Quantum Monte-Carlo study of phase transitions in Heisenberg chains with long-range interactions

O. N. Vassiliev; M. G. Cottam; I. V. Rojdestvenski

doi:10.1016/S0304-8853(00)00692-2

Quantum Monte-Carlo study of phase transitions in Heisenberg chains with long-range interactions

O. N. Vassiliev, M. G. Cottam, I. V. Rojdestvenski

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

2 Scopus citations

Abstract

Ordering transitions in the Heisenberg ferromagnetic chains are studied using the Handscomb quantum Monte-Carlo method. The spin-coupling parameter depends as r^-p on the distance r between spins. The spin correlation function, susceptibility and long-range order are investigated. The transition is found to exist when p < 2 in agreement with previous predictions. Temperatures of the transition and critical exponents are estimated. No indications of the transition are found when p ≥ 2. In the case of p = 2 (the Haldane-Shastry model) the Monte-Carlo results agree with known exact formulae.

Original language	English (US)
Pages (from-to)	588-589
Number of pages	2
Journal	Journal of Magnetism and Magnetic Materials
Volume	226-230
Issue number	PART I
DOIs	https://doi.org/10.1016/S0304-8853(00)00692-2
State	Published - 2001
Externally published	Yes

Keywords

Heisenberg chain
Monte-Carlo simulation
Phase transitions
Spin correlation functions

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1016/S0304-8853(00)00692-2

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title = "Quantum Monte-Carlo study of phase transitions in Heisenberg chains with long-range interactions",

abstract = "Ordering transitions in the Heisenberg ferromagnetic chains are studied using the Handscomb quantum Monte-Carlo method. The spin-coupling parameter depends as r-p on the distance r between spins. The spin correlation function, susceptibility and long-range order are investigated. The transition is found to exist when p < 2 in agreement with previous predictions. Temperatures of the transition and critical exponents are estimated. No indications of the transition are found when p ≥ 2. In the case of p = 2 (the Haldane-Shastry model) the Monte-Carlo results agree with known exact formulae.",

keywords = "Heisenberg chain, Monte-Carlo simulation, Phase transitions, Spin correlation functions",

author = "Vassiliev, {O. N.} and Cottam, {M. G.} and Rojdestvenski, {I. V.}",

year = "2001",

doi = "10.1016/S0304-8853(00)00692-2",

language = "English (US)",

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journal = "Journal of Magnetism and Magnetic Materials",

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publisher = "Elsevier",

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TY - JOUR

T1 - Quantum Monte-Carlo study of phase transitions in Heisenberg chains with long-range interactions

AU - Vassiliev, O. N.

AU - Cottam, M. G.

AU - Rojdestvenski, I. V.

PY - 2001

Y1 - 2001

N2 - Ordering transitions in the Heisenberg ferromagnetic chains are studied using the Handscomb quantum Monte-Carlo method. The spin-coupling parameter depends as r-p on the distance r between spins. The spin correlation function, susceptibility and long-range order are investigated. The transition is found to exist when p < 2 in agreement with previous predictions. Temperatures of the transition and critical exponents are estimated. No indications of the transition are found when p ≥ 2. In the case of p = 2 (the Haldane-Shastry model) the Monte-Carlo results agree with known exact formulae.

AB - Ordering transitions in the Heisenberg ferromagnetic chains are studied using the Handscomb quantum Monte-Carlo method. The spin-coupling parameter depends as r-p on the distance r between spins. The spin correlation function, susceptibility and long-range order are investigated. The transition is found to exist when p < 2 in agreement with previous predictions. Temperatures of the transition and critical exponents are estimated. No indications of the transition are found when p ≥ 2. In the case of p = 2 (the Haldane-Shastry model) the Monte-Carlo results agree with known exact formulae.

KW - Heisenberg chain

KW - Monte-Carlo simulation

KW - Phase transitions

KW - Spin correlation functions

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DO - 10.1016/S0304-8853(00)00692-2

M3 - Article

AN - SCOPUS:33748697646

SN - 0304-8853

VL - 226-230

SP - 588

EP - 589

JO - Journal of Magnetism and Magnetic Materials

JF - Journal of Magnetism and Magnetic Materials

IS - PART I

ER -

Quantum Monte-Carlo study of phase transitions in Heisenberg chains with long-range interactions

Abstract

Keywords

ASJC Scopus subject areas

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