English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

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

Improved Multi-Variable Variational Monte Carlo Method Examined by High-Precision Calculations of One-Dimensional Hubbard Model