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Quantum Hall effect in a one-dimensional dynamical system

J. P. Dahlhaus, J. M. Edge, J. Tworzydło, and C. W. J. Beenakker
Phys. Rev. B 84, 115133 – Published 22 September 2011

Abstract

We construct a periodically time-dependent Hamiltonian with a phase transition in the quantum Hall universality class. One spatial dimension can be eliminated by introducing a second incommensurate driving frequency, so that we can study the quantum Hall effect in a one-dimensional (1D) system. This reduction to 1D is very efficient computationally and would make it possible to perform experiments on the 2D quantum Hall effect using cold atoms in a 1D optical lattice.

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  • Received 12 July 2011

DOI:https://doi.org/10.1103/PhysRevB.84.115133

©2011 American Physical Society

Authors & Affiliations

J. P. Dahlhaus1, J. M. Edge1, J. Tworzydło2, and C. W. J. Beenakker1

  • 1Instituut-Lorentz, Universiteit Leiden, P.O. Box 9506, NL-2300 RA Leiden, The Netherlands
  • 2Institute of Theoretical Physics, University of Warsaw, Hoża 69, PL-00-681 Warsaw, Poland

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Issue

Vol. 84, Iss. 11 — 15 September 2011

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