Lifshitz Scaling Effects on Holographic Superconductors

Understand

Via numerical and analytical methods, the effects of the Lifshitz dynamical exponent $z$ on holographic superconductors are studied in some detail, including $s$ wave and $p$ wave models.

• Working in the probe limit, we find that the behaviors of holographic models indeed depend on concrete value of $z$.
• We obtain the condensation and conductivity in both Lifshitz black hole and soliton backgrounds with general $z$.
• For both $s$ wave and $p$ wave models in the black hole backgrounds, as $z$ increases, the phase transition becomes more difficult and the growth of conductivity is suppressed.