1202.3555 (Shesansu Sekhar Pal)
Shesansu Sekhar Pal
We show for unit dynamical exponent, $z=1$, the appearance of the Fermi
liquid and non-Fermi liquid behavior as we tune the charge density and the
magnetic field in 3+1 dimensional field theory using the gauge-gravity duality.
There exists an upturn behavior of the resistivity only along the direction
perpendicular to the magnetic field. Also, there exists a universal behavior of
the resistivity, independent of the dimensionality of the spacetime, in a
specific corner of the parameter space, namely, in the large charge density and
small magnetic field limit: the longitudinal conductivity goes as $T^{-2/z}$,
whereas the Hall conductivity goes as $T^{-4/z}$. It means the Hall coefficient
goes as $T^{4/z}$. We compute the diffusion constant from the flow equation of
the conductivity.
View original:
http://arxiv.org/abs/1202.3555
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