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Topological defects shape the material and transport properties of physical systems. Examples range from vortex lines in quantum superfluids, defect-mediated buckling of graphene, and grain boundaries in ferromagnets and colloidal crystals,…

Soft Condensed Matter · Physics 2018-03-23 Norbert Stoop , Jörn Dunkel

The Kibble-Zurek mechanism describes the evolution of topological defect structures like domain walls, strings, and monopoles when a system is driven through a second order phase transition. The model is used on very different scales like…

Soft Condensed Matter · Physics 2015-10-16 Sven Deutschländer , Patrick Dillmann , Georg Maret , Peter Keim

The Kibble-Zurek (KZ) mechanism describes the generations of topological defects when a system undergoes a second-order phase transition via quenches. We study the holographic KZ scaling using holographic superconductors. The scaling can be…

High Energy Physics - Theory · Physics 2017-06-07 Makoto Natsuume , Takashi Okamura

We revisit the Kibble-Zurek mechanism by analyzing the dynamics of phase ordering systems during an infinitely slow annealing across a second order phase transition. We elucidate the time and cooling rate dependence of the typical growing…

Statistical Mechanics · Physics 2013-05-29 Giulio Biroli , Leticia F. Cugliandolo , Alberto Sicilia

We numerically study the density of topological defects for a two-dimensional assembly of particles driven over quenched disorder as a function of quench rate through the nonequilibrium phase transition from a plastic disordered flowing…

Statistical Mechanics · Physics 2024-04-23 C. J. O. Reichhardt , A. del Campo , C. Reichhardt

The Kibble-Zurek mechanism (KZM) describes the non-equilibrium dynamics and topological defect formation in systems undergoing second-order phase transitions. KZM has found applications in fields such as cosmology and condensed matter…

Statistical Mechanics · Physics 2025-04-28 Fumika Suzuki , Wojciech H. Zurek

When a system is swept through a quantum critical point (QCP), the Kibble-Zurek mechanism predicts that the average number of topological defects follows a universal power-law scaling with the ramp time scale. This scaling behavior is…

Statistical Mechanics · Physics 2026-05-19 R. Jafari , Alireza Akbari

The Kibble-Zurek mechanism describes the saturation of critical scaling upon dynamically approaching a phase transition. This is a consequence of the breaking of adiabaticity due to the scale set by the slow drive. By driving the gap…

Statistical Mechanics · Physics 2020-10-01 Björn Ladewig , Steven Mathey , Sebastian Diehl

The crossing of a continuous phase transition gives rise to the formation of topological defects described by the Kibble-Zurek mechanism (KZM) in the limit of slow quenches. The KZM predicts a universal power-law scaling of the defect…

Statistical Mechanics · Physics 2023-05-04 Hua-Bi Zeng , Chuan-Yin Xia , Adolfo del Campo

The formation of topological defects during continuous second-order phase transitions is well described by the Kibble-Zurek mechanism (KZM). However, when the spontaneously broken symmetry is only approximate, such transitions become smooth…

Statistical Mechanics · Physics 2026-02-06 Peng Yang , Chuan-Yin Xia , Sebastian Grieninger , Hua-Bi Zeng , Matteo Baggioli

The Kibble-Zurek mechanism provides a unified theory to describe the universal scaling laws in the dynamics when a system is driven through a second-order quantum phase transition. However, for first-order quantum phase transitions, the…

Quantum Gases · Physics 2020-05-26 L. -Y. Qiu , H. -Y. Liang , Y. -B. Yang , H. -X. Yang , T. Tian , Y. Xu , L. -M. Duan

The Kibble-Zurek mechanism demands an initial adiabatic stage before an impulse stage to have a frozen correlation length that generates topological defects in a cooling phase transition. Here we study such a driven critical dynamics but…

Statistical Mechanics · Physics 2016-01-19 Yingyi Huang , Shuai Yin , Qijun Hu , Fan Zhong

The Kibble-Zurek mechanism describes defect production due to non-adiabatic passage through a critical point. Here we study its variant from ramping the environment temperature to a critical point. We find that the defect density scales as…

Strongly Correlated Electrons · Physics 2023-07-07 Á. Bácsi , B. Dóra

Kibble-Zurek mechanism is a theory of defect formation in a non-equilibrium continuous phase transition. So far the theory has been successfully tested by numerical simulations and condensed matter experiments in a number of systems with…

Condensed Matter · Physics 2007-05-23 Jacek Dziarmaga

The Kibble-Zurek (KZ) mechanism renders a theoretical framework for elucidating the formation of topological defects across continuous phase transitions. Nevertheless, it is not immediately clear whether the KZ mechanism applies to…

The Kibble-Zurek mechanism captures universality when a system is driven through a continuous phase transition. Here we study the dynamical aspect of quantum phase transitions in the Ising Field Theory where the critical point can be…

Statistical Mechanics · Physics 2020-11-04 Kristóf Hódsági , Márton Kormos

We analyze the evolution of scalar and gauge fields during first order phase transitions and show how the Kibble mechanism for the formation of topological defects emerges from the underlying dynamics, paying particular attention to…

High Energy Physics - Phenomenology · Physics 2011-07-19 Mark Hindmarsh , Robert Brandenberger , Anne-Christine Davies

We consider the non-equilibrium dynamics of topologically ordered systems driven across a continuous phase transition into proximate phases with no, or reduced, topological order. This dynamics exhibits scaling in the spirit of Kibble and…

Strongly Correlated Electrons · Physics 2013-09-18 Anushya Chandran , F. J. Burnell , Vedika Khemani , S. L. Sondhi

Traversal of a symmetry-breaking phase transition at a finite rate can lead to causallyseparated regions with incompatible symmetries and the formation of defects at their boundaries. The defect formation follows universal scaling laws…

The Kibble-Zurek mechanism (KZM) predicts that the average number of topological defects generated upon crossing a continuous or quantum phase transition obeys a universal scaling law with the quench time. Fluctuations in the defect number…

Quantum Physics · Physics 2023-12-06 Federico Balducci , Mathieu Beau , Jing Yang , Andrea Gambassi , Adolfo del Campo
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