Absence of power-law mid-infrared conductivity in gravitational crystals

Langley, Brandon; Vanacore, Garrett; Phillips, Philip

doi:10.1007/jhep10(2015)163

Cited by 17 publications

(11 citation statements)

References 25 publications

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“…The nature of the condensation depends on the value of the inter-condensate coupling γ, which can be easily found by energy minimization of Eq. (216). If −β < γ < β, attraction between the condensates dominates and we are in the miscible regime.…”

Section: Dislocation Disorder Field Theorymentioning

confidence: 95%

“…Therefore, even the simple theory Eq. (216) shows that one can go from a solid to a smectic to a nematic depending on the ratio γ/β, which at this stage of development are phenomenological parameters. The case γ < −β does not lead to physical solutions.…”

Section: Dislocation Disorder Field Theorymentioning

confidence: 99%

“…This is in a boundary language which is closely related to the language we have been using. There is yet another long standing, and deep mystery in holographic duality related to the description of liquid crystals related to the deep problem that this has to be associated with spin-2 modes in the bulk that are already used up by the stress energy in the boundary [216]. It might well be the stress duality of this review can be translated to the gravitational bulk, where it should reveal profound structure.…”

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confidence: 91%

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Dual gauge field theory of quantum liquid crystals in two dimensions

et al. 2017

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We present a self-contained review of the theory of dislocation-mediated quantum melting at zero temperature in two spatial dimensions. The theory describes the liquid-crystalline phases with spatial symmetries in between a quantum crystalline solid and an isotropic superfluid: quantum nematics and smectics. It is based on an Abelian-Higgs-type duality mapping of phonons onto gauge bosons ("stress photons"), which encode for the capacity of the crystal to propagate stresses. Dislocations and disclinations, the topological defects of the crystal, are sources for the gauge fields and the melting of the crystal can be understood as the proliferation (condensation) of these defects, giving rise to the Anderson-Higgs mechanism on the dual side. For the liquid crystal phases, the shear sector of the gauge bosons becomes massive signaling that shear rigidity is lost. After providing the necessary background knowledge, including the order parameter theory of two-dimensional quantum liquid crystals and the dual theory of stress gauge bosons in bosonic crystals, the theory of melting is developed step-by-step via the disorder theory of dislocation-mediated melting. Resting on symmetry principles, we derive the phenomenological imaginary time actions of quantum nematics and smectics and analyze the full spectrum of collective modes. The quantum nematic is a superfluid having a true rotational Goldstone mode due to rotational symmetry breaking, and the origin of this 'deconfined' mode is traced back to the crystalline phase. The two-dimensional quantum smectic turns out to be a dizzyingly anisotropic phase with the collective modes interpolating between the solid and nematic in a non-trivial way. We also consider electrically charged bosonic crystals and liquid crystals, and carefully analyze the electromagnetic response of the quantum liquid crystal phases. In particular, the quantum nematic is a real superconductor and shows the Meissner effect. Their special properties inherited from spatial symmetry breaking show up mostly at finite momentum, and should be accessible by momentum-sensitive spectroscopy.

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Section: Dislocation Disorder Field Theorymentioning

confidence: 95%

Section: Dislocation Disorder Field Theorymentioning

confidence: 99%

mentioning

confidence: 91%

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Dual gauge field theory of quantum liquid crystals in two dimensions

et al. 2017

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“…To broaden out the δ-function and recover finite DC conductivities, translation symmetry must be broken. While this can be implemented holographically in full generality by considering inhomogeneous black holes and solving numerically partial differential equations [4][5][6][7][8][9][10], another approach involving spatially linear sources and homogeneous black hole backgrounds has proven analytically tractable and particularly fruitful [11][12][13][14][15][16][17][18][19][20][21][22][23][24]. 1 Two regimes are physically relevant.…”

Section: Introductionmentioning

confidence: 99%

Effective holographic theories of momentum relaxation and violation of conductivity bound

Goutéraux

Kiritsis

2016

J. High Energ. Phys.

114

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We generalize current holographic models with homogeneous breaking of translation symmetry by incorporating higher derivative couplings, in the spirit of effective field theories. Focusing on charge transport, we specialize to two simple couplings between the charge and translation symmetry breaking sectors. We obtain analytical charged black brane solutions and compute their DC conductivity in terms of horizon data. We constrain the allowed values of the couplings and note that the DC conductivity can vanish at zero temperature for strong translation symmetry breaking, thus showing that in general there is no lower bound on the conductivity.

