Parity effects in the scaling of block entanglement in gapless spin chains
Statistical Mechanics
2014-11-20 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Quantum Physics
Abstract
We consider the Renyi alpha-entropies for Luttinger liquids (LL). For large block lengths l these are known to grow like ln l. We show that there are subleading terms that oscillate with frequency 2k_F (the Fermi wave number of the LL) and exhibit a universal power-law decay with l. The new critical exponent is equal to K/(2 alpha), where K is the LL parameter. We present numerical results for the anisotropic XXZ model and the full analytic solution for the free fermion (XX) point.
Keywords
Cite
@article{arxiv.0911.4660,
title = {Parity effects in the scaling of block entanglement in gapless spin chains},
author = {Pasquale Calabrese and Massimo Campostrini and Fabian Essler and Bernard Nienhuis},
journal= {arXiv preprint arXiv:0911.4660},
year = {2014}
}
Comments
4 pages, 5 figures. Final version accepted in PRL