paper

Zero Sound in Effective Holographic Theories

arXiv:1009.3966 · doi:10.1007/JHEP11(2010)120

Abstract

We investigate zero sound in -dimensional effective holographic theories, whose action is given by Einstein-Maxwell-Dilaton terms. The bulk spacetimes include both zero temperature backgrounds with anisotropic scaling symmetry and their near-extremal counterparts obtained in 1006.2124 [hep-th], while the massless charge carriers are described by probe D-branes. We discuss thermodynamics of the probe D-branes analytically. In particular, we clarify the conditions under which the specific heat is linear in the temperature, which is a characteristic feature of Fermi liquids. We also compute the retarded Green's functions in the limit of low frequency and low momentum and find quasi-particle excitations in certain regime of the parameters. The retarded Green's functions are plotted at specific values of parameters in , where the specific heat is linear in the temperature and the quasi-particle excitation exists. We also calculate the AC conductivity in -dimensions as a by-product.

29 pages, 1 figure

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