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

1992/07/07 by Anders W. Sandvik, A W Sandvik · 5 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena

paper · doi:10.1088/0305-4470/25/13/017

openalex publication_date 1992/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

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.

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• Introduction to Quantum Monte Carlo simulations for fermionic systems
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