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“…One purported success of the theory (8) (with U(ϕ) ~ ϕ 2 and V(ϕ) = const) was a numerical fit to the experimentally observed power-law behaviour of the mid-infrared optical conductivity [65][66][67][68] σ(ω) ~ ω -2/3 (9) in the normal state of the superconducting cuprates such as BSCYCO [69]. Notably, though, such an agreement was found over less than half of a decade (2 < ωτ < 8) while the later studies did not confirm it [70][71][72]. Besides, it was also argued to be intermittent with the alternate 'universal' , ~ω -1 , behaviour.…”

Section: D+z-θmentioning

confidence: 99%

Demystifying the holographic mystique: A critical review

Khveshchenko¹

2016

Lith. J. Phys.

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Thus far, in spite of many interesting developments, the overall progress towards a systematic study and classification of various 'strange' metallic states of matter has been rather limited. To that end, it was argued that a recent proliferation of the ideas of holographic correspondence originating from string theory might offer a possible way out of the stalemate. However, after almost a decade of intensive studies into the proposed extensions of the holographic conjecture to a variety of condensed matter problems, the validity of this intriguing approach remains largely unknown. This discussion aims at ascertaining its true status and elucidating the conditions under which some of its predictions may indeed be right (albeit, possibly, for a wrong reason).Keywords: strongly correlated systems, holographic correspondence, transport theory, strange metals, analogue gravity PACS: 71.27.+a Condensed matter holography: the promiseAmong the outstanding grand problems in condensed matter physics is that of a deeper understanding and classification of the so-called 'strange metals' or compressible non-Fermi liquid (NFL) states of the strongly interacting systems. However, despite all the effort and a plethora of the important and nontrivial results obtained with the use of the traditional techniques, this program still remains far from completion.As an alternate approach, over the past decade there have been numerous attempts inspired by the hypothetical idea of holographic correspondence which originated from string/gravity/high energy theory (where it is known under the acronym AdS/ CFT) to adapt its main concepts to various condensed matter (or, even more generally, quantum manybody) systems at finite densities and temperatures [1][2][3][4][5][6][7].In its original context, the bona fide holographic principle postulates that certain d + 1-dimensional ('boundary') quantum field theories (e. g. the maximally supersymmetric SU(N) gauge theory) may allow for a dual description in terms of a string theory which, upon a proper compactification, amounts to a certain d + 2-dimensional ('bulk') supergravity. Moreover, in the strong coupling limit (characterized in terms of the t'Hooft coupling constant λ = g 2 N >> 1) and for a large rank N > > 1 of the gauge symmetry group, the bulk description can be further reduced down to a weakly fluctuating gravity model which can even be treated semiclassically at the lowest (0th) order of the underlying 1/N-expansion.In the practical applications of the holographic conjecture, the partition function of a strongly interacting boundary theory with the Lagrangian L(ϕ a ) would then be approximated by a saddle-point (classical) value of the bulk action described by the Lagrangian L(g μν ,…) which includes gravity and other fields dual to their boundary counterparts [1][2][3][4][5][6][7][8] (1) evaluated with the use of a fixed background metric ,while any quantum corrections would usually be neglected by invoking the small parameter 1/N.

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Absence of power-law mid-infrared conductivity in gravitational crystals

Cited by 17 publications

References 25 publications

Dual gauge field theory of quantum liquid crystals in two dimensions

Dual gauge field theory of quantum liquid crystals in two dimensions

Effective holographic theories of momentum relaxation and violation of conductivity bound

Demystifying the holographic mystique: A critical review

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