Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-03-09
JHEP 1105:032,2011
Physics
High Energy Physics
High Energy Physics - Theory
24 pages,17 figures, Add more discussions on hall conductivity, two new figures, Matched with published version
Scientific paper
10.1007/JHEP05(2011)032
A holographic model of $d+id$ 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 $d+id$ 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 $\gamma $ of the $d$ and $id$ condensations, the position and the size of the fermi arcs are changed. When $\gamma =1$, 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 $d+id$ superconductors where time reversal symmetry has been broken spontaneously. A non-vanishing Hall conductivity is obtained even without an external magnetic field.
Chen Jiunn-Wei
Liu Yu-Sheng
Maity Debaprasad
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