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 $z$ 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 $z$, 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 $z$ 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.

Some arguments add; Small errors corrected; Fig.9 replotted; Published in PRD

References in corpus (8)

• Building an AdS/CFT superconductor
• Non-relativistic holography
• Superconductivity of QCD vacuum in strong magnetic field
• A Holographic Superconductor in an External Magnetic Field
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Lifshitz Scaling Effects on Holographic Superconductors
• Holographic superconductors with $z=2$ Lifshitz scaling
• Towards Complete Phase Diagrams of a Holographic P-wave Superconductor Model

Cited by in corpus (10)

• Holographic p-wave superconductor models with Weyl corrections
• Lifshitz effects on holographic $p$-wave superfluid
• A holographic p-wave superfluid
• Analytical study on holographic superfluid in AdS soliton background
• Holographic paramagnetism-ferromagnetism phase transition with the nonlinear electrodynamics
• Lifshitz scaling effects on holographic paramagnetism/ferromagneism phase transition
• Magnetic-field effects on $p$-wave phase transition in Gauss-Bonnet gravity
• Revisiting holographic superconductors with hyperscaling violation
• Magnetic response of holographic Lifshitz superconductors:Vortex and Droplet solutions
• Holographic superconductor in hyperscaling violation geometry with Maxwell-dilaton coupling