Improved multi-variable variational Monte Carlo method examined by high-precision calculations of one-dimensional Hubbard model

Ryui Kaneko, Satoshi Morita, Masatoshi Imada

研究成果: Conference article

5 被引用数 (Scopus)

抄録

We revisit the accuracy of the variational Monte Carlo (VMC) method by taking an example of ground state properties for the one-dimensional Hubbard model. We start from the variational wave functions with the Gutzwiller and long-range Jastrow factor introduced by Capello et al. [Phys. Rev. B 72, 085121 (2005)] and further improve it by considering several quantum-number projections and a generalized one-body wave function. We find that the quantum spin projection and total momentum projection greatly improve the accuracy of the ground state energy within 0.5% error, for both small and large systems at half filling. Besides, the momentum distribution function n(k) at quarter filling calculated up to 196 sites allows us direct estimate of the critical exponents of the charge correlations from the power-law behavior of n(k) near the Fermi wave vector. Estimated critical exponents well reproduce those predicted by the Tomonaga-Luttinger theory.

本文言語English
論文番号012046
ジャーナルJournal of Physics: Conference Series
454
1
DOI
出版ステータスPublished - 2013 1 1
外部発表はい
イベント24th IUPAP Conference on Computational Physics, IUPAP-CCP 2012 - Kobe, Japan
継続期間: 2012 10 142012 10 18

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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