Phase diagram of the p-spin-interacting spin glass with ferromagnetic bias and a transverse field in the infinite-p limit

Tomoyuki Obuchi, Hidetoshi Nishimori, David Sherrington

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

The phase diagram of the p-spin-interacting spin glass model in a transverse field is investigated in the limit p → ∞ under the presence of ferromagnetic bias. Using the replica method and the static approximation, we show that the phase diagram consists of four phases: Quantum paramagnetic, classical paramagnetic, ferromagnetic, and spin-glass phases. We also show that the static approximation is valid in the ferromagnetic phase in the limit p → ∞ by using the large-p expansion. Since the same approximation is already known to be valid in other phases, we conclude that the obtained phase diagram is exact.

Original languageEnglish
Article number054002
Journaljournal of the physical society of japan
Volume76
Issue number5
DOIs
Publication statusPublished - 2007 May

Keywords

  • P-spin interaction
  • Phase diagram
  • Quantum effects
  • Random energy model
  • Spin glass

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Phase diagram of the p-spin-interacting spin glass with ferromagnetic bias and a transverse field in the infinite-p limit'. Together they form a unique fingerprint.

Cite this