#### Document Type

Article

#### Publication Date

2012

#### Abstract

A bstract Using gauge/gravity duality, we analytically calculate properties of a strongly coupled striped superconductor, with the charge density wave sourced by a modulated chemical potential, in the large modulation wavenumber Q limit. In the absence of a homogeneous term in the chemical potential, we show that the critical temperature scales as a negative power of Q for scaling dimensions \Delta < \frac{3}{2} , whereas for \Delta > \frac{3}{2} , there is no phase transition above a certain critical value of Q . The condensate is found to scale as a positive power of Q such that the gap is proportional to Q . We discuss how these results change if a homogeneous term is added to the chemical potential. We compare our analytic results with numerical calculations whenever the latter are available and find good agreement.

#### Digital Commons Citation

Hutasoit, Jimmy A.; Ganguli, Suman; Siopsis, George; and Therrien, Jason, "Strongly coupled striped superconductor with large modulation" (2012). *Faculty Scholarship*. 351.

https://researchrepository.wvu.edu/faculty_publications/351

#### Source Citation

Hutasoit, Jimmy A., Ganguli, Suman., Siopsis, George., & Therrien, Jason. (2012). Strongly Coupled Striped Superconductor With Large Modulation. Journal of High Energy Physics, 2012(2). http://doi.org/10.1007/JHEP02(2012)086