skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Spinful Aubry-André model in a magnetic field: Delocalization facilitated by a weak spin-orbit coupling

Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:  
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 97 Journal Issue: 21; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Malla, Rajesh K., and Raikh, M. E. Spinful Aubry-André model in a magnetic field: Delocalization facilitated by a weak spin-orbit coupling. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.214209.
Malla, Rajesh K., & Raikh, M. E. Spinful Aubry-André model in a magnetic field: Delocalization facilitated by a weak spin-orbit coupling. United States. doi:
Malla, Rajesh K., and Raikh, M. E. Fri . "Spinful Aubry-André model in a magnetic field: Delocalization facilitated by a weak spin-orbit coupling". United States. doi:
title = {Spinful Aubry-André model in a magnetic field: Delocalization facilitated by a weak spin-orbit coupling},
author = {Malla, Rajesh K. and Raikh, M. E.},
abstractNote = {},
doi = {10.1103/PhysRevB.97.214209},
journal = {Physical Review B},
number = 21,
volume = 97,
place = {United States},
year = {2018},
month = {6}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share:

Works referenced in this record:

Delocalization of Weakly Interacting Bosons in a 1D Quasiperiodic Potential
journal, July 2014

Macroscopic random Paschen-Back effect in ultracold atomic gases
journal, June 2017

Observation of Topological Phase Transitions in Photonic Quasicrystals
journal, February 2013

Bandwidths for a quasiperiodic tight-binding model
journal, October 1983

Existence of mobility edges of the Aubry model in one-dimensional incommensurate systems
journal, November 1992

A relation between the density of states and range of localization for one dimensional random systems
journal, January 1972

Topological States and Adiabatic Pumping in Quasicrystals
journal, September 2012

Cold atoms in cavity-generated dynamical optical potentials
journal, April 2013

  • Ritsch, Helmut; Domokos, Peter; Brennecke, Ferdinand
  • Reviews of Modern Physics, Vol. 85, Issue 2
  • DOI: 10.1103/RevModPhys.85.553

Localization by bichromatic potentials versus Anderson localization
journal, January 2010

Disruption of quantum oscillations by an incommensurate charge density wave
journal, February 2015

Magnetic Breakdown and Klein Tunneling in a Type-II Weyl Semimetal
journal, June 2016

Localization of Interacting Fermions in the Aubry-André Model
journal, October 2015

Bosons with incommensurate potential and spin-orbit coupling
journal, August 2017

Electronic structure in incommensurate potentials obtained using a numerically accurate renormalization scheme
journal, March 1992

  • Farchioni, Riccardo; Grosso, Giuseppe; Pastori Parravicini, Giuseppe
  • Physical Review B, Vol. 45, Issue 12
  • DOI: 10.1103/PhysRevB.45.6383

Almost mobility edges and the existence of critical regions in one-dimensional quasiperiodic lattices
journal, November 2017

Spin–Orbit Interaction in the Tight-Binding Model —Toward the Comprehension of the Rashba Effect at Surfaces—
journal, June 2014

  • Mii, Takashi; Shima, Nobuyuki; Kano, Koichi
  • Journal of the Physical Society of Japan, Vol. 83, Issue 6
  • DOI: 10.7566/JPSJ.83.064706

Localization transition in the presence of cavity backaction
journal, July 2016

Influence of localization transition on dynamical properties for an extended Aubry–André–Harper model
journal, November 2017

  • Zhao, X. L.; Shi, Z. C.; Yu, C. S.
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 50, Issue 23
  • DOI: 10.1088/1361-6455/aa92df

Unified model for two localization problems: Electron states in spin-degenerate Landau levels and in a random magnetic field
journal, March 1994

Dynamical signature of localization-delocalization transition in a one-dimensional incommensurate lattice
journal, May 2017

Cavity-induced switching between localized and extended states in a noninteracting Bose-Einstein condensate
journal, October 2011

Localization-delocalization transition in spin-orbit-coupled Bose-Einstein condensate
journal, August 2016

  • Li, Chunyan; Ye, Fangwei; Kartashov, Yaroslav V.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep31700

Drive-induced delocalization in the Aubry-André model
journal, January 2018

Localization Problem in One Dimension: Mapping and Escape
journal, June 1983

Spin–orbit coupling in quantum gases
journal, February 2013

Quantized Hall Conductance in a Two-Dimensional Periodic Potential
journal, August 1982

Time-dependent reflection at the localization transition
journal, March 2018

Observation of many-body localization of interacting fermions in a quasirandom optical lattice
journal, July 2015

Anderson localization of a non-interacting Bose–Einstein condensate
journal, June 2008

  • Roati, Giacomo; D’Errico, Chiara; Fallani, Leonardo
  • Nature, Vol. 453, Issue 7197
  • DOI: 10.1038/nature07071

Quantum Particle in One-Dimensional Potentials with Incommensurate Periods
journal, December 1979

Metal-Insulator Transition and Scaling for Incommensurate Systems
journal, September 1983

Quench dynamics in the Aubry–André–Harper model with p -wave superconductivity
journal, May 2018

Spin-Orbit Interaction and Magnetoresistance in the Two Dimensional Random System
journal, February 1980

  • Hikami, S.; Larkin, A. I.; Nagaoka, Y.
  • Progress of Theoretical Physics, Vol. 63, Issue 2
  • DOI: 10.1143/PTP.63.707

Anomalous diffusion in a dynamical optical lattice
journal, February 2018

Localization in One-Dimensional Lattices in the Presence of Incommensurate Potentials
journal, April 1982

Quantum Hall Effect in Spin-Degenerate Landau Levels: Spin-Orbit Enhancement of the Conductivity
journal, August 1995

Topological Zero-Energy Modes in Gapless Commensurate Aubry-André-Harper Models
journal, May 2013

Periodically driving a many-body localized quantum system
journal, January 2017

  • Bordia, Pranjal; Lüschen, Henrik; Schneider, Ulrich
  • Nature Physics, Vol. 13, Issue 5
  • DOI: 10.1038/nphys4020

Cavity cooling of a single atom
journal, March 2004

Synthetic magnetic fields for ultracold neutral atoms
journal, December 2009

  • Lin, Y. -J.; Compton, R. L.; Jiménez-García, K.
  • Nature, Vol. 462, Issue 7273
  • DOI: 10.1038/nature08609

Noise, delocalization, and quantum diffusion in one-dimensional tight-binding models
journal, February 2017

Effect of spin degeneracy on scaling in the quantum Hall regime
journal, August 1995

Observation of a Localization Transition in Quasiperiodic Photonic Lattices
journal, June 2009

Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
journal, September 1976

Electronic states in a one-dimensional system with incommensurate lattice potentials
journal, December 1982

Geometric Phase and Orbital Moment in Quantization Rules for Magnetic Breakdown
journal, December 2017

Electron localization in crystals with quasiperiodic lattice potentials
journal, December 1980

Decohering localized waves
journal, July 2013