Helical superconducting black holes

TL;DR

This paper constructs new holographic black hole solutions with helical order, revealing insights into superconducting phases with non-isotropic, scaling ground states and detailed temperature-dependent properties.

Contribution

It introduces novel asymptotically AdS_5 black holes with Bianchi VII_0 symmetry that model helical p-wave superconductors holographically.

Findings

Black holes exhibit zero entropy at zero temperature.

The pitch of helical order depends precisely on temperature.

Ground states show emergent scaling symmetry.

Abstract

We construct novel static, asymptotically $AdS_5$ black hole solutions with Bianchi VII$_0$ symmetry that are holographically dual to superconducting phases in four spacetime dimensions with a helical p-wave order. We calculate the precise temperature dependence of the pitch of the helical order. At zero temperature the black holes have vanishing entropy and approach domain wall solutions that reveal homogenous, non-isotropic dual ground states with emergent scaling symmetry.