https://doi.org/10.1140/epjc/s10052-018-6473-x
Regular Article - Theoretical Physics
One-dimensional backreacting holographic p-wave superconductors
1
Physics Department and Biruni Observatory, Shiraz University, Shiraz, 71454, Iran
2
Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P. O. Box: 55134-441, Maragha, Iran
3
Physics Department, Faculty of Science, Shahid Chamran University of Ahvaz, Ahvaz, 61357-43135, Iran
* e-mail: asheykhi@shirazu.ac.ir
Received:
14
November
2018
Accepted:
20
November
2018
Published online:
29
November
2018
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 
/
correspondence and determine the relation between the critical temperature 
and the chemical potential 
for different values of the mass m of a charged spin-1 field 
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 
. Thus, it makes the condensation harder to form. In addition, the analytical and numerical approaches show that the value of the critical exponent 
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.
© The Author(s), 2018
