Stochastic gradient approximation method applied to Hubbard model

2001/01/31 by A. Harju, Ari Harju, Harju, A.
Physics and Astronomy · #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0101465

5 pages, 4 Postscript figures

arxiv created 2001/01/31 · openalex publication_date 2001/01/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The two-dimensional Hubbard model is studied using the variational quantum Monte Carlo technique with Gutzwiller-type variational wave functions. In addition to the simple one-site correlated Gutzwiller wave function, we use a form with correlation between electrons on nearest- and next-nearest-neighbor sites. We show that the stochastic gradient approximation method suits very well for the optimization of the free parameters of the variational wave functions.

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