Path integral of spin models

A path-integral representation of 1D Ising and XY spin models is investigated. Short-time propagator algorithms and a discrete time formalism are used in combination with Grassmann variables non-orthogonal coherent states to get a many-body analytic propagator. Fermion operators satisfying the canon...

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Autor principal: Grinberg, H.
Formato: JOUR
Materias:
Grassmann algebra
Ising model
Partition function
Path integral
XY model
algorithm
article
partition coefficient
quantum mechanics
thermodynamics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03759601_v311_n2-3_p133_Grinberg
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03759601_v311_n2-3_p133_Grinberg
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spelling todo:paper_03759601_v311_n2-3_p133_Grinberg2023-10-03T15:31:04Z Path integral of spin models Grinberg, H. Grassmann algebra Ising model Partition function Path integral XY model algorithm article partition coefficient quantum mechanics thermodynamics A path-integral representation of 1D Ising and XY spin models is investigated. Short-time propagator algorithms and a discrete time formalism are used in combination with Grassmann variables non-orthogonal coherent states to get a many-body analytic propagator. Fermion operators satisfying the canonical anticommutation relations are constructed from the rising and lowering spin operators via the Jordan-Wigner transformation. Computation of the partition function and thermodynamic properties follows from an appropriate tracing over Grassmann variables in the imaginary time domain. © 2003 Elsevier Science B.V. All rights reserved. Fil:Grinberg, H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03759601_v311_n2-3_p133_Grinberg
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Grassmann algebra
Ising model
Partition function
Path integral
XY model
algorithm
article
partition coefficient
quantum mechanics
thermodynamics
spellingShingle Grassmann algebra
Ising model
Partition function
Path integral
XY model
algorithm
article
partition coefficient
quantum mechanics
thermodynamics
Grinberg, H.
Path integral of spin models
topic_facet Grassmann algebra
Ising model
Partition function
Path integral
XY model
algorithm
article
partition coefficient
quantum mechanics
thermodynamics
description A path-integral representation of 1D Ising and XY spin models is investigated. Short-time propagator algorithms and a discrete time formalism are used in combination with Grassmann variables non-orthogonal coherent states to get a many-body analytic propagator. Fermion operators satisfying the canonical anticommutation relations are constructed from the rising and lowering spin operators via the Jordan-Wigner transformation. Computation of the partition function and thermodynamic properties follows from an appropriate tracing over Grassmann variables in the imaginary time domain. © 2003 Elsevier Science B.V. All rights reserved.
format JOUR
author Grinberg, H.
author_facet Grinberg, H.
author_sort Grinberg, H.
title Path integral of spin models
title_short Path integral of spin models
title_full Path integral of spin models
title_fullStr Path integral of spin models
title_full_unstemmed Path integral of spin models
title_sort path integral of spin models
url http://hdl.handle.net/20.500.12110/paper_03759601_v311_n2-3_p133_Grinberg
work_keys_str_mv AT grinbergh pathintegralofspinmodels
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