Spectral weight in Chern-Simons theory with symmetry breaking

Martin, Victoria L.; Monga, Nikhil

doi:10.1007/jhep10(2019)116

Cited by 3 publications

(7 citation statements)

References 27 publications

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“…Our results shed new light on the relation between charge densities in the boundary theory and in the bulk, various aspects of which have been explored in previous literature [36,43,[47][48][49][50][51][52][53][54]. In some of these works, semi-local geometries with z = +∞ were singled out as they allow for Fermi surface-like features in their spectral functions.…”

Section: Jhep11(2020)091 1 Introduction and Resultsmentioning

confidence: 77%

Non-vanishing zero-temperature normal density in holographic superfluids

Goutéraux¹,

Mefford²

2020

J. High Energ. Phys.

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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.

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Section: Jhep11(2020)091 1 Introduction and Resultsmentioning

confidence: 77%

Non-vanishing zero-temperature normal density in holographic superfluids

Goutéraux¹,

Mefford²

2020

J. High Energ. Phys.

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show abstract

“…For the third result, it has been shown more recently that these Fermi shells are more pervasive in holographic bottom-up calculations than was previously supposed [7], at least when considering η geometries. Fermi shells are known to appear in top-down constructions, for example in N = 4 supersymmetric Yang-Mills [15] and in ABJM theory [16].…”

Section: Introductionmentioning

confidence: 74%

“…Thus we can infer the presence or absense of a Fermi surface by considering IR data alone. A more comprehensive exposition of the two preceding paragraphs is given in the Introduction of [7] and in Appendix B. The spectral weight has been calculated in IR geometries in several holographic theories.…”

Section: Introductionmentioning

confidence: 99%

“…However, it was discovered that in the limit z → ∞ with the ratio η = −θ/z held fixed the geometry develops fermionic properties. That is, low-energy spectral weight exists in these so-called semi-local quantum liquid geometries (or η geometries for short) 1 for EMD in d = 4 [10] and d > 4 [7], the holographic superconductor [11,12], and the holographic superfluid with an additional Chern-Simons term [7]. The calculation of spectral weight in holographic superconductors [12] led to some intriguing results:…”

Section: Introductionmentioning

confidence: 99%

“…We investigate the issue of anomalous low-energy spectral weight in the presence of a condensate found in [12] by examining the effect of varying condensate charge and axion strength on the size of the Fermi surface, both separately and together. This should be regarded as a sister work to [7].…”

Section: Introductionmentioning

confidence: 99%

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Spectral weight in holography with momentum relaxation

Martin

2019

Preprint

Self Cite

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Holographic low-energy spectral weight at zero temperature and finite momenta indicates the presence of a strongly coupled remnant of Pauli exclusion. Building upon previous work, we study the spectral weight of a bottom-up holographic superfluid model with spontaneously broken translational symmetry. We determine the effect of this symmetry breaking on the previously known attributes of the holographic superconductor spectral weight: 1) an instability at finite momenta and 2) the presence of nested Fermi surfaces (sometimes called Fermi shells). We find that the symmetry breaking seems to strengthen the former and suppress the latter, in a way that we describe.

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Non-vanishing normal density in cold holographic superfluids

Goutéraux,

Mefford

2020

Preprint

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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 nonvanishing 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.

show abstract

Spectral weight in Chern-Simons theory with symmetry breaking

Cited by 3 publications

References 27 publications

Non-vanishing zero-temperature normal density in holographic superfluids

Non-vanishing zero-temperature normal density in holographic superfluids

Spectral weight in holography with momentum relaxation

Non-vanishing normal density in cold holographic superfluids

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