Hybrid Monte Carlo algorithm for the double exchange model

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dc.contributor.authorAlonso, J. L.
dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorGuinea, F
dc.contributor.authorLaliena, V.
dc.contributor.authorMartín Mayor, Víctor
dc.date.accessioned2023-06-20T20:18:33Z
dc.date.available2023-06-20T20:18:33Z
dc.date.issued2001-03-05
dc.description© 2001 Elsevier Science B.V. We acknowledge financial support from grants PB96-0875, AEN97-1680, AEN97-1693, AEN99-0990 (MEC, Spain) and (07N/0045/98) (C. Madrid). V.M.-M. is a MEC fellow. The simulations have been carried out in RTNN computers at Zaragoza and Madrid.
dc.description.abstractThe Hybrid Monte Carlo algorithm is adapted to the simulation of a system of classical degrees of freedom coupled to non self-interacting lattices fermions. The diagonalization of the Hamiltonian matrix is avoided by introducing a path-integral formulation of the problem, in d + 1 Euclidean space–time. A perfect action formulation allows to work on the continuum Euclidean time, without need for a Trotter–Suzuki extrapolation. To demonstrate the feasibility of the method we study the Double Exchange Model in three dimensions. The complexity of the algorithm grows only as the system volume, allowing to simulate in lattices as large as 163 on a personal computer. We conclude that the second order paramagnetic–ferromagnetic phase transition of Double Exchange Materials close to half-filling belongs to the Universality Class of the three-dimensional classical Heisenberg model.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMEC, Spain
dc.description.sponsorshipC. Madrid, Spain
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/40024
dc.identifier.doi10.1016/S0550-3213(00)00681-7
dc.identifier.issn0550-3213
dc.identifier.officialurlhttp://doi.org/10.1016/S0550-3213(00)00681-7
dc.identifier.relatedurlhttp://www.sciencedirect.com/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/60055
dc.issue.number3
dc.journal.titleNuclear physics B
dc.language.isoeng
dc.page.final610
dc.page.initial587
dc.publisherElsevier
dc.relation.projectIDPB96-0875
dc.relation.projectIDAEN97-1680
dc.relation.projectIDAEN97-1693
dc.relation.projectIDAEN99-0990
dc.relation.projectID07N/0045/98
dc.rights.accessRightsopen access
dc.subject.cdu53
dc.subject.keywordAntiferromagnetic RP(2) model
dc.subject.keywordColossal magnetoresistance
dc.subject.keywordNumerical-simulation
dc.subject.keyword3 dimensions
dc.subject.keywordManganites
dc.subject.keywordLattice
dc.subject.keywordPerovskites
dc.subject.keywordDynamics
dc.subject.keywordFermions
dc.subject.keywordCharge.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleHybrid Monte Carlo algorithm for the double exchange model
dc.typejournal article
dc.volume.number596
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