期刊
NUCLEAR PHYSICS B
卷 892, 期 -, 页码 239-268出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysb.2015.01.017
关键词
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资金
- NSF [DMR-1360789]
- Templeton Foundation
- MURI from ARO [W911NF-14-1-0003]
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1360789] Funding Source: National Science Foundation
We present a semi-analytic method for constructing holographic black holes that interpolate from anti-de Sitter space to hyperscaling-violating geometries. These are holographic duals of conformal field theories in the presence of an applied chemical potential, mu at a non-zero temperature, T, and allow us to describe the crossover from 'strange metal' physics at T << mu, to conformal physics at T >> mu. Our holographic technique adds an extra gauge field and exploits structure of the Einstein-Maxwell system to manifestly find 1-parameter families of solutions of the Einstein-matter system in terms of a small family of functions, obeying a nested set of differential equations. Using these interpolating geometries, we re-consider holographically some recent questions of interest about hyperscaling-violating field theories. Our focus is a more detailed holographic computation of the conductivity of strange metals, weakly perturbed by disorder coupled to scalar operators, including both the average conductivity as well as sample-to-sample fluctuations. Our findings are consistent with previous scaling arguments, though we point out logarithmic corrections in some special (holographic) cases. We also discuss the nature of superconducting instabilities in hyperscaling-violating geometries with appropriate choices of scalar couplings. (C) 2015 The Authors. Published by Elsevier B.V.
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