Random transverse-field Ising chain with long-range interactions

R. Juhász, I. A. Kovács, F. Iglói

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

We study the low-energy properties of the long-range random transverse-field Ising chain with ferromagnetic interactions decaying as a power α of the distance. Using variants of the strong-disorder renormalization group method, the critical behavior is found to be controlled by a strong-disorder fixed point with a finite dynamical exponent zc = α. Approaching the critical point, the correlation length diverges exponentially. In the critical point, the magnetization shows an ?-independent logarithmic finite-size scaling and the entanglement entropy satisfies the area law. These observations are argued to hold for other systems with long-range interactions, even in higher dimensions.

Original languageEnglish
Article number47008
JournalEPL
Volume107
Issue number4
DOIs
Publication statusPublished - Aug 1 2014

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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