Finite-size scaling of pseudocritical point distributions in the random transverse-field Ising chain

Ferenc Iglói, Yu Cheng Lin, Heiko Rieger, Cécile Monthus

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We study the distribution of finite-size pseudocritical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudocritical points are defined in three different ways: the position of the maximum of the average entanglement entropy, the scaling behavior of the surface magnetization, and the energy of a soft mode. All three lead to a log-normal distribution of the pseudocritical transverse fields, where the width scales as L-1/v with v =2 and the shift of the average value scales as L-1/vtyp with vtyp=1, which we related to the scaling of average and typical quantities in the critical region.

Original languageEnglish
Article number064421
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume76
Issue number6
DOIs
Publication statusPublished - Aug 1 2007

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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