Quantum Monte-Carlo study of the Heisenberg chain with long-range ferromagnetic interactions

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

doi:10.1016/S0378-4371(01)00125-X

Quantum Monte-Carlo study of the Heisenberg chain with long-range ferromagnetic interactions

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

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

8 Scopus citations

Abstract

Thermodynamic properties of the Heisenberg ferromagnetic chain are investigated using the Handscomb quantum Monte-Carlo method. The spin-spin interaction is long-range with the spin coupling parameter depending as r^-p on the distance r between spins. Parameter p is in the range 1 < p ≤ 4. The spin correlation function, long-range order and susceptibility are discussed. An ordering transition is found to exists when p < 2. The critical temperature and related critical exponents are estimated. Results for the Haldane-Shastry model (p = 2) agree with exact formulae.

Original language	English (US)
Pages (from-to)	139-154
Number of pages	16
Journal	Physica A: Statistical Mechanics and its Applications
Volume	294
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-4371(01)00125-X
State	Published - May 1 2001
Externally published	Yes

Keywords

Heisenberg ferromagnet
Long-range interaction
Monte-Carlo method
Phase transition

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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10.1016/S0378-4371(01)00125-X

Cite this

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title = "Quantum Monte-Carlo study of the Heisenberg chain with long-range ferromagnetic interactions",

abstract = "Thermodynamic properties of the Heisenberg ferromagnetic chain are investigated using the Handscomb quantum Monte-Carlo method. The spin-spin interaction is long-range with the spin coupling parameter depending as r-p on the distance r between spins. Parameter p is in the range 1 < p ≤ 4. The spin correlation function, long-range order and susceptibility are discussed. An ordering transition is found to exists when p < 2. The critical temperature and related critical exponents are estimated. Results for the Haldane-Shastry model (p = 2) agree with exact formulae.",

keywords = "Heisenberg ferromagnet, Long-range interaction, Monte-Carlo method, Phase transition",

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

note = "Funding Information: We acknowledge partial support for this work from N.S.E.R.C. of Canada and from the award (to O.V.) of an Ontario Graduate Scholarship.",

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doi = "10.1016/S0378-4371(01)00125-X",

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TY - JOUR

T1 - Quantum Monte-Carlo study of the Heisenberg chain with long-range ferromagnetic interactions

AU - Vassiliev, O. N.

AU - Rojdestvenski, I. V.

AU - Cottam, M. G.

N1 - Funding Information: We acknowledge partial support for this work from N.S.E.R.C. of Canada and from the award (to O.V.) of an Ontario Graduate Scholarship.

PY - 2001/5/1

Y1 - 2001/5/1

N2 - Thermodynamic properties of the Heisenberg ferromagnetic chain are investigated using the Handscomb quantum Monte-Carlo method. The spin-spin interaction is long-range with the spin coupling parameter depending as r-p on the distance r between spins. Parameter p is in the range 1 < p ≤ 4. The spin correlation function, long-range order and susceptibility are discussed. An ordering transition is found to exists when p < 2. The critical temperature and related critical exponents are estimated. Results for the Haldane-Shastry model (p = 2) agree with exact formulae.

AB - Thermodynamic properties of the Heisenberg ferromagnetic chain are investigated using the Handscomb quantum Monte-Carlo method. The spin-spin interaction is long-range with the spin coupling parameter depending as r-p on the distance r between spins. Parameter p is in the range 1 < p ≤ 4. The spin correlation function, long-range order and susceptibility are discussed. An ordering transition is found to exists when p < 2. The critical temperature and related critical exponents are estimated. Results for the Haldane-Shastry model (p = 2) agree with exact formulae.

KW - Heisenberg ferromagnet

KW - Long-range interaction

KW - Monte-Carlo method

KW - Phase transition

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2

ER -

Quantum Monte-Carlo study of the Heisenberg chain with long-range ferromagnetic interactions

Abstract

Keywords

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