Criticality and rigidity of dissipative discrete time crystals in solids

Criticality and rigidity of dissipative discrete time crystals in solids
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固体中耗散离散时间晶体的临界性和刚性

DOI:
10.1103/physrevresearch.4.023025
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发表时间:
2022
影响因子:
4.2
通讯作者:
Ikeda Tatsuhiko N.
Ikeda Tatsuhiko N.
中科院分区:
--
文献类型:
--
作者:
Chinzei Koki;Ikeda Tatsuhiko N.

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We consider a dissipative quantum Ising model periodically driven by a train ofpulses and investigate dissipative discrete time crystals (DTCs) in solids. In this model, the interaction between the spins spontaneously breaks the discrete time translation symmetry, giving rise to a dissipative DTC, where two ferromagnetic states are switched alternately by each pulse. We microscopically describe the generic dissipation due to thermal contact to an equilibrium heat bath using the Bloch-Redfield equation. In contrast to other DTC studies, this dissipation stabilizes, rather than destroys, the DTC order without fine-tuning as long as the temperature is low enough. Invoking the time-dependent mean-field theory and solving self-consistently the periodic drive, dissipation, and DTC order parameter, we investigate the nonequilibrium DTC phase transition and determine the critical exponents, including a dynamical one. We also find phase transitions without an equilibrium counterpart: a nontrivial interplay of the periodic drive and dissipation gives rise to reentrant DTC transition when changing the pulse interval at a fixed temperature. Also, to demonstrate the rigidity of the DTC, we consider imperfectpulses, showing that the DTC is robust against the small imperfections and finding that discrete time quasicrystals can appear for the larger imperfections. Together with experimental proposals in magnetic materials, our results pave the way for realizing the DTC and for uncovering nonequilibrium critical phenomena in real solid-state materials.
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