Year: 2014
Type: preprint
Abstract: We construct a series of charged dilatonic black holes which share zero entropy in the zero temperature limit using Einstein-Maxwell-Dilaton theories. In these black holes, the wave functions and the Green's functions of massless fermions can be solved exactly in terms of special functions in the phase space of $(ω,k)$. We observe that for sufficiently large charge, there are many poles in the Green's function with vanishing $ω$, which strongly signifies that Fermi surfaces exist in these holographic systems. The new distinguishing properties of the Green's function arising in these systems were illustrated with great details. We also study the poles motion of the Green's function for arbitrary (complex) frequency. Our analytic results provide a more realistic and elegant approach to study strongly correlated fermionic systems using gauge/gravity duality.
Source: arXiv (Cornell University)
Author: Fan, Zhong-Ying
Institution: Beijing Normal University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G2768482007, G5533587181, G8231447428
OpenAlex ID: W1924674538