Mean-field thermodynamic quantum time-space crystal: Spontaneous breaking of time-translation symmetry in a macroscopic fermion system

Mean-field thermodynamic quantum time-space crystal: Spontaneous breaking of time-translation symmetry in a macroscopic fermion system
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平均场热力学量子时空晶体:宏观费米子系统中时间平移对称性的自发破缺

DOI:
10.1103/physrevb.100.245128
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发表时间:
2019
期刊:
影响因子:
3.7
通讯作者:
K. Efetov
K. Efetov
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
K. Efetov

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本文提出并研究了一个证明量子时空晶体存在的模型。这种状态的特征在于在真实的和虚的时间周期的序参数。序参量的平均值在振荡的相位上消失,但两个或多个序参量的相关函数显示非衰减振荡。结果的另一种解释是基于为此目的引入的算子序参数的概念。这里研究的模型已经提出了以前,特别是用于描述超导铜氧化物的赝能隙态。虽然这里考虑的时空晶体的许多性质接近于那些众所周知的DDW状态,静态磁矩振荡在$(\pi,\pi)$不存在。相反,预测在非弹性自旋极化中子散射的横截面在有限能量的$\delta$-峰。
A model demonstrating existence of a thermