1210.4560 (H. Lu et al.)

Exact Green's Function and Fermi Surfaces From Conformal Gravity    [PDF]

H. Lu, Zhao-Long Wang

We study the Dirac equation of a charged massless spinor on the general charged AdS black holes of conformal gravity. The equation can be solved exactly in terms of Heun's functions. We obtain the exact Green's function in the phase space (\omega,k). This allows us to obtain Fermi surfaces for both Fermi and non-Fermi liquids. Our analytic results provide a more elegant approach of studying some strongly interacting fermionic systems not only at zero temperature, but also at any finite temperature. We illustrate new distinguishing features arising at the finite temperature. The Green's function with vanishing \omega\ at finite temperature has a fascinating rich structure of spiked maxima in the plane of k and the fermion charge q.

View original: http://arxiv.org/abs/1210.4560