Effect of magnetic field on holographic insulator/superconductor phase transition in higher dimensional Gauss–Bonnet gravity

Autor: Diganta Parai, Debabrata Ghorai, Sunandan Gangopadhyay
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 80, Iss 3, Pp 1-9 (2020)
Druh dokumentu: article
ISSN: 1434-6044
1434-6052
DOI: 10.1140/epjc/s10052-020-7797-x
Popis: Abstract In this paper, we have investigated the effect of magnetic field numerically as well as analytically for holographic insulator/superconductor phase transition in higher dimensional Gauss–Bonnet gravity. First we have analysed the critical phenomena with magnetic field using two different numerical methods, namely, quasinormal modes method and the shooting method. Then we have carried out our calculation analytically using the Sturm–Liouville eigenvalue method. The methods show that marginally stable modes emerge at critical values of the chemical potential and the magnetic field satisfying the relation $$\Lambda ^2\equiv \mu ^2-B$$ Λ2≡μ2-B . We observe that the value of the chemical potential and hence the value of $$\Lambda $$ Λ increases with higher values of the Gauss–Bonnet parameter and dimension of spacetime for a fixed mass of the scalar field. This clearly indicates that the phase transition from insulator to superconductor becomes difficult in the presence of the magnetic field for higher values of the Gauss–Bonnet parameter and dimension of spacetime. Our analytic results are in very good agreement with our numerical results.
Databáze: Directory of Open Access Journals
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