Vortices in a rotating holographic superfluid with Lifshitz scaling

TL;DR

This paper extends the study of rotating holographic superfluids to include Lifshitz scaling, revealing that dissipation increases with higher winding vortices and imaginary chemical potential when Lifshitz exponent z is between 1 and 2.

Contribution

It analytically demonstrates the persistence of vortex solutions under Lifshitz scaling and uncovers increased dissipation in the superfluid for z in (1, 2).

Findings

Vortex solutions remain unchanged with Lifshitz scaling.

Dissipation increases with higher winding vortices for z in (1, 2).

Higher imaginary chemical potential amplifies dissipation in the superfluid.

Abstract

We have extended our previous work [1] on rotating holographic superfluids to include Lifshitz scaling. Presence of this scaling breaks relativistic invariance of the boundary superfluid system and indicates the existence of a Lifshitz fixed point [2]. We have analytically shown that we still get same vortex solutions as discovered earlier in [1]. We have recovered previous results for the case of z = 1, which restores the relativistic invariance in the holographic superfluid system. However, for z $\neq$ 1 this study indicate surprising results regarding dissipation in such a holographic superfluid. We found that higher winding number vortices increase with higher values of imaginary chemical potential for values of z in the open interval (1, 2). This result is remarkable because it asserts that dissipation in the rotating holographic superfluid increases in the presence of Lifshitz scaling.