Spectral weight and spatially modulated instabilities in holographic superfluids

Abstract

Free fermions form a Fermi surface, which results in non-zero spectral weight at low energy and finite wavevector. In this work, we find similar features in holographic phases dual to strongly coupled quantum superfluid matter. At zero temperature, the phases we consider exhibit semi-local criticality in the IR and all the charge is carried by the scalar condensate outside the black hole horizon. Depending on the value taken by the IR critical exponents, we find Fermi surfaces in the transverse sector, Fermi shells in the longitudinal sector or no spectral weight at all. When there is non-zero transverse spectral weight, the IR can be subject to an instability at finite wavevector, the endpoint of which is likely a spatially modulated phase.

v2: references added and minor edits, published version

References in corpus (7)

• Building an AdS/CFT superconductor
• Effective Holographic Theories for low-temperature condensed matter systems
• Holographic superconductivity in M-Theory
• Superconductors from Superstrings
• Quantum critical lines in holographic phases with (un)broken symmetry
• Conductivities for Hyperscaling Violating Geometries
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Cited by in corpus (9)

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• Intertwined order and holography: the case of the parity breaking pair density wave
• Anomalous attenuation of plasmons in strange metals and holography
• Intertwined Orders in Holography: Pair and Charge Density Waves
• Non-vanishing normal density in cold holographic superfluids
• Holographic Fermi surfaces in charge density wave from D2-D8
• Holographic charge density wave from D2-D8
• "$1k_F$" Singularities and Finite Density ABJM Theory at Strong Coupling
• Spectral weight in Chern-Simons theory with symmetry breaking