Exact bounds for dynamical critical exponents of transverse-field Ising chains with a correlated disorder

Tatsuhiko Shirai, Shu Tanaka

Research output: Contribution to journalArticlepeer-review

Abstract

This study investigates the dynamical critical exponent of disordered Ising chains under transverse fields to examine the effect of a correlated disorder on quantum phase transitions. The correlated disorder, where the on-site transverse field depends on the nearest-neighbor coupling strengths connecting the site, gives a qualitatively different result from the uncorrelated disorder. In the uncorrelated disorder cases where the transverse field is either homogeneous over sites or random independently of the nearest-neighbor coupling strengths, the dynamical critical exponent is infinite. In contrast, in the presence of the correlated disorder, we analytically show that the dynamical critical exponent is finite. We also show that the dynamical critical exponent depends on the tuning process of the transverse field strengths.

Original languageEnglish
Article number168483
JournalAnnals of Physics
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • Disordered system
  • Quantum phase transition

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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