Numerical studies of various Néel-VBS transitions in SU(N) anti-ferromagnets

Ribhu K. Kaul; Matthew S. Block

doi:10.1088/1742-6596/640/1/012041

Numerical studies of various Néel-VBS transitions in SU(N) anti-ferromagnets

Ribhu K. Kaul, Matthew S. Block

Physics

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

5 Scopus citations

Abstract

In this manuscript we review recent developments in the numerical simulations of bipartite SU(N) spin models by quantum Monte Carlo (QMC) methods. We provide an account of a large family of newly discovered sign-problem free spin models which can be simulated in their ground states on large lattices, containing O(10⁵) spins, using the stochastic series expansion method with efficient loop algorithms. One of the most important applications so far of these Hamiltonians are to unbiased studies of quantum criticality between Neel and valence bond phases in two dimensions - a summary of this body of work is provided. The article concludes with an overview of the current status of and outlook for future studies of the "designer" Hamiltonians.

Original language	English (US)
Article number	012041
Journal	Journal of Physics: Conference Series
Volume	640
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/640/1/012041
State	Published - Sep 28 2015
Event	26th IUPAP Conference on Computational Physics, CCP 2014 - Boston, United States Duration: Aug 11 2014 → Aug 14 2014

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1088/1742-6596/640/1/012041

Cite this

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title = "Numerical studies of various N{\'e}el-VBS transitions in SU(N) anti-ferromagnets",

abstract = "In this manuscript we review recent developments in the numerical simulations of bipartite SU(N) spin models by quantum Monte Carlo (QMC) methods. We provide an account of a large family of newly discovered sign-problem free spin models which can be simulated in their ground states on large lattices, containing O(105) spins, using the stochastic series expansion method with efficient loop algorithms. One of the most important applications so far of these Hamiltonians are to unbiased studies of quantum criticality between Neel and valence bond phases in two dimensions - a summary of this body of work is provided. The article concludes with an overview of the current status of and outlook for future studies of the {"}designer{"} Hamiltonians.",

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T1 - Numerical studies of various Néel-VBS transitions in SU(N) anti-ferromagnets

AU - Kaul, Ribhu K.

AU - Block, Matthew S.

PY - 2015/9/28

Y1 - 2015/9/28

N2 - In this manuscript we review recent developments in the numerical simulations of bipartite SU(N) spin models by quantum Monte Carlo (QMC) methods. We provide an account of a large family of newly discovered sign-problem free spin models which can be simulated in their ground states on large lattices, containing O(105) spins, using the stochastic series expansion method with efficient loop algorithms. One of the most important applications so far of these Hamiltonians are to unbiased studies of quantum criticality between Neel and valence bond phases in two dimensions - a summary of this body of work is provided. The article concludes with an overview of the current status of and outlook for future studies of the "designer" Hamiltonians.

AB - In this manuscript we review recent developments in the numerical simulations of bipartite SU(N) spin models by quantum Monte Carlo (QMC) methods. We provide an account of a large family of newly discovered sign-problem free spin models which can be simulated in their ground states on large lattices, containing O(105) spins, using the stochastic series expansion method with efficient loop algorithms. One of the most important applications so far of these Hamiltonians are to unbiased studies of quantum criticality between Neel and valence bond phases in two dimensions - a summary of this body of work is provided. The article concludes with an overview of the current status of and outlook for future studies of the "designer" Hamiltonians.

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DO - 10.1088/1742-6596/640/1/012041

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SN - 1742-6588

VL - 640

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

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T2 - 26th IUPAP Conference on Computational Physics, CCP 2014

Y2 - 11 August 2014 through 14 August 2014

ER -

Numerical studies of various Néel-VBS transitions in SU(N) anti-ferromagnets

Abstract

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