Twisted Holographic Superconductors in External Magnetic Field

TL;DR

This paper explores how noncommutative twist deformations in holographic models influence phase transition parameters like critical magnetic field and condensate in superconductors, advancing understanding of noncommutative gauge theories in condensed matter physics.

Contribution

It introduces a systematic study of noncommutative effects on holographic superconductors, linking noncommutative gauge theories to condensed matter phase transitions.

Findings

Noncommutative deformation affects critical magnetic field values.

Condensate behavior is modified by noncommutative parameters.

First systematic analysis of noncommutative gauge fields in holographic superconductors.

Abstract

Among various applications of the AdS/CFT correspondence in condensed matter physics of particular importance is the realization of the phase transition between the normal and superconducting phase in a holographic QFT. After seminal papers on holographic superconductors that introduced the basic setup, one of the main lines of development focused on capturing the Meissner effect with all the relevant parameters, which requires inclusion of an external magnetic field. Although a complete holographic description of a superconductor is still lacking, the basic elements of the gravitational systems dual to what can be most accurately characterized as a charged superfluid have been established. Using holographic setups for describing three- and four-dimensional superconductors, we investigate the effect of noncommutative twist deformation of bulk fields on the phase transition parameters, such as the critical magnetic field and condensate. In a wider context, our results represent a first systematic attempt to elucidate the role of noncommutative gauge field theory as part of the bulk description of condensed matter systems.