Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
Statistical Mechanics
2007-05-23 v2 Nuclear Theory
Quantum Physics
Abstract
We study the ground state properties of the critical Lipkin-Meshkov-Glick model. Using the Holstein-Primakoff boson representation, and the continuous unitary transformation technique, we compute explicitly the finite-size scaling exponents for the energy gap, the ground state energy, the magnetization, and the spin-spin correlation functions. Finally, we discuss the behavior of the two-spin entanglement in the vicinity of the phase transition.
Keywords
Cite
@article{arxiv.cond-mat/0408624,
title = {Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model},
author = {S. Dusuel and J. Vidal},
journal= {arXiv preprint arXiv:cond-mat/0408624},
year = {2007}
}
Comments
4 pages, published version