Scaling behavior of the Heisenberg model in three dimensions

A. Gordillo-Guerrero; Ralph Kenna; J.J. Ruiz-Lorenzo

doi:10.1103/PhysRevE.88.062117

Scaling behavior of the Heisenberg model in three dimensions

A. Gordillo-Guerrero, Ralph Kenna, J.J. Ruiz-Lorenzo

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Abstract

We report on extensive numerical simulations of the three-dimensional Heisenberg model and its analysis through finite-size scaling of Lee-Yang zeros. Besides the critical regime, we also investigate scaling in the ferromagnetic phase. We show that, in this case of broken symmetry, the corrections to scaling contain information on the Goldstone modes. We present a comprehensive Lee-Yang analysis, including the density of zeros, and confirm recent numerical estimates for critical exponents.

Original language	English
Article number	062117
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	88
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.88.062117
Publication status	Published - 2013

Bibliographical note

Keywords

broken symmetry
critical exponent
critical regimes
ferromagnetic phase
finite size scaling
Heisenberg models
scaling behavior
three dimensions
condensed matter physics
physics

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10.1103/PhysRevE.88.062117

Scaling behaviorFinal published version, 531 KB

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title = "Scaling behavior of the Heisenberg model in three dimensions",

abstract = "We report on extensive numerical simulations of the three-dimensional Heisenberg model and its analysis through finite-size scaling of Lee-Yang zeros. Besides the critical regime, we also investigate scaling in the ferromagnetic phase. We show that, in this case of broken symmetry, the corrections to scaling contain information on the Goldstone modes. We present a comprehensive Lee-Yang analysis, including the density of zeros, and confirm recent numerical estimates for critical exponents. ",

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AU - Kenna, Ralph

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AB - We report on extensive numerical simulations of the three-dimensional Heisenberg model and its analysis through finite-size scaling of Lee-Yang zeros. Besides the critical regime, we also investigate scaling in the ferromagnetic phase. We show that, in this case of broken symmetry, the corrections to scaling contain information on the Goldstone modes. We present a comprehensive Lee-Yang analysis, including the density of zeros, and confirm recent numerical estimates for critical exponents.

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KW - ferromagnetic phase

KW - finite size scaling

KW - Heisenberg models

KW - scaling behavior

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KW - condensed matter physics

KW - physics

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DO - 10.1103/PhysRevE.88.062117

M3 - Article

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Scaling behavior of the Heisenberg model in three dimensions

Abstract

Bibliographical note

Keywords

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