Holographic lattice in Einstein-Maxwell-dilaton gravity

By Yi Ling, Chao Niu, Jian-Pin Wu, Zhuo-Yu Xian. 2013

135 citations recorded by the source corpus.

A bstractWe construct an ionic lattice background in the framework of Einstein-Maxwell-dilaton theory in four dimensional space time. The optical conductivity of the dual field theory on the boundary is investigated. Due to the lattice effects, we find the imaginary part of the conductivity is manifestly suppressed in the zero frequency limit, while the DC conductivity approaches a finite value such that the previous delta function reflecting the translation symmetry is absent. Such a behavior can be exactly fit by the Drude law at low frequency. Moreover, we find that the modulus of the optical conductivity exhibits a power-law behavior at intermediate frequency regime. Our results provides further support for the universality of such power-law behavior recently disclosed in Einstein-Maxwell theory by Horowitz, Santos and Tong.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3a67346c380fccd78881bc894e688f6e9ff5e636

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

Momentum dissipation and effective theories of coherent and incoherent transport (2014, result): “When translational symmetry is weakly broken at low energies, momentum is almost-conserved, and the AC conductivities of various holographic models like this have been shown to display Drude-like peaks in agreement with memory matrix predictions [5–15].”
Numerical methods for finding stationary gravitational solutions (2015, methodology): “[244] Y.”
Holographic Quantum Matter (2016, background): “A minimal way to do this is allow an inhomogeneous chemical potential of the form [391; 508]”
Thermoelectric DC conductivities from black hole horizons (2014, background): “This is a significant technical simplification since the black holes can be constructed by solving ODEs instead of PDEs2 as in the constructions [15, 18–22].”
Holographic Q-lattices (2013, background): “where B,C are frequency independent constants, and furthermore, the same behaviour was also seen for other lattices and other spacetime dimensions in [2, 3, 5].”
A simple holographic model of momentum relaxation (2013, methodology): “Spatially dependent sources have been utilised to construct holographic lattices [2, 3, 4, 5, 6, 7] which exhibit finite DC conductivity, in agreement with ionic lattice computations of [8].”
Holographic metals and insulators with helical symmetry (2014, background): “A first line of research introduced a holographic lattice imprinted by boundary conditions on the bulk charge contribution, [20]–[24].”
The thermoelectric properties of inhomogeneous holographic lattices (2014, unknown): “This can be achieved by considering “holographic lattice” black holes where one explicitly breaks the translation invariance using UV deformations [4–13].”