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...

Descripción completa

Guardado en:
Detalles Bibliográficos
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
Descripción
Sumario: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.

Ejemplares similares