2020/12/17 by Grigoris Panotopoulos
Physics and Astronomy · #Black Holes and Theoretical Physics #Computation #Cosmology and Gravitation Theories #Critical phenomena #Function (biology) #Holography #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Superconductivity #gr-qc #hep-th
paper · pdf · doi:10.1016/j.cjph.2020.11.023
published as Chinese J. Physics 69 (2021) 295 · References added
openalex publication_date 2020/12/17 · openalex created_date 2020/12/21 · arxiv created 2020/12/27 · arxiv updated 2021/01/08 · openalex updated_date 2026/08/05
In the framework of the gauge/gravity duality, and in particular of the AdS3/CFT2 correspondence, we study one-dimensional superconductors analyzing the dual (1+2)-dimensional gravity in the presence of the Einstein-power-Maxwell non-linear Electrodynamics. In the probe limit we compute the critical temperature of the transition as a function of the mass of the scalar field. The computation is performed analytically employing the Rayleigh-Ritz variational principle. The comparison with a power Maxwell field in higher dimensions as well as with the (1+3)-dimensional Einstein-Maxwell theory for two-dimensional superconductors is made as well.