A New Hybrid Algorithm for Fermion Simulations Applied to the Hubbard Model

Masatoshi Imada

doi:10.1143/JPSJ.57.42

A New Hybrid Algorithm for Fermion Simulations Applied to the Hubbard Model

Masatoshi Imada^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

A new hybrid-type algorithm is proposed for simulations of fermion lattices. The direct calculation of the matrix inversion operation is replaced with a stochastic iteration procedure. The computation time grows linearly with the increase of spatial system size. Applications to the Hubbard model on the 6², 12² and 16² square lattices are illustrated with no indication of enhancement for superconducting correlation in the non-half-filled band.

Original language	English
Pages (from-to)	42-45
Number of pages	4
Journal	journal of the physical society of japan
Volume	57
Issue number	1
DOIs	https://doi.org/10.1143/JPSJ.57.42
Publication status	Published - 1988
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

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abstract = "A new hybrid-type algorithm is proposed for simulations of fermion lattices. The direct calculation of the matrix inversion operation is replaced with a stochastic iteration procedure. The computation time grows linearly with the increase of spatial system size. Applications to the Hubbard model on the 62, 122 and 162 square lattices are illustrated with no indication of enhancement for superconducting correlation in the non-half-filled band.",

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A New Hybrid Algorithm for Fermion Simulations Applied to the Hubbard Model

Abstract

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