Analytical study on holographic superfluid in AdS soliton background

Author(s)

Lai, Chuyu ^{[1, 2]} ; Pan, Qiyuan ^{[3, 1, 2]} ; Jing, Jiliang ^{[1, 2]} ; Wang, Yongjiu ^{[1, 2]}

Affiliation

^[1] Hunan Normal Univ, Minist Educ, Dept Phys, Key Lab Low Dimens Quantum Struct & Quantum Contr, Changsha 410081, Hunan - Peoples R China

^[2] Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Hunan - Peoples R China

^[3] Univ Sao Paulo, Inst Fis, CP 66318, BR-05315970 Sao Paulo - Brazil

• Document type: Journal article
• Source: Physics Letters B; v. 757, p. 65-72, JUN 10 2016.
• Web of Science Citations: 5

Abstract

We analytically study the holographic superfluid phase transition in the AdS soliton background by using the variational method for the Sturm Liouville eigenvalue problem. By investigating the holographic s-wave and p-wave superfluid models in the probe limit, we observe that the spatial component of the gauge field will hinder the phase transition. Moreover, we note that, different from the AdS black hole spacetime, in the AdS soliton background the holographic superfluid phase transition always belongs to the second order and the critical exponent of the system takes the mean-field value in both s-wave and p-wave models. Our analytical results are found to be in good agreement with the numerical findings. (C) 2016 The Authors. Published by Elsevier B.V. (AU)

• FAPESP's process: 13/26173-9 - Extending the nonlinear electrodynamics to the investigation in the gravity background
• Grantee: Qiyuan Pan
• Support Opportunities: Scholarships in Brazil - Post-Doctoral