Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity

By Norihiro Iizuka, N. Kundu, P. Narayan, S. Trivedi. 2011

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A bstractWe study the two-point function for fermionic operators in a class of strongly coupled systems using the gauge-gravity correspondence. The gravity description includes a gauge field and a dilaton which determines the gauge coupling and the potential energy. Extremal black brane solutions in this system typically have vanishing entropy. By analyzing a charged fermion in these extremal black brane backgrounds we calculate the two-point function of the corresponding boundary fermionic operator. We find that in some region of parameter space it is of Fermi liquid type. Outside this region no well-defined quasi-particles exist, with the excitations acquiring a non-vanishing width at zero frequency. At the transition, the two-point function can exhibit non-Fermi liquid behaviour.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a308ea7199563e76555caf3c87a35b839c56e811

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Citations in the corpus

Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2013, background): “Lifshitz geometries [12–14] together with hyperscaling violating geometries [15–19] as well as more general Bianchi type spacetimes [20] have occurred as effective IR geometries that could furnish as a groundstate geometry of some CM system.”
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Aspects of holography for theories with hyperscaling violation (2012, background): “[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21] (with very similar metrics also characterizing the “electron stars” studied in e.”
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On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes (2013, background): “Thus much interest has been focused on the study of the dilaton black holes in recent years[41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55].”
Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, methodology): “[25] to general d, we can deduce that such a solution will emerge from the equations of motion provided we choose the large behavior to obey Z( ) = Z 0 exp (↵ ) V ( ) = V 0 exp ( ) , as ! 1.”
Holographic Quantum Matter (2016, background): “Early papers that studied this class of theories as holographic models of compressible matter include [130; 289; 316; 406; 703].”
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Further evidence for lattice-induced scaling (2012, background): “In other words, is it possible that for some range of radii, a homogeneous approximation to our lattice geometry has a scaling symmetry such as the solutions in [30, 31]? Unfortunately, it is difficult to test this.”