English

Lanczos steps to improve variational wave functions

Strongly Correlated Electrons 2015-10-12 v1

Abstract

Gutzwiller-projected fermionic states can be efficiently implemented within quantum Monte Carlo calculations to define extremely accurate variational wave functions for Heisenberg models on frustrated two-dimensional lattices, not only for the ground state but also for low-energy excitations. The application of few Lanczos steps on top of these states further improves their accuracy, allowing calculations on large clusters. In addition, by computing both the energy and its variance, it is possible to obtain reliable estimations of exact results. Here, we report the cases of the frustrated Heisenberg models on square and Kagome lattices.

Keywords

Cite

@article{arxiv.1412.2656,
  title  = {Lanczos steps to improve variational wave functions},
  author = {Federico Becca and Wen-Jun Hu and Yasir Iqbal and Alberto Parola and Didier Poilblanc and Sandro Sorella},
  journal= {arXiv preprint arXiv:1412.2656},
  year   = {2015}
}

Comments

7 pages, 6 figures. Conference proceeding paper for XXVI IUPAP Conference on Computational Physics, CCP2014

R2 v1 2026-06-22T07:23:56.492Z