Critical Exponents of the Quantum Phase Transition in a Planar Antiferromagnet

Matthias Troyer; Masatoshi Imada; Kazuo Ueda

doi:10.1143/JPSJ.66.2957

Critical Exponents of the Quantum Phase Transition in a Planar Antiferromagnet

Matthias Troyer^*, Masatoshi Imada, Kazuo Ueda

^*Corresponding author for this work

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

77 Citations (Scopus)

Abstract

We have performed a large scale quantum Monte Carlo study of the quantum phase transition in a planar spin-1/2 Heisenberg antiferromagnet with CaV₄O₉ structure. We obtain a dynamical exponent z = 1.018 ± 0.02, consistent with Lorentz invariance. The critical exponents β, ν and η agree within our errors with the classical 3D O(3) exponents, expected from mapping to the nonlinear sigma model.

Original language	English
Pages (from-to)	2957-2960
Number of pages	4
Journal	journal of the physical society of japan
Volume	66
Issue number	10
DOIs	https://doi.org/10.1143/JPSJ.66.2957
Publication status	Published - 1997 Oct
Externally published	Yes

Keywords

Berry phase
Critical exponent
Non-linear sigma model
Quantum Heisenberg antiferromagnet
Quantum Monte Carlo
Quantum critical
Quantum disordered
Quantum phase transition
Renormalized classical

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.66.2957

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abstract = "We have performed a large scale quantum Monte Carlo study of the quantum phase transition in a planar spin-1/2 Heisenberg antiferromagnet with CaV4O9 structure. We obtain a dynamical exponent z = 1.018 ± 0.02, consistent with Lorentz invariance. The critical exponents β, ν and η agree within our errors with the classical 3D O(3) exponents, expected from mapping to the nonlinear sigma model.",

keywords = "Berry phase, Critical exponent, Non-linear sigma model, Quantum Heisenberg antiferromagnet, Quantum Monte Carlo, Quantum critical, Quantum disordered, Quantum phase transition, Renormalized classical",

author = "Matthias Troyer and Masatoshi Imada and Kazuo Ueda",

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AU - Troyer, Matthias

AU - Imada, Masatoshi

AU - Ueda, Kazuo

PY - 1997/10

Y1 - 1997/10

N2 - We have performed a large scale quantum Monte Carlo study of the quantum phase transition in a planar spin-1/2 Heisenberg antiferromagnet with CaV4O9 structure. We obtain a dynamical exponent z = 1.018 ± 0.02, consistent with Lorentz invariance. The critical exponents β, ν and η agree within our errors with the classical 3D O(3) exponents, expected from mapping to the nonlinear sigma model.

AB - We have performed a large scale quantum Monte Carlo study of the quantum phase transition in a planar spin-1/2 Heisenberg antiferromagnet with CaV4O9 structure. We obtain a dynamical exponent z = 1.018 ± 0.02, consistent with Lorentz invariance. The critical exponents β, ν and η agree within our errors with the classical 3D O(3) exponents, expected from mapping to the nonlinear sigma model.

KW - Berry phase

KW - Critical exponent

KW - Non-linear sigma model

KW - Quantum Heisenberg antiferromagnet

KW - Quantum Monte Carlo

KW - Quantum critical

KW - Quantum disordered

KW - Quantum phase transition

KW - Renormalized classical

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JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

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Critical Exponents of the Quantum Phase Transition in a Planar Antiferromagnet

Abstract

Keywords

ASJC Scopus subject areas

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