes. The invariant measure approaches an atomic measure concentrated on zero and infinity. The results extend previous work of Markos to all orders of perturbation theory.
https://doi.org/10.1007/BF01016772
Equipartition of energy in a one-dimensional model of diatomic molecules. II. Maximal Lyapunov exponent and phase-space trajectory separation

Journal Article Monge, A; Cohen, E; Erpenbeck, J - Physical Review, A; (USA)

The Lyapunov instability is studied numerically for a one-dimensional model of diatomic molecules with harmonic intramolecular and hard intermolecular interactions. Previous results are extended to characterize the equipartition regime in terms of the two parameters of the system, the number of molecules {ital n} and the vibrational frequency {omega}. When the system is in equipartition, we find the existence of a thermodynamic limit for the maximal Lyapunov exponent and a power-law behavior {omega}{sup {alpha}}, in analogy with the Fermi-Pasta-Ulam model. The separation of trajectories in phase space, investigated by considering the time dependence of the distance of initially close trajectoriesmore »« less
https://doi.org/10.1103/PhysRevA.43.2031
Exponential number of equilibria and depinning threshold for a directed polymer in a random potential

Journal Article Rosso, Alberto; Texier, Christophe - Annals of Physics

By extending the Kac–Rice approach to manifolds of finite internal dimension, we show that the mean number ⟨N{sub tot}⟩ of all possible equilibria (i.e. force-free configurations, a.k.a. equilibrium points) of an elastic line (directed polymer), confined in a harmonic well and submitted to a quenched random Gaussian potential in dimension d=1+1, grows exponentially ⟨N{sub tot}⟩ ~exp(r L) with its length L. The growth rate r is found to be directly related to the generalized Lyapunov exponent (GLE) which is a moment-generating function characterizing the large-deviation type fluctuations of the solution to the initial value problem associated with the random Schrödingermore »« less
https://doi.org/10.1016/J.AOP.2018.07.029
Dual nature of localization in guiding systems with randomly corrugated boundaries: Anderson-type versus entropic

Journal Article Shostenko, L. - Annals of Physics

A unified theory for the conductance of an infinitely long multimode quantum wire whose finite segment has randomly rough lateral boundaries is developed. It enables one to rigorously take account of all feasible mechanisms of wave scattering, both related to boundary roughness and to contacts between the wire rough section and the perfect leads within the same technical frameworks. The rough part of the conducting wire is shown to act as a mode-specific randomly modulated effective potential barrier whose height is governed essentially by the asperity slope. The mean height of the barrier, which is proportional to the average slopemore »« less
https://doi.org/10.1016/J.AOP.2015.02.032

Similar Records