Scaling of entanglement entropy across Lifshitz transitions
Abstract
We investigate the scaling of the bipartite entanglement entropy across Lifshitz quantum phase transitions, where the topology of the Fermi surface changes without any changes in symmetry. We present both numerical and analytical results which show that Lifshitz transitions are characterized by a well-defined set of critical exponents for the entanglement entropy near the phase transition. In one dimension, we show that the entanglement entropy exhibits a length scale that diverges as the system approaches a Lifshitz critical point. In two dimensions, the leading and sub-leading coefficients of the scaling of entanglement entropy show distinct power-law singularities at critical points. The effect of weak interactions is investigated using the density matrix renormalization group algorithm.
Keywords
Cite
@article{arxiv.1210.8403,
title = {Scaling of entanglement entropy across Lifshitz transitions},
author = {Marlon Rodney and H. Francis Song and Sung-Sik Lee and Karyn Le Hur and Erik Sorensen},
journal= {arXiv preprint arXiv:1210.8403},
year = {2013}
}
Comments
11 pages, 11 figures; v2) references added