Quantum Monte Carlo study of a Heisenberg spin system in two dimensions with long-range interactions

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

doi:10.1063/1.1356040

Quantum Monte Carlo study of a Heisenberg spin system in two dimensions with long-range interactions

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

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

The thermodynamic properties and critical behavior of a Heisenberg ferromagnet in two dimensions are studied using the Handscomb quantum Monte Carlo method. The spins (with quantum number S=1/2) are arranged on a square lattice and have a long-range interaction with u power-law decrease, J(r)∝r^-p, with distance r. The parameter p is taken to be in the range 2<p≤6. The system has an ordering transition at a nonzero temperature T_c when 2<p<4. The dependence of T_c on p and the critical behavior of the susceptibility are investigated. Properties of spin correlation functions in different regimes (of p and T) are discussed. The results are compared with previous approximate analytic quantum theories.

Original language	English (US)
Pages (from-to)	7329-7331
Number of pages	3
Journal	Journal of Applied Physics
Volume	89
Issue number	11 II
DOIs	https://doi.org/10.1063/1.1356040
State	Published - Jun 1 2001
Externally published	Yes
Event	8th Joint Magnetism and Magnetic Materials-Intermag Conference - San Antonio, TX, United States Duration: Jan 7 2001 → Jan 11 2001

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/1.1356040

Cite this

@article{a48698a43eb9462ca65d7d78d0f30c4e,

title = "Quantum Monte Carlo study of a Heisenberg spin system in two dimensions with long-range interactions",

abstract = "The thermodynamic properties and critical behavior of a Heisenberg ferromagnet in two dimensions are studied using the Handscomb quantum Monte Carlo method. The spins (with quantum number S=1/2) are arranged on a square lattice and have a long-range interaction with u power-law decrease, J(r)∝r-p, with distance r. The parameter p is taken to be in the range 2c when 2c on p and the critical behavior of the susceptibility are investigated. Properties of spin correlation functions in different regimes (of p and T) are discussed. The results are compared with previous approximate analytic quantum theories.",

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

year = "2001",

month = jun,

day = "1",

doi = "10.1063/1.1356040",

language = "English (US)",

volume = "89",

pages = "7329--7331",

journal = "Journal of Applied Physics",

issn = "0021-8979",

publisher = "American Institute of Physics Publising LLC",

number = "11 II",

note = "8th Joint Magnetism and Magnetic Materials-Intermag Conference ; Conference date: 07-01-2001 Through 11-01-2001",

}

TY - JOUR

T1 - Quantum Monte Carlo study of a Heisenberg spin system in two dimensions with long-range interactions

AU - Vassiliev, O. N.

AU - Cottam, M. G.

AU - Rojdestvenski, I. V.

PY - 2001/6/1

Y1 - 2001/6/1

N2 - The thermodynamic properties and critical behavior of a Heisenberg ferromagnet in two dimensions are studied using the Handscomb quantum Monte Carlo method. The spins (with quantum number S=1/2) are arranged on a square lattice and have a long-range interaction with u power-law decrease, J(r)∝r-p, with distance r. The parameter p is taken to be in the range 2c when 2c on p and the critical behavior of the susceptibility are investigated. Properties of spin correlation functions in different regimes (of p and T) are discussed. The results are compared with previous approximate analytic quantum theories.

AB - The thermodynamic properties and critical behavior of a Heisenberg ferromagnet in two dimensions are studied using the Handscomb quantum Monte Carlo method. The spins (with quantum number S=1/2) are arranged on a square lattice and have a long-range interaction with u power-law decrease, J(r)∝r-p, with distance r. The parameter p is taken to be in the range 2c when 2c on p and the critical behavior of the susceptibility are investigated. Properties of spin correlation functions in different regimes (of p and T) are discussed. The results are compared with previous approximate analytic quantum theories.

UR - http://www.scopus.com/inward/record.url?scp=0035356793&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035356793&partnerID=8YFLogxK

U2 - 10.1063/1.1356040

DO - 10.1063/1.1356040

M3 - Conference article

AN - SCOPUS:0035356793

SN - 0021-8979

VL - 89

SP - 7329

EP - 7331

JO - Journal of Applied Physics

JF - Journal of Applied Physics

IS - 11 II

T2 - 8th Joint Magnetism and Magnetic Materials-Intermag Conference

Y2 - 7 January 2001 through 11 January 2001

ER -

Quantum Monte Carlo study of a Heisenberg spin system in two dimensions with long-range interactions

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this