Floating Phase versus Chiral Transition in a 1D Hard-Boson Model

Natalia Chepiga and Frédéric Mila
Phys. Rev. Lett. 122, 017205 – Published 10 January 2019
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Abstract

We investigate the nature of the phase transition between the period-three charge-density wave and the disordered phase of a hard-boson model proposed in the context of cold-atom experiments. Building on a density-matrix renormalization group algorithm that takes full advantage of the hard-boson constraints, we study systems with up to 9000 sites and calculate the correlation length and the wave vector of the incommensurate short-range correlations with unprecedented accuracy. We provide strong numerical evidence that there is an intermediate floating phase far enough from the integrable Potts point, while in its vicinity, our numerical data are consistent with a unique transition in the Huse-Fisher chiral universality class.

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  • Received 27 August 2018

DOI:https://doi.org/10.1103/PhysRevLett.122.017205

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Natalia Chepiga1 and Frédéric Mila2

  • 1Department of Physics and Astronomy, University of California, Irvine, California 92697, USA
  • 2Institute of Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland

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Issue

Vol. 122, Iss. 1 — 11 January 2019

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