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Twisted holographic superconductors in external magnetic field

Jovan Potrebić* and Dragoljub Gočanin†

  • *Contact author: jovan.potrebic@ff.bg.ac.rs
  • †Contact author: dragoljub.gocanin@ff.bg.ac.rs
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Phys. Rev. D 114, 026028 – Published 22 July, 2026

DOI: https://doi.org/10.1103/sw7p-pwnm

Abstract

Among the various applications of the AdS/CFT correspondence in condensed matter physics, the realization of the phase transition between the normal and superconducting phases in holographic quantum field theory is of particular importance. Following seminal papers on holographic superconductors that introduced the basic framework, one major line of development has focused on capturing the Meissner effect with all relevant parameters, which requires the 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 most accurately be characterized as a charged superfluid have been established. Using holographic setups to describe 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. In a broader context, our results represent the first systematic attempt to elucidate the role of noncommutative gauge field theory as part of the bulk description of condensed matter systems.

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Phys. Rev. D 114, 026028– Published 22 July, 2026
  • Received 19 March 2026
  • Accepted 29 June 2026
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