Path-integral renormalization group method for numerical study on ground states of strongly correlated electronic systems

Tsuyoshi Kashima, Masatoshi Imada

研究成果: Article査読

77 被引用数 (Scopus)

抄録

A new efficient numerical algorithm for interacting fermion systems is proposed and examined in detail. The ground state is expressed approximately by a linear combination of numerically chosen basis states in a truncated Hilbert space. Two procedures lead to a better approximation. The first is a numerical renormalization, which optimizes the chosen basis and projects onto the ground state within the fixed dimension, L, of the Hilbert space. The second is an increase of the dimension of the truncated Hilbert space, which enables the linear combination to converge to a better approximation. The extrapolation L → ∞ after the convergence removes the approximation error systematically. This algorithm does not suffer from the negative sign problem and can be applied to systems in any spatial dimension and arbitrary lattice structure. The efficiency is tested and the implementation explained for two-dimensional Hubbard models where Slater determinants are employed as chosen basis. Our results with less than 400 chosen basis indicate good accuracy within the errorbar of the best available results as those of the quantum Monte Carlo for energy and other physical quantities.

本文言語English
ページ(範囲)2287-2299
ページ数13
ジャーナルjournal of the physical society of japan
70
8
DOI
出版ステータスPublished - 2001 8

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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