Universal Breakdown of Kibble-Zurek Scaling in Fast Quenches across a Phase Transition

Zeng, Hua-Bi; Xia, Chuan-Yin; Campo, Adolfo del

doi:10.1103/physrevlett.130.060402

Cited by 19 publications

(5 citation statements)

References 73 publications

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“…This saturation of the defect number at fast quenches is consistent with observations in experiments [30][31][32] and theoretical studies [29,35,39,[56][57][58][59][60]. In what follows, we not only elucidate the mechanism of the existence of the plateau region in the rapidly quenched region, but also deduce its value (the average number of defects), and characterize the crossover between the plateau and the KZM powerlaw [48]. For rapid quenching, the end time t f is smaller than the relaxation time, that is…”

Section: Universal Critical Dynamics and Defect Formation: The Kibble...supporting

confidence: 88%

“…Our results thus established the validity of the universal scaling laws for arbitrary quenches across a structural phase transition, from the slow [46] to the fast limit [48], in a holographic setting. We expect our findings to hold in conventional structural phase transitions in condensed matter systems, such as confined Coulomb crystals, colloids, and dusty plasma.…”

Section: Universal Critical Dynamics and Defect Formation: The Kibble...supporting

confidence: 70%

“…One may thus expect that signatures of universality in the nonequilibrium dynamics are restricted to the limit of slow quenches. Contrary to this expectation, recent works have shown that the critical dynamics for moderate and fast quenches also admits a universal description, in holographic systems [55], as well as in classical and quantum systems [48]. This is a significant advance, as such conditions are of relevance to many scenarios, away from the large τ Q limit.…”

Section: Universal Critical Dynamics and Defect Formation: The Kibble...mentioning

confidence: 93%

“…The test of the KZM across a structural phase transition was proposed in [35,38] and has been realized using ion crystals [29][30][31][32]47]. At fast quenches, by contrast, such scaling laws exhibit a universal breakdown and the domain size and defect density saturate to a value independent of the quench rate [48].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Structural phase transition and its critical dynamics from holography

Xia¹,

Zeng²,

Chen³

et al. 2023

Preprint

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We introduce a gravitational lattice theory defined in an AdS3 black hole background that provides a holographic dual description of the linear-to-zigzag structural phase transition, characterized by the spontaneous breaking of parity symmetry observed in, e.g., confined Coulomb crystals. The transition from the high-symmetry linear phase to the broken-symmetry doubly-degenerate zigzag phase can be driven by quenching the coupling between adjacent sites through the critical point. An analysis of the equilibrium correlation length and relaxation time reveals mean-field critical exponents. We explore the nonequilibrium phase transition dynamics leading to kink formation. The kink density obeys universal scaling laws in the limit of slow quenches, described by the Kibble-Zurek mechanism (KZM), and at fast quenches, characterized by a universal breakdown of the KZM.

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Section: Universal Critical Dynamics and Defect Formation: The Kibble...supporting

confidence: 88%

Section: Universal Critical Dynamics and Defect Formation: The Kibble...supporting

confidence: 70%

Section: Universal Critical Dynamics and Defect Formation: The Kibble...mentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Structural phase transition and its critical dynamics from holography

Xia¹,

Zeng²,

Chen³

et al. 2023

Preprint

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“…The nearly power-law relation between the density of topological defects and the cooling rate in monolayer CrSBr is suggestive of the Kibble-Zurek (KZ) mechanism 11,12 . Though the KZ mechanism was rst predicted in the early Universe and was later tested in liquid crystals, super uid helium, superconductors, ultracold gases, etc., its investigation in magnets is still limited [37][38][39] . The KZ mechanism allows for the formation of defects near the phase transition; however, the cooling rate has a large in uence on the evolution of the defects, suggesting that the presence of bimerons might depend on the "history" of the sample.…”

Section: Kibble-zurek Mechanismmentioning

confidence: 99%

Emergence of topological bimerons in monolayer CrSBr

Yang,

Han,

Picozzi

2024

Preprint

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The rich and fascinating physics of topological spin textures in van der Waals two-dimensional magnets has motivated recent growing interests, though a comprehensive understanding remains elusive. Here, by atomistic simulations on monolayer CrSBr, we find two different magnetic phases emerging under non-equilibrium conditions at a standard ferromagnetic transition Tc and at a distinct lower temperature T*. Moreover, the real-space analysis of the spin texture reveals the emergence of metastable topological bimeron defects below T*, showing an algebraic-like decaying spin-spin correlation function. The Dzyaloshinskii-Moriya interaction, induced by the local site asymmetry in the centrosymmetric CrSBr monolayer, is proved to be the origin of the bimerons formation. Furthermore, the increasing bimerons density upon increasing the cooling rate follows a Kibble-Zurek behavior, suggesting a handle to drive and control topological bimerons below T*. Our results put forward CrSBr as an important candidate for the investigation of dynamical behavior of bimerons in vdW magnets.

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Dynamical evolution of spinodal decomposition in holographic superfluids

Zhao,

Nie,

Zhao

et al. 2024

J. High Energ. Phys.

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We study the nonlinear dynamical evolution of spinodal decomposition in a first-order superfluid phase transition using a simple holographic model in the probe limit. We first confirm the linear stability analysis based on quasinormal modes and verify the existence of a critical length scale related to a gradient instability — negative speed of sound squared — of the superfluid sound mode, which is a consequence of a negative thermodynamic charge susceptibility. We present a comparison between our case and the standard Cahn-Hilliard equation for spinodal instability, in which a critical length scale can be also derived based on a diffusive instability. We then perform several numerical tests which include the nonlinear time evolution directly from an unstable state and fast quenches from a stable to an unstable state in the spinodal region. Our numerical results provide a real time description of spinodal decomposition and phase separation in one and two spatial dimensions. We reveal the existence of four different stages in the dynamical evolution, and characterize their main properties. Finally, we investigate the strength of dynamical heterogeneity using the spatial variance of the local chemical potential and we correlate the latter to other features of the dynamical evolution.

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Universal Breakdown of Kibble-Zurek Scaling in Fast Quenches across a Phase Transition

Cited by 19 publications

References 73 publications

Structural phase transition and its critical dynamics from holography

Structural phase transition and its critical dynamics from holography

Emergence of topological bimerons in monolayer CrSBr

Dynamical evolution of spinodal decomposition in holographic superfluids

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