Ground State of Quantum Spin Glass with Infinite Range Interactions

Hidetoshi Nishimori; Yoshihiro Taguchi; Takehiko Oguchi

doi:10.1143/JPSJ.55.656

Ground State of Quantum Spin Glass with Infinite Range Interactions

Hidetoshi Nishimori, Yoshihiro Taguchi, Takehiko Oguchi

INF - Applied Information Sciences

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We have investigated the spin-1/2 random Heisenberg model with infinite range interactions by a numerical method. Extrapolation of finite size (N ≦ 16) properties to the infinite system has yielded the following results. The average ground state energy is lower than that of the SK model (Ising spin) by about 25%. In the ground state, a critical point between the spin glass and ferromagnetic (mixed) phases exists just around the critical point [formula omitted] of the corresponding classical random Heisenberg model. Quantum fluctuations are concluded not to change the ground state properties qualitatively.

Original language	English
Pages (from-to)	656-659
Number of pages	4
Journal	journal of the physical society of japan
Volume	55
Issue number	2
DOIs	https://doi.org/10.1143/JPSJ.55.656
Publication status	Published - 1986

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1143/JPSJ.55.656

Fingerprint Dive into the research topics of 'Ground State of Quantum Spin Glass with Infinite Range Interactions'. Together they form a unique fingerprint.

Cite this

@article{34923cf27dcc41e49299ccc1c5704273,

title = "Ground State of Quantum Spin Glass with Infinite Range Interactions",

abstract = "We have investigated the spin-1/2 random Heisenberg model with infinite range interactions by a numerical method. Extrapolation of finite size (N ≦ 16) properties to the infinite system has yielded the following results. The average ground state energy is lower than that of the SK model (Ising spin) by about 25%. In the ground state, a critical point between the spin glass and ferromagnetic (mixed) phases exists just around the critical point [formula omitted] of the corresponding classical random Heisenberg model. Quantum fluctuations are concluded not to change the ground state properties qualitatively.",

author = "Hidetoshi Nishimori and Yoshihiro Taguchi and Takehiko Oguchi",

year = "1986",

doi = "10.1143/JPSJ.55.656",

language = "English",

volume = "55",

pages = "656--659",

journal = "Journal of the Physical Society of Japan",

issn = "0031-9015",

publisher = "Physical Society of Japan",

number = "2",

}

TY - JOUR

T1 - Ground State of Quantum Spin Glass with Infinite Range Interactions

AU - Nishimori, Hidetoshi

AU - Taguchi, Yoshihiro

AU - Oguchi, Takehiko

PY - 1986

Y1 - 1986

N2 - We have investigated the spin-1/2 random Heisenberg model with infinite range interactions by a numerical method. Extrapolation of finite size (N ≦ 16) properties to the infinite system has yielded the following results. The average ground state energy is lower than that of the SK model (Ising spin) by about 25%. In the ground state, a critical point between the spin glass and ferromagnetic (mixed) phases exists just around the critical point [formula omitted] of the corresponding classical random Heisenberg model. Quantum fluctuations are concluded not to change the ground state properties qualitatively.

AB - We have investigated the spin-1/2 random Heisenberg model with infinite range interactions by a numerical method. Extrapolation of finite size (N ≦ 16) properties to the infinite system has yielded the following results. The average ground state energy is lower than that of the SK model (Ising spin) by about 25%. In the ground state, a critical point between the spin glass and ferromagnetic (mixed) phases exists just around the critical point [formula omitted] of the corresponding classical random Heisenberg model. Quantum fluctuations are concluded not to change the ground state properties qualitatively.

UR - http://www.scopus.com/inward/record.url?scp=0022659210&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022659210&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.55.656

DO - 10.1143/JPSJ.55.656

M3 - Article

AN - SCOPUS:0022659210

VL - 55

SP - 656

EP - 659

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 2

ER -