Formation and critical dynamics of topological defects in Lifshitz holography

Li, Zhi-Hong; Xia, Chuan-Yin; Zeng, Hua-Bi; Zhang, Hai-Qing

doi:10.1007/jhep04(2020)147

Cited by 13 publications

(9 citation statements)

References 29 publications

(62 reference statements)

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“…The shaded regions correspond to the standard deviations from the mean values. In the fast quench regime (small τ Q ) the vortex number approximately saturates due to the finite size effect, which is consistent with previous results in condensed matter or holography [44][45][46][47]. However, in the slow quench regime (large τ Q ), the vortex number will decrease with respect to quench time satisfying the scaling relations as…”

Section: Kzm Scalings Of Vortex Number and "Freeze-out" Timesupporting

confidence: 89%

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Topological defects formation with momentum dissipation

Zeng

Zhang

2021

J. High Energ. Phys.

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We employ holographic techniques to explore the effects of momentum dissipation on the formation of topological defects during the critical dynamics of a strongly coupled superconductor after a linear quench of temperature. The gravity dual is the dRGT massive gravity in which the conservation of momentum in the boundary field theory is broken by the presence of a bulk graviton mass. From the scaling relations of defects number and “freeze-out” time to the quench rate for various graviton masses, we demonstrate that the momentum dissipation induced by graviton mass has little effect on the scaling laws compared to the Kibble-Zurek mechanism. Inspired from Pippard’s formula in condensed matter, we propose an analytic relation between the coherence length and the graviton mass, which agrees well with the numerical results from the quasi-normal modes analysis. As a result, the coherence length decreases with respect to the graviton mass, which indicates that the momentum dissipation will augment the number of topological defects.

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Section: Kzm Scalings Of Vortex Number and "Freeze-out" Timesupporting

confidence: 89%

“…Applications of gauge/gravity duality on non-equilibrium dynamics can be found in [36][37][38][39][40][41][42][43]. Previous holographic work on KZM were carried out in [44][45][46][47][48][49][50], without any momentum dissipation in the background.…”

Section: Introductionmentioning

confidence: 99%

Topological defects formation with momentum dissipation

Zeng

Zhang

2021

J. High Energ. Phys.

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“…Numerically, we find a linear dependence between the vortex number and the amplitude of the magnetic field at the 'trapping' time, verifying the FTM very well. Previous work on holographic topological defects can be found in [21][22][23][24][25][26].…”

Section: B Locations Of the Magnetic Fields And The Order Parameter Vortices In The Far-from-equilibrium State 10mentioning

confidence: 99%

Holographic topological defects and local gauge symmetry: clusters of strongly coupled equal-sign vortices

Xia

Zeng

et al. 2021

J. High Energ. Phys.

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Gauge invariance plays an important role in forming topological defects. In this work, from the AdS/CFT correspondence, we realize the clusters of equal-sign vortices during the course of critical dynamics of a strongly coupled superconductor. This is the first time to achieve the equal-sign vortex clusters in strongly coupled systems. The appearance of clusters of equal-sign vortices is a typical character of flux trapping mechanism, distinct from Kibble-Zurek mechanism which merely presents vortex-antivortex pair distributions resulting from global symmetry breaking. Numerical results of spatial correlations and net fluxes of the equal-sign vortex clusters quantitatively support the positive correlations between vortices. The linear dependence between the vortex number and the amplitude of magnetic field at the ‘trapping’ time demonstrates the flux trapping mechanism very well.

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“…This approach does not make use of any conventional mechanism of translational symmetry breaking, but instead provides an effective bulk description of a theory without momentum conservation from massive gravity. Previous holographic work on KZM were carried out in [33][34][35][36][37][38], without any momentum dissipation in the background.…”

Section: Introductionmentioning

confidence: 99%

Topological Defects Formation with Momentum Dissipation

Li,

Zeng,

Zhang

2021

Preprint

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We employ holographic techniques to explore the effects of momentum dissipation on the formation of topological defects during the critical dynamics of a strongly coupled superconductor after a linear quench of temperature. The gravity dual is the dRGT massive gravity in which the conservation of momentum in the boundary field theory is broken by the presence of a bulk graviton mass. From the scaling relations of defects number and "freeze-out" time to the quench rate for various graviton masses, we demonstrate that the momentum dissipation induced by graviton mass has little effect on the scaling laws compared to the Kibble-Zurek mechanism. Inspired from Pippard's formula in condensed matter, we propose an analytic relation between the coherence length and the graviton mass, which agrees well with the numerical results from the quasi-normal modes analysis. As a result, the coherence length decreases with respect to the graviton mass, which indicates that the momentum dissipation will augment the number of topological defects.

show abstract

Formation and critical dynamics of topological defects in Lifshitz holography

Cited by 13 publications

References 29 publications

Topological defects formation with momentum dissipation

Topological defects formation with momentum dissipation

Holographic topological defects and local gauge symmetry: clusters of strongly coupled equal-sign vortices

Topological Defects Formation with Momentum Dissipation

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