Thermodynamic properties of quantum lattice models from numerical linked cluster expansions

Marcos Rigol; Rajiv R.P. Singh

doi:10.1016/j.cpc.2008.11.002

Thermodynamic properties of quantum lattice models from numerical linked cluster expansions

Marcos Rigol
, Rajiv R.P. Singh

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

1 Scopus citations

Abstract

We review a recently proposed numerical linked-cluster (NLC) algorithm that allows one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. This approach provides a systematic framework to assess finite-size effects and is valid for any quantum lattice model. We present results for thermodynamic properties of spin and t - J models in different lattice geometries in two-dimensions. In addition, we present an extrapolation scheme that enables one to accelerate the convergence of NLC.

Original language	English (US)
Pages (from-to)	540-544
Number of pages	5
Journal	Computer Physics Communications
Volume	180
Issue number	4
DOIs	https://doi.org/10.1016/j.cpc.2008.11.002
State	Published - Apr 2009

All Science Journal Classification (ASJC) codes

Hardware and Architecture
General Physics and Astronomy

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10.1016/j.cpc.2008.11.002

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title = "Thermodynamic properties of quantum lattice models from numerical linked cluster expansions",

abstract = "We review a recently proposed numerical linked-cluster (NLC) algorithm that allows one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. This approach provides a systematic framework to assess finite-size effects and is valid for any quantum lattice model. We present results for thermodynamic properties of spin and t - J models in different lattice geometries in two-dimensions. In addition, we present an extrapolation scheme that enables one to accelerate the convergence of NLC.",

author = "Marcos Rigol and Singh, \{Rajiv R.P.\}",

note = "Funding Information: This work was supported by startup funds at Georgetown University, and by the US National Science Foundation grant No. DMR-0240918.",

year = "2009",

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doi = "10.1016/j.cpc.2008.11.002",

language = "English (US)",

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journal = "Computer Physics Communications",

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T1 - Thermodynamic properties of quantum lattice models from numerical linked cluster expansions

AU - Rigol, Marcos

AU - Singh, Rajiv R.P.

N1 - Funding Information: This work was supported by startup funds at Georgetown University, and by the US National Science Foundation grant No. DMR-0240918.

PY - 2009/4

Y1 - 2009/4

N2 - We review a recently proposed numerical linked-cluster (NLC) algorithm that allows one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. This approach provides a systematic framework to assess finite-size effects and is valid for any quantum lattice model. We present results for thermodynamic properties of spin and t - J models in different lattice geometries in two-dimensions. In addition, we present an extrapolation scheme that enables one to accelerate the convergence of NLC.

AB - We review a recently proposed numerical linked-cluster (NLC) algorithm that allows one to obtain temperature-dependent properties of quantum lattice models, in the thermodynamic limit, from exact diagonalization of finite clusters. This approach provides a systematic framework to assess finite-size effects and is valid for any quantum lattice model. We present results for thermodynamic properties of spin and t - J models in different lattice geometries in two-dimensions. In addition, we present an extrapolation scheme that enables one to accelerate the convergence of NLC.

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DO - 10.1016/j.cpc.2008.11.002

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SP - 540

EP - 544

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 4

ER -

Thermodynamic properties of quantum lattice models from numerical linked cluster expansions

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