Lifshitz Effects on Vector Condensate Induced by a Magnetic Field
Abstract
By numerical and analytical methods, we study in detail the effects of the Lifshitz dynamical exponent on the vector condensate induced by an applied magnetic field in the probe limit. Concretely, in the presence of the magnetic field, we obtain the Landau level independent of , and also find the critical value by coupling a Maxwell complex vector field and SU(2) field into a (3+1)-dimensional Lifshitz black hole, respectively. The research results show that for both two models with the lowest Landau level, the increasing improves the response of the critical temperature to the applied magnetic field even without the charge density, and the analytical results uphold the numerical results. In addition, we find even in the Lifshitz black hole, the Maxwell complex vector model is still a generalization of the SU(2) Yang-Mills model. Furthermore, we construct the square vortex lattice and discuss the implications of these results.
Keywords
Cite
@article{arxiv.1403.5649,
title = {Lifshitz Effects on Vector Condensate Induced by a Magnetic Field},
author = {Ya-Bo Wu and Jun-Wang Lu and Mo-Lin Liu and Jian-Bo Lu and Cheng-Yuan Zhang and Zhuo-Qun Yang},
journal= {arXiv preprint arXiv:1403.5649},
year = {2014}
}
Comments
Some arguments add; Small errors corrected; Fig.9 replotted; Published in PRD