Quantum Monte Carlo simulations revisited: The case of anisotropic Heisenberg chains

P. Androvitsaneas; Nikolaos G. Fytas; E. Paspalakis; A. F. Terzis

doi:10.1080/14786435.2012.716200

Quantum Monte Carlo simulations revisited: The case of anisotropic Heisenberg chains

P. Androvitsaneas
, Nikolaos G. Fytas
, E. Paspalakis
, A. F. Terzis

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

2 Citations (Scopus)

Abstract

We revisit one of the first quantum Monte Carlo methods using a combination of the Suzuki–Trotter transformation and Taylor series expansion for the XYZ Heisenberg chain S=1/2 with a magnetic field along the z-axis. We show a substantial gain in accuracy and computational time. This combination is especially useful for small magnetic fields and lower temperatures.

Original language	English
Pages (from-to)	4649-4656
Journal	Philosophical Magazine
Volume	92
Issue number	36
DOIs	https://doi.org/10.1080/14786435.2012.716200
Publication status	Published - 31 Aug 2012

Bibliographical note

The full text is currently unavailable on the repository.

Keywords

quantum Monte Carlo method
anisotropic Heisenberg chain
Suzuki–Trotter transformation

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10.1080/14786435.2012.716200

Cite this

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title = "Quantum Monte Carlo simulations revisited: The case of anisotropic Heisenberg chains",

abstract = "We revisit one of the first quantum Monte Carlo methods using a combination of the Suzuki–Trotter transformation and Taylor series expansion for the XYZ Heisenberg chain S=1/2 with a magnetic field along the z-axis. We show a substantial gain in accuracy and computational time. This combination is especially useful for small magnetic fields and lower temperatures.",

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AU - Fytas, Nikolaos G.

AU - Paspalakis, E.

AU - Terzis, A. F.

N1 - The full text is currently unavailable on the repository.

PY - 2012/8/31

Y1 - 2012/8/31

N2 - We revisit one of the first quantum Monte Carlo methods using a combination of the Suzuki–Trotter transformation and Taylor series expansion for the XYZ Heisenberg chain S=1/2 with a magnetic field along the z-axis. We show a substantial gain in accuracy and computational time. This combination is especially useful for small magnetic fields and lower temperatures.

AB - We revisit one of the first quantum Monte Carlo methods using a combination of the Suzuki–Trotter transformation and Taylor series expansion for the XYZ Heisenberg chain S=1/2 with a magnetic field along the z-axis. We show a substantial gain in accuracy and computational time. This combination is especially useful for small magnetic fields and lower temperatures.

KW - quantum Monte Carlo method

KW - anisotropic Heisenberg chain

KW - Suzuki–Trotter transformation

U2 - 10.1080/14786435.2012.716200

DO - 10.1080/14786435.2012.716200

M3 - Article

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SN - 1478-6443

VL - 92

SP - 4649

EP - 4656

JO - Philosophical Magazine

JF - Philosophical Magazine

IS - 36

ER -

Quantum Monte Carlo simulations revisited: The case of anisotropic Heisenberg chains

Abstract

Bibliographical note

Keywords

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