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A generalization of Handscomb's quantum Monte Carlo scheme-application to the 1D Hubbard model

A W Sandvik

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A recently introduced generalization of Handscomb's quantum Monte Carlo scheme (1962) is further developed. Expressions for expectation values of various observables are studied in detail. A more efficient algorithm for importance sampling in a space of state vectors and operator strings is constructed, using the 1D Hubbard model as an illustrative example. As a test of the method, 32-site rings at band fillings 1/4, 3/8 and 1/2 are studied at a low temperature. Results for spin- and charge-density structure factors and static susceptibilities are presented.


PACS

02.70.Ss Quantum Monte Carlo methods

75.10.Lp Band and itinerant models

75.40.Cx Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)

75.40.Mg Numerical simulation studies

MSC

82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)

Subjects

Computational physics

Condensed matter: electrical, magnetic and optical

Dates

Issue 13 (7 July 1992)



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