Path-integral renormalization group method for numerical study of strongly correlated electron systems

Masatoshi Imada, Tsuyoshi Kashima

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

A numerical algorithm for studying strongly correlated electron systems is proposed. The groundstate wavefunction is projected out after a numerical renormalization procedure in the path integral formalism. The wavefunction is expressed from the optimized linear combination of retained states in the truncated Hilbert space with a numerically chosen basis. This algorithm does not suffer from the negative sign problem and can be applied to any type of Hamiltonian in any dimension. The efficiency is tested in examples of the Hubbard model where the basis of Slater determinants is numerically optimized. We show results on fast convergence and accuracy achieved with a small number of retained states.

Original languageEnglish
Pages (from-to)2723-2726
Number of pages4
JournalJournal of the Physical Society of Japan
Volume69
Issue number9
DOIs
Publication statusPublished - 2000 Jan 1
Externally publishedYes

Fingerprint

renormalization group methods
Hilbert space
determinants
electrons
formalism

Keywords

  • Hubbard model
  • Numerical renormalization group
  • Quantum simulation
  • Strongly correlated electrons

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Path-integral renormalization group method for numerical study of strongly correlated electron systems. / Imada, Masatoshi; Kashima, Tsuyoshi.

In: Journal of the Physical Society of Japan, Vol. 69, No. 9, 01.01.2000, p. 2723-2726.

Research output: Contribution to journalArticle

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