Holographic charge density waves

“…Introducing a spatially modulated source, such as a periodic chemical potential, can be interpreted as modeling an underlying lattice [8][9][10][11][12][13][14][15][16][17] or disorder [18,19], while a single localized source represents a defect [20][21][22]. Linearly varying scalar fields cause the weakest breaking, yielding a homogeneous stress tensor and allowing a more tractable analysis [23][24][25][26][27][28][29][30][31].…”

mentioning

confidence: 99%

Holographic sliding stripes

2017

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Holographic models provide unique laboratories to investigate non-linear physics of transport in inhomogeneous systems. We provide a detailed account of both DC and AC conductivities in a defect CFT with spontaneous stripe order. The spatial symmetry is broken at large chemical potential and the resulting ground state is a combination of a spin and charge density wave. An infinitesimal applied electric field across the stripes will cause the stripes to slide over the underlying density of smeared impurities, a phenomenon which can be associated with the Goldstone mode for the spontaneously broken translation symmetry. We show that the presence of a spatially modulated background magnetization current thwarts the expression of some DC conductivities in terms of horizon data.Comment: 37 pages, 8 figures; v2: minor clarifications, published versio

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“…In addition, by turning on a higher-derivative interaction term between the U (1) gauge field and the scalar field, a spatially dependent profile of the scalar field is generated spontaneously which leads to the breaking of the Ward identity [18,19]. In a more general setup, gravitational models were discussed in which on the boundary spontaneous modulation of the electronic charge and spin density is generated by charge and spin density waves [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Lifshitz black branes and DC transport coefficients in massive Einstein-Maxwell-dilaton gravity

Kuang

Papantonopoulos

et al. 2018

Phys. Rev. D

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We construct analytical Lifshitz massive black brane solutions in massive Einstein-Maxwell-dilaton gravity theory. We also study the thermodynamics of these black brane solutions and obtain the thermodynamical stability conditions. On the dual nonrelativistic boundary field theory with Lifshitz symmetry, we analytically compute the DC transport coefficients, including the electric conductivity, thermoelectric conductivity, and thermal conductivity. The novel property of our model is that the massive term supports the Lifshitz black brane solutions with z ≠ 1 in such a way that the DC transport coefficients in the dual field theory are finite. We also find that the Wiedemann-Franz law in this dual boundary field theory is violated, which indicates that it may involve strong interactions.

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Holographic charge density waves

Cited by 26 publications

References 39 publications

Holographic Josephson Junctions

Holographic Josephson Junctions

Holographic sliding stripes

Lifshitz black branes and DC transport coefficients in massive Einstein-Maxwell-dilaton gravity

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