Non-vanishing zero-temperature normal density in holographic superfluids

Autor: Eric Mefford, Blaise Goutéraux
Přispěvatelé: Centre de Physique Théorique [Palaiseau] (CPHT), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Nuclear and High Energy Physics
Photon
expansion: derivative
AdS-CFT Correspondence
01 natural sciences
Gauge-gravity correspondence
Superfluidity
model: hydrodynamics
Quantum critical point
Quantum mechanics
0103 physical sciences
Effective field theory
transport theory
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
010306 general physics
temperature dependence
Superconductivity
Physics
010308 nuclear & particles physics
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
Computer Science::Information Retrieval
superfluid: density
Charge density
critical phenomena
duality: holography
[PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph]
Holography and condensed matter physics (AdS/CMT)
AdS/CFT correspondence
charge: density
[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph]
Lifshitz
lcsh:QC770-798
Critical exponent
Zdroj: Journal of High Energy Physics
Journal of High Energy Physics, Springer, 2020, 11, pp.091. ⟨10.1007/JHEP11(2020)091⟩
Journal of High Energy Physics, Vol 2020, Iss 11, Pp 1-51 (2020)
ISSN: 1126-6708
1029-8479
DOI: 10.1007/JHEP11(2020)091⟩
Popis: The low energy and finite temperature excitations of a d + 1-dimensional system exhibiting superfluidity are well described by a hydrodynamic model with two fluid flows: a normal flow and a superfluid flow. In the vicinity of a quantum critical point, thermodynamics and transport in the system are expected to be controlled by the critical exponents and by the spectrum of irrelevant deformations away from the quantum critical point. Here, using gauge-gravity duality, we present the low temperature dependence of thermodynamic and charge transport coefficients at first order in the hydrodynamic derivative expansion in terms of the critical exponents. Special attention will be paid to the behavior of the charge density of the normal flow in systems with emergent infrared conformal and Lifshitz symmetries, parameterized by a Lifshitz dynamical exponent z > 1. When 1 ≤ z < d + 2, we recover (z = 1) and extend (z > 1) previous results obtained by relativistic effective field theory techniques. Instead, when z > d + 2, we show that the normal charge density becomes non-vanishing at zero temperature. An extended appendix generalizes these results to systems that violate hyperscaling as well as systems with generalized photon masses. Our results clarify previous work in the holographic literature and have relevance to recent experimental measurements of the superfluid density on cuprate superconductors.
Databáze: OpenAIRE
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