Crystalline geometries from fermionic vortex lattice with hyperscaling violation

Chen, Like; Guo, Hong; Shu, Fu-Wen

doi:10.1103/physrevd.94.026011

Cited by 3 publications

(3 citation statements)

References 91 publications

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“…It is expected that fermionic sector may exhibit much more fruitful structures in this context, especially the phase transition disclosed in [55]. Moreover, it is also interesting to study the formation of the crystalline geometries [56] in the present context, to see which configuration of the lattice tends to form.…”

Section: Conclusion and Discussionmentioning

confidence: 90%

Lifshitz holographic superconductor in Hořava–Lifshitz gravity

2016

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We study the holographic phase transition of superconductor dual to a Lifshitz black brane probed by an anisotropic scalar field in the probe limit in Hoȓava-Lifshitz gravity. With the use of numerical and analytical method, we investigate how the critical temperature of the condensation is affected by the Lifshitz exponent z, α−correction term in the action as well as the dimensions of the gravity. We also numerically explore the condensation of the dual operator and optical conductivity of the holographic system. Various interesting properties of the holographic condensation affected by the parameters of model are discussed. * Electronic address:

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Section: Conclusion and Discussionmentioning

confidence: 90%

Lifshitz holographic superconductor in Hořava–Lifshitz gravity

2016

Self Cite

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“…For example, in [33], the authors studied the optical conductivity by adding a gravitational background lattice. Other papers about holographic lattice can be viewed in [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. The DeTurck method provides a good tool for solving Einstein equations in these papers.…”

Section: Introductionmentioning

confidence: 99%

Holographic s-wave and p-wave Josephson junction with backreaction

Wang

Liu

2016

J. High Energ. Phys.

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In this paper, we study the holographic models of s-wave and p-wave Josephoson junction away from probe limit in (3+1)-dimensional spacetime, respectively. With the backreaction of the matter, we obtained the anisotropic black hole solution with the condensation of matter fields. We observe that the critical temperature of Josephoson junction decreases with increasing backreaction. In addition to this, the tunneling current and condenstion of Josephoson junction become smaller as backreaction grows larger, but the relationship between current and phase difference still holds for sine function. Moreover, condenstion of Josephoson junction deceases with increasing width of junction exponentially.

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“…Breaking the translational symmetry itself can be done within different mechanisms. This is studied either by considering impurities in the system [10][11][12], breaking the diffeomorphism invariance in the bulk theory [13][14][15], turning on spatial dependent sources [16][17][18][19][20][21] or considering backreacted geometries from probe charged matter [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Non-local probes in holographic theories with momentum relaxation

Mozaffar

Mollabashi

Omidi

2016

J. High Energ. Phys.

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We consider recently introduced solutions of Einstein gravity with minimally coupled massless scalars. The geometry is homogeneous, isotropic and asymptotically anti de-Sitter while the scalar fields have linear spatial-dependent profiles. The spatiallydependent marginal operators dual to scalar fields cause momentum dissipation in the deformed dual CFT. We study the effect of these marginal deformations on holographic entanglement measures and Wilson loop. We show that the structure of the universal terms of entanglement entropy for d > 2-dim deformed CFTs is corrected depending on the geometry of the entangling regions. In d = 2 case, the universal term is not corrected while momentum relaxation leads to a non-critical correction. We also show that decrease of the correlation length causes: the phase transition of holographic mutual information to happen at smaller separations and the confinement/deconfinement phase transition to take place at smaller critical lengths. The effective potential between point like external objects also gets corrected. We show that the strength of the corresponding force between these objects is an increasing function of the momentum relaxation parameter.

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Crystalline geometries from fermionic vortex lattice with hyperscaling violation

Cited by 3 publications

References 91 publications

Lifshitz holographic superconductor in Hořava–Lifshitz gravity

Lifshitz holographic superconductor in Hořava–Lifshitz gravity

Holographic s-wave and p-wave Josephson junction with backreaction

Non-local probes in holographic theories with momentum relaxation

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