Duality in Power-Law Localization in Disordered One-Dimensional Systems

verfasst von

X. Deng, V. E. Kravtsov, G. V. Shlyapnikov, L. Santos

Abstract

The transport of excitations between pinned particles in many physical systems may be mapped to single-particle models with power-law hopping, 1/ra. For randomly spaced particles, these models present an effective peculiar disorder that leads to surprising localization properties. We show that in one-dimensional systems almost all eigenstates (except for a few states close to the ground state) are power-law localized for any value of a>0. Moreover, we show that our model is an example of a new universality class of models with power-law hopping, characterized by a duality between systems with long-range hops (a<1) and short-range hops (a>1), in which the wave function amplitude falls off algebraically with the same power γ from the localization center.

Organisationseinheit(en)

Institut für Theoretische Physik
SFB 1227: Designte Quantenzustände der Materie (DQ-mat)

Externe Organisation(en)

Abdus Salam International Centre for Theoretical Physics
Landau Institute for Theoretical Physics
Université Paris XI
Universität Paris-Saclay
National University of Science and Technology MISIS
Universiteit van Amsterdam (UvA)
Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences

Typ

Artikel

Journal

Physical Review Letters

Band

120

ISSN

0031-9007

Publikationsdatum

16.03.2018

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Allgemeine Physik und Astronomie

Elektronische Version(en)

https://doi.org/10.48550/arXiv.1706.04088 (Zugang: Offen)
https://doi.org/10.1103/PhysRevLett.120.110602 (Zugang: Geschlossen)
https://dare.uva.nl/personal/pure/en/publications/duality-in-powerlaw-localization-in-disordered-onedimensional-systems(ae666e42-87ba-4a21-bc48-969ec6a36e10).html (Zugang: Offen)