Multicriticality and entanglement in the one-dimensional quantum compass model
Strongly Correlated Electrons
2009-06-29 v3 Statistical Mechanics
Abstract
We study the one-dimensional (1D) quantum compass model with two independent parameters by means of an exact mapping to the quantum Ising model. This allows us to uncover hidden features of the quantum phase transition in the ordinary one-parameter quantum compass model, showing that it occurs at a multicritical point where a line of first-order transitions intersects a line of second-order symmetry-breaking transitions of Ising type. We calculate the concurrence and the block entanglement entropy in the four ground state phases, and find that these entanglement measures accurately signal the second-order, but not the first-order, transitions.
Cite
@article{arxiv.0903.1682,
title = {Multicriticality and entanglement in the one-dimensional quantum compass model},
author = {Erik Eriksson and Henrik Johannesson},
journal= {arXiv preprint arXiv:0903.1682},
year = {2009}
}
Comments
6 pages, 2 figures; published version