Holographic Superconductors
arXiv:1103.1714 · doi:10.1007/JHEP05(2011)032
Abstract
A holographic model of superconductors based on the action proposed by Benini, Herzog, and Yarom [arXiv:1006.0731] is studied. This model has a charged spin two field in an AdS black hole spacetime. Working in the probe limit, the normalizable solution of the spin two field in the bulk gives rise to a superconducting order parameter at the boundary of the AdS. We calculate the fermion spectral function in this\ superconducting background and confirm the existence of fermi arcs for non-vanishing Majorana couplings. By changing the relative strength of the and condensations, the position and the size of the fermi arcs are changed. When , the spectrum becomes isotropic and the spectral function is s-wave like. By changing the fermion mass, the fermi momentum is changed. We also calculate the conductivity for these holographic superconductors where time reversal symmetry has been broken spontaneously. A non-vanishing Hall conductivity is obtained even without an external magnetic field.
24 pages,17 figures, Add more discussions on hall conductivity, two new figures, Matched with published version
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- A Holographic Chiral p_x + ip_y Superconductor
- A Holographic Model of Two-Band Superconductor
- Magnetic field in holographic superconductor with dark matter sector
- Competition between s-wave order and d-wave order in holographic superconductors
- Charge density wave instability in holographic d-wave superconductor
- Vortex and droplet in holographic D-wave superconductors
- Flow Equation and Fermion Gap in the Holographic Superconductors
- Holographic P-wave Superconductors in 1+1 Dimensions
- Holographic Entanglement Entropy and Complexity for D-Wave Superconductors
- Engineering Holographic Superconductor Phase Diagrams