Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-08-31
Phys.Rev.D84:064008,2011
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, 5 figures, accepted by PRD
Scientific paper
10.1103/PhysRevD.84.064008
We study the properties of the Green's functions of the fermions in the extremal charged dilatonic black hole proposed by Gubser and Rocha [Phys. Rev. D \textbf{81}, 046001 (2010)]. We find that many properties seem to be in agreement with that of Fermi liquid. Especially, the dispersion relation is linear. It is very different from that found in the extremal Reissner-Nordstr$\ddot{o}$m (RN) black hole for massless fermion, which is obviously non-Fermi liquid due to a nonlinear dispersion relation. However, for another scaling behavior of the height of $ImG_{11}$ at the maximum, the scaling exponent is not one, which is at odds with that found in the RN black hole.
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