In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
Holographic Superconductors with Higher Curvature Corrections
4 Pith papers cite this work. Polarity classification is still indexing.
abstract
We study (3+1)-dimensional holographic superconductors in Einstein-Gauss-Bonnet gravity both numerically and analytically. It is found that higher curvature corrections make condensation harder. We give an analytic proof of this result, and directly demonstrate an analytic approximation method that explains the qualitative features of superconductors as well as giving quantitatively good numerical results. We also calculate conductivity and $\omega_g / T_c $, for $\omega_g$ and $T_c$ the gap in the frequency dependent conductivity and the critical temperature respectively. It turns out that the `universal' behaviour of conductivity, $\omega_g / T_c \simeq 8$, is not stable to the higher curvature corrections. In the appendix, for completeness, we show our analytic method can also explain (2+1)-dimensional superconductors.
citation-role summary
citation-polarity summary
verdicts
UNVERDICTED 4roles
background 2polarities
background 2representative citing papers
Explicit planar AdS multi-NUT spacetimes are built via axionic scalars or quadratic gravity, plus planar Kaluza-Klein monopoles with varying magnetic charges.
Prior works on higher-derivative corrections to holographic superconductors may employ an incorrect AdS/CFT dictionary, so that the direction of change in spontaneous condensate depends on the specific model with no universal rule.
In holographic superconductors with Born-Infeld electrodynamics, excited states become gapless below a critical pressure while the ground state remains gapped, arising from nonlinear screening competing with spatial curvature.
citing papers explorer
-
Topological charge and black hole photon spheres in massive gravity
In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
-
Planar AdS multi-NUT spacetimes and Kaluza-Klein multi-monopoles
Explicit planar AdS multi-NUT spacetimes are built via axionic scalars or quadratic gravity, plus planar Kaluza-Klein monopoles with varying magnetic charges.
-
Comments on higher-derivative corrections in the AdS/CFT duality
Prior works on higher-derivative corrections to holographic superconductors may employ an incorrect AdS/CFT dictionary, so that the direction of change in spontaneous condensate depends on the specific model with no universal rule.
-
Criticality and Phase Structures of Excited Holographic Superconductors in Nonlinear Electrodynamics
In holographic superconductors with Born-Infeld electrodynamics, excited states become gapless below a critical pressure while the ground state remains gapped, arising from nonlinear screening competing with spatial curvature.