https://doi.org/10.1140/epjc/s10052-016-3980-5
Regular Article - Theoretical Physics
Revisiting holographic superconductors with hyperscaling violation
1
Instituto de Física, Universidade de São Paulo, C.P. 66318, 05315-970, São Paulo, Brazil
2
Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, Hunan, 410081, China
3
State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China
* e-mail: panqiyuan@126.com
Received:
3
December
2015
Accepted:
18
February
2016
Published online:
7
March
2016
We investigate the effect of the hyperscaling violation on the holographic superconductors. In the s-wave model, we find that the critical temperature decreases first and then increases as the hyperscaling violation increases, and the mass of the scalar field will not modify the value of the hyperscaling violation which gives the minimum critical temperature. We analytically confirm the numerical results by using the Sturm–Liouville method with the higher order trial function and improve the previous findings in Fan (J High Energy Phys 09:048, 2013). However, different from the s-wave case, we note that the critical temperature decreases with the increase of the hyperscaling violation in the p-wave model. In addition, we observe that the hyperscaling violation affects the conductivity of the holographic superconductors and changes the expected relation in the gap frequency in both s-wave and p-wave models.
© The Author(s), 2016
