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Critical Entanglement for the Half-Filled Extended Hubbard Model

Authors :
Spalding, Jon
Tsai, Shan-Wen
Campbell, David K
Source :
Phys. Rev. B 99, 195445 (2019)
Publication Year :
2019

Abstract

We study the ground state of the one-dimensional extended Hubbard model at half-filling using the entanglement entropy calculated by Density Matrix Renormalization Group (DMRG) techniques. We apply a novel curve fitting and scaling method to accurately identify a $2^{nd}$ order critical point as well as a Berezinskii-Kosterlitz-Thouless (BKT) critical point. Using open boundary conditions and medium-sized lattices with very small truncation errors, we are able to achieve similar accuracy to previous authors. We also report observations of finite-size and boundary effects that can be remedied with careful pinning.<br />Comment: 10 pages, 12 figures

Details

Database :
arXiv
Journal :
Phys. Rev. B 99, 195445 (2019)
Publication Type :
Report
Accession number :
edsarx.1901.09151
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevB.99.195445