One-dimensional backreacting holographic p-wave superconductors

Autor: Mahya Mohammadi, Ahmad Sheykhi, Mahdi Kord Zangeneh
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 78, Iss 12, Pp 1-8 (2018)
Druh dokumentu: article
ISSN: 1434-6044
1434-6052
DOI: 10.1140/epjc/s10052-018-6473-x
Popis: Abstract We analytically and numerically study the properties of one-dimensional holographic p-wave superconductors in the presence of backreaction. We employ the Sturm–Liouville eigenvalue problem for the analytical calculation and the shooting method for the numerical investigations. We apply the $$\hbox {AdS}_{{3}}$$ AdS3 /$$\hbox {CFT}_{{2}}$$ CFT2 correspondence and determine the relation between the critical temperature $$T_{c}$$ Tc and the chemical potential $$\mu $$ μ for different values of the mass m of a charged spin-1 field $$\rho _{\mu }$$ ρμ and backreacting parameters. We observe that the data of both analytical and numerical studies are in good agreement. We find that increasing the backreaction and the mass parameter causes the greater values for $${T_{c}}/{\mu }$$ Tc/μ . Thus, it makes the condensation harder to form. In addition, the analytical and numerical approaches show that the value of the critical exponent $$ \beta $$ β is 1 / 2, which is the same as in the mean field theory. Moreover, both methods confirm the existence of a second order phase transition.
Databáze: Directory of Open Access Journals
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