TY - JOUR

T1 - Phase diagram of the p-spin-interacting spin glass with ferromagnetic bias and a transverse field in the infinite-p limit

AU - Obuchi, Tomoyuki

AU - Nishimori, Hidetoshi

AU - Sherrington, David

PY - 2007/5

Y1 - 2007/5

N2 - 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.

AB - 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.

KW - P-spin interaction

KW - Phase diagram

KW - Quantum effects

KW - Random energy model

KW - Spin glass

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U2 - 10.1143/JPSJ.76.054002

DO - 10.1143/JPSJ.76.054002

M3 - Article

AN - SCOPUS:34547404824

SN - 0031-9015

VL - 76

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 5

M1 - 054002

ER -