Holographic insulator/superconductor phase transition by matching method and thermodynamic geometry
arXiv:2102.12763 · doi:10.1142/S0217751X21502493
Abstract
In this work, we have analytically analyzed the insulator/superconductor phase transition in the presence of a 5-dimensional soliton background using matching method and thermodynamic geometry approach. We have first employed the matching method to obtain the critical chemical potential. We then move on to investigate the free energy and thermodynamic geometry of this model in 3+1 dimensions. This investigation of the thermodynamic geometry leads to the critical chemical potential of the system from the condition of the divergence of the scalar curvature. We have then compared the value of the critical chemical potential in dimension obtained from these two different methods, namely, the matching method and the thermodynamic geometry procedure. We have also obtained an expression for the condensation operator using the matching method. Our findings agree very well with the numerical findings in the literature.
arXiv comment12 pages. arXiv admin note: text overlap with arXiv:1901.10538, arXiv:1607.05187
References in corpus (35)
- Gauge Theory Correlators from Non-Critical String Theory
- Large N Field Theories, String Theory and Gravity
- Building an AdS/CFT superconductor
- Holographic Superconductors
- Breaking an Abelian gauge symmetry near a black hole horizon
- The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
- Zero Temperature Limit of Holographic Superconductors
- Holographic Superconductors with Higher Curvature Corrections
- Holographic Superconductors with various condensates in Einstein-Gauss-Bonnet gravity
- Holographic Superconductor/Insulator Transition at Zero Temperature
- An Analytic Holographic Superconductor
- Holographic superconductors in the Born-Infeld electrodynamics
- Analytic calculation of properties of holographic superconductors
- Complete Phase Diagrams for a Holographic Superconductor/Insulator System
- Analytical study on holographic superconductors in external magnetic field
- Analytic study of properties of holographic superconductors in Born-Infeld electrodynamics
- Analytical Studies on Holographic Insulator/Superconductor Phase Transitions
- Holographic Superconductors with Power-Maxwell field
- Holographic Superconductors with Hořava-Lifshitz Black Holes
- Analytic study of Gauss-Bonnet holographic superconductors in Born-Infeld electrodynamics
- Analytical investigation of the phase transition between holographic insulator and superconductor in Gauss-Bonnet gravity
- Analytical Computation of Critical Exponents in Several Holographic Superconductors
- Holographic s-wave condensate with non-linear electrodynamics: A nontrivial boundary value problem
- Higher dimensional holographic superconductors in Born-Infeld electrodynamics with backreaction
- Striped phases in the holographic insulator/superconductor transition
- Analytical Studies on Holographic Superconductors in Gauss-Bonnet Gravity
- Holographic superconductors in Born-Infeld electrodynamics and external magnetic field
- Analytic study of properties of holographic superconductors away from the probe limit
- d-Wave holographic superconductors with backreaction in external magnetic fields
- The holographic superconductors in higher-dimensional AdS soliton
- Conductivity of holographic superconductors in Born-Infeld electrodynamics
- Thermodynamic geometry of holographic superconductors
- Non-linear effects on the holographic free energy and thermodynamic geometry
- Holographic free energy and thermodynamic geometry
- Holographic insulator/superconductor phase transition in higher dimensional Gauss-Bonnet gravity