Charge transport in holography with momentum dissipation

By Blaise Goutéraux. 2014

251 citations recorded by the source corpus.

A bstractIn this work, we examine how charge is transported in a theory where momentum is relaxed by spatially dependent, massless scalars. We analyze the possible IR phases in terms of various scaling exponents and the (ir)relevance of operators in the IR effective holographic theory with a dilaton. We compute the (finite) resistivity and encounter broad families of (in)coherent metals and insulators, characterized by universal scaling behaviour. The optical conductivity at zero temperature and low frequencies exhibits power tails which can violate scaling symmetries, due to the running of the dilaton. At low temperatures, our model captures features of random-field disorder.

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

View Paper: https://www.semanticscholar.org/paper/7a65f2f5e8ae726b0df99f2972cde9845c12bbcf

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Citations in the corpus

Novel metals and insulators from holography (2014, background): “Results with some overlap with this paper appear in [48].”
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.”
Thermoelectric DC conductivities from black hole horizons (2014, background): “Similar results were obtained in [7, 8], using a different approach based on massive gravity, extending [9– 11].”
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): “The exponent nb1 is extremely similar to those found in [52, 68] in the case where k = 0.”
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).”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, background): “1) can easily be generalised to allow for IR geometries with other values of the dynamical exponent z and hyperscaling violating exponent θ [21, 41, 42].”
Holographic Quantum Matter (2016, methodology): “An expression analagous to (581) was found in very similar models by [215; 291].”
The thermoelectric properties of inhomogeneous holographic lattices (2014, background): “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.”