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dc.contributor.authorWang, JZen_US
dc.contributor.authorYang, TJen_US
dc.date.accessioned2019-04-03T06:38:53Z-
dc.date.available2019-04-03T06:38:53Z-
dc.date.issued1996-11-15en_US
dc.identifier.issn0163-1829en_US
dc.identifier.urihttp://dx.doi.org/10.1103/PhysRevB.54.13635en_US
dc.identifier.urihttp://hdl.handle.net/11536/149367-
dc.description.abstractBased on the microcanonical ensemble theory in statistical mechanics, we devise a method that can be used to enhance the capability of numerical calculation on statistical models with large lattice sizes. In our method, we take the expectation value of the energy, as defined in quantum mechanics, instead of the eigenvalue as the energy of a physical system. We show mathematically that the relevant physical quantities obtained in this way are unchanged in the thermodynamical limit and we apply this method to numerical calculations. In this paper, we present our numerical results with the one-dimensional spinless fermionic model as a first test of our method. The numerical calculations are done to a 4096 lattice size using a computer with a speed of about 40 mflops. Our numerical data agree quite well with the exact values. Also, the fluctuation of data is small, in contrast to that obtained using the quantum Monte Carlo method.en_US
dc.language.isoen_USen_US
dc.titleNumerical microcanonical ensemble method for calculation on statistical models with large lattice sizesen_US
dc.typeArticleen_US
dc.identifier.doi10.1103/PhysRevB.54.13635en_US
dc.identifier.journalPHYSICAL REVIEW Ben_US
dc.citation.volume54en_US
dc.citation.issue19en_US
dc.citation.spage13635en_US
dc.citation.epage13642en_US
dc.contributor.department電子物理學系zh_TW
dc.contributor.departmentDepartment of Electrophysicsen_US
dc.identifier.wosnumberWOS:A1996VV26400048en_US
dc.citation.woscount1en_US
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