Novel metals and insulators from holography

By Aristomenis Donos, J. Gauntlett. Journal of High Energy Physics, 2014

259 citations recorded by the source corpus.

Using simple holographic models in D = 4 spacetime dimensions we construct black hole solutions dual to d = 3 CFTs at finite charge density with a Q-lattice deformation. At zero temperature we find new ground state solutions, associated with broken translation invariance in either one or both spatial directions, which exhibit insulating or metallic behaviour depending on the parameters of the holographic theory. For low temperatures and small frequencies, the real part of the optical conductivity exhibits a power-law behaviour. We also obtain an expression for the the DC conductivity at finite temperature in terms of horizon data of the black hole solutions.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ef751867616bab1465fb3cff0a063655481f9551

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Citations in the corpus

Dissecting holographic conductivities (2015, background): “In theories where there is a neutral scalar which can run logarithmically in the interior of the geometry [16, 17, 19], we would expect that the temperature scalings of the coherent and incoherent contributions to the conductivities can be different from one another.”
Holographic Q-lattices (2013, background): “We expect that within this more general class of models it will be possible to obtain the many novel IR ground states in explicit form [23].”
Holographic Quantum Matter (2016, methodology): “An expression analagous to (581) was found in very similar models by [215; 291].”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, methodology): “The DC conductivities of the two charges have been investigated in holographic systems of this type [11, 15, 17–27] but, as we have demonstrated, this is not sufficient to infer the nature (i.”
Charge transport in holography with momentum dissipation (2014, background): “s. { 22 { have IR marginally relevant axions and nite zbackgrounds, seem to resonate with the interpretation that our massless scalars capture random disorder physics at low temperatures. Note added: [29] appeared simultaneously where a subset of class II solutions as well as anisotropic phases anal”
Universal diffusion in incoherent black holes (2016, background): “Since the scalar potential is unbounded, then this action can be used to construct solutions where the size of the lattice diverges φ → ∞ in the infra-red [22, 23].”
Holographic metals and insulators with helical symmetry (2014, methodology): “This has been exploited in [51, 52] in the context of EMD theories to provide a large class of IR solutions which exhibit varying characteristics when it comes to conductivity (which, as the action is linear in the gauge field kinetic term F 2, have a form similar to (1.”
Theory of universal incoherent metallic transport (2014, background): “Incoherent metals have only very recently been found in holographic theories [66, 67].”
The thermoelectric properties of inhomogeneous holographic lattices (2014, methodology): “On the other hand, if one approaches a ground state which breaks translations, as in [12, 20], then the memory matrix formalism cannot be used and so our analytic results provide a particularly powerful tool to study the properties of these novel holographic ground states.”
Thermoelectric DC conductivities from black hole horizons (2014, methodology): “Very recently the methods of [6] were used to obtain the electrical DC conductivity in the presence of a magnetic field in [13].”
Solid holography and massive gravity (2015, background): “We shall not deepen much more into the nature of this disorder in this work (for the role that holographic version of disorder can play in various contexts, see [28–44] and references therein).”