Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-09-20
JHEP 1011:120,2010
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, 1 figure
Scientific paper
10.1007/JHEP11(2010)120
We investigate zero sound in $D$-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 $D=4$, where the specific heat is linear in the temperature and the quasi-particle excitation exists. We also calculate the AC conductivity in $D$-dimensions as a by-product.
Lee Bum-Hoon
Pang Da-Wei
Park Chanyong
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