Scaling analysis of domain-wall free energy in the Edwards-Anderson Ising spin glass in a magnetic field

M. Sasaki, K. Hukushima, H. Yoshino, H. Takayama

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

The stability of the spin-glass phase against a magnetic field is studied in the three- and four-dimensional Edwards-Anderson Ising spin glasses. Effective couplings Jeff and effective fields Heff associated with length scale L are measured by a numerical domain-wall renormalization-group method. The results obtained by scaling analysis of the data strongly indicate the existence of a crossover length beyond which the spin-glass order is destroyed by field H. The crossover length well obeys a power law of H which diverges as H→0 but remains finite for any nonzero H, implying that the spin-glass phase is absent even in an infinitesimal field. These results are well consistent with the droplet theory for short-range spin glasses.

Original languageEnglish
Article number137202
JournalPhysical review letters
Volume99
Issue number13
DOIs
Publication statusPublished - 2007 Sep 25

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Scaling analysis of domain-wall free energy in the Edwards-Anderson Ising spin glass in a magnetic field'. Together they form a unique fingerprint.

Cite this