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arXiv · 2305.04771

Equilibration of Topological Defects Near the Deconfined Quantum Multicritical Point

Yu-Rong Shu·Shao-Kai Jian·Anders W. Sandvik·Shuai Yin
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Abstract

Deconfined quantum criticality (DQC) arises from fractionalization of quasi-particles and leads to fascinating behaviors beyond the Landau-Ginzburg-Wilson description of phase transitions. Here, we study the critical dynamics when driving a two-dimensional quantum magnet through a weakly first-order transition point near a putative deconfined multicritical point separating antiferromagnetic and spontaneously dimerized ground states. Numerical simulations show that the conventional Kibble-Zurek scaling (KZS) mechanism is inadequate for describing the annealing process. We introduce the concept of dual asymmetric KZS, where both a pseudocritical relaxation time and the deconfinement time enter and the scaling also depends on the driving direction according to a duality principle connecting the topological defects in the two phases. These defects require a much longer time scale for equilibration than the amplitude of the order parameter. Beyond advancing the DQC scenario, our scaling approach provides a new window into out-of-equilibrium criticality with multiple length and time scales.

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Yu-Rong Shu, Shao-Kai Jian, Anders W. Sandvik, Shuai Yin. 2023-05-08. Equilibration of Topological Defects Near the Deconfined Quantum Multicritical Point. https://doi.org/10.1038/s41467-025-58477-z

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