Optical conductivity with holographic lattices

Abstract

We add a gravitational background lattice to the simplest holographic model of matter at finite density and calculate the optical conductivity. With the lattice, the zero frequency delta function found in previous calculations (resulting from translation invariance) is broadened and the DC conductivity is finite. The optical conductivity exhibits a Drude peak with a cross-over to power-law behavior at higher frequencies. Surprisingly, these results bear a strong resemblance to the properties of some of the cuprates.

Momentum relaxation from the fluid/gravity correspondence

“…In particular, although we expect broadly similar results, the correspondence should be developed for 3+1 dimensional bulk actions [34]. It would also be particularly interesting to consider more general, in particular inhomogeneous [4,5,10,35], sources for the scalars and understand how the resulting hydrodynamics differs from that presented here.…”

“…Motivated by this goal, there has recently been a large amount of progress in calculating the transport properties of holographic models with broken translational invariance [4][5][6][7][8][9][10][11][12][13]. In particular, for a large class of theories it is now possible to obtain analytic expressions for all the DC conductivities in terms of horizon data [9,10,[14][15][16][17][18].…”

Magnetotransport from the fluid/gravity correspondence

“…More generally, we need to supplement (2.5) with corrections that can be calculated by solving the Einstein-Maxwell-Dilaton equations order by order in a derivative expansion. After determining these corrections, the expectation 1 Note that boundary indices on, for instance, the fluid velocity u µ are raised and lowered with the Minkowski metric η µν .…”

“…By finding ways to incorporate momentum relaxation into these models [1][2][3][4][5][6][7] rapid progress has been made in understanding their DC [8][9][10][11][12][13][14], and low-frequency [15][16][17][18][19] response coefficients.…”

Holographic RG flows with nematic IR phases

“…In fact, the breaking of translational invariance (as a way to incorporate lattice effects) has been recognized as a crucial ingredient for achieving a more realistic description of the conductive behavior of strongly correlated electron systems (see e.g. [1][2][3][4][5][6][7][8]). …”