Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 4, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP04(2010)120
Keywords
AdS-CFT Correspondence; Space-Time Symmetries
Categories
Funding
- NSF [PHY-0244728, PHY05-51164]
- DOE [DE-AC03-76SF00515, DE-FG02-91ER40654]
- BSF
- FQXi foundation
- Royal Society
- STFC [ST/G000581/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/G000581/1] Funding Source: researchfish
- Division Of Physics
- Direct For Mathematical & Physical Scien [757035] Funding Source: National Science Foundation
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We initiate a holographic model building approach to 'strange metallic' phenomenology. Our model couples a neutral Lifshitz-invariant quantum critical theory, dual to a bulk gravitational background, to a finite density of gapped probe charge carriers, dually described by D-branes. In the physical regime of temperature much lower than the charge density and gap, we exhibit anomalous scalings of the temperature and frequency dependent conductivity. Choosing the dynamical critical exponent z appropriately we can match the non-Fermi liquid scalings, such as linear resistivity, observed in strange metal regimes. As part of our investigation we outline three distinct string theory realizations of Lifshitz geometries: from F theory, from polarised branes, and from a gravitating charged Fermi gas. We also identify general features of renormalisation group flow in Lifshitz theories, such as the appearance of relevant charge-charge interactions when z >= 2. We outline a program to extend this model building approach to other anomalous observables of interest such as the Hall conductivity.
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