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

Iizuka, Norihiro; Kundu, Nilay; Narayan, Prithvi; Trivedi, Sandip P.

doi:10.1007/jhep01(2012)094

Cited by 158 publications

(250 citation statements)

References 80 publications

(236 reference statements)

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“…These results agree with the electric branes discussed in [85]. On the other hand, if the magnetic charge is nonzero, it always dominates over the electric charge, yielding parameters…”

Section: Jhep10(2013)126supporting

confidence: 88%

Black branes in flux compactifications

Torroba

Wang

2013

J. High Energ. Phys.

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We construct charged black branes in type IIA flux compactifications that are dual to (2 + 1)-dimensional field theories at finite density. The internal space is a general Calabi-Yau manifold with fluxes, with internal dimensions much smaller than the AdS radius. Gauge fields descend from the 3-form RR potential evaluated on harmonic forms of the Calabi-Yau, and Kaluza-Klein modes decouple. Black branes are described by a four-dimensional effective field theory that includes only a few light fields and is valid over a parametrically large range of scales. This effective theory determines the low energy dynamics, stability and thermodynamic properties. Tools from flux compactifications are also used to construct holographic CFTs with no relevant scalar operators, that can lead to symmetric phases of condensed matter systems stable to very low temperatures. The general formalism is illustrated with simple examples such as toroidal compactifications and manifolds with a single size modulus. We initiate the classification of holographic phases of matter described by flux compactifications, which include generalized Reissner-Nordstrom branes, nonsupersymmetric AdS 2 × R 2 and hyperscaling violating solutions.

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“…These results agree with the electric branes discussed in [85]. On the other hand, if the magnetic charge is nonzero, it always dominates over the electric charge, yielding parameters…”

Section: Jhep10(2013)126supporting

confidence: 88%

Black branes in flux compactifications

Torroba

Wang

2013

J. High Energ. Phys.

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“…The challenge for the future is to describe the phases of Sections V and VI using the dual gravity theory, in a manner which captures their expected properties of finite-range models in d = 2 and d = 3 respectively, and there have been recent studies in this direction [10,[12][13][14][15][16][17][18]20]. In particular, the d = 3 model of Gubser and Rocha [10] is a promising model for future study.…”

Section: Discussionmentioning

confidence: 99%

“…Thus the superfluid condensate has charge Q = 4. The condensate cannot carry a net SU(2) gauge charge [63], and so we should have 20) which is realized in mean field theory by a real ∆ 1 . Actually the restriction is on total gauge charge neutrality, including the contributions of the fermions.…”

Section: A Phase Diagrammentioning

confidence: 99%

Fermi surfaces and gauge-gravity duality

2011

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“…We follow the notation of [43] and [32] except for the assignment of γ µ (this difference is necessary to see the diagonalization as for fermion components, see below). The notation for the indices are: M = 0, 1, 2, z, and µ = 0, 1, 2.…”

Section: A Bulk Fermion Eigen-statesmentioning

confidence: 99%

A comment on holographic Luttinger theorem

Hashimoto

Iizuka

2012

J. High Energ. Phys.

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Robustness of the Luttinger theorem for fermionic liquids is examined in holography. The statement of the Luttinger theorem, the equality between the fermion charge density and the volume enclosed by the Fermi surface, can be mapped to a Gauss's law in the gravity dual, a la Sachdev. We show that various deformations in the gravity dual, such as inclusion of magnetic fields, a parity-violating θ-term, dilatonic deformations, and higher-derivative corrections, do not violate the holographic derivation of the Luttinger theorem, as long as the theory is in a confining phase. Therefore a robustness of the theorem is found for strongly correlated fermions coupled with strongly coupled sectors which admit gravity duals. On the other hand, in the deconfined phase, we also show that the deficit appearing in the Luttinger theorem is again universal. It measures a total deficit which measures the charge of the deconfined ("fractionalized") fermions, independent of the deformation parameters.

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

Cited by 158 publications

References 80 publications

Black branes in flux compactifications

Black branes in flux compactifications

Fermi surfaces and gauge-gravity duality

A comment on holographic Luttinger theorem

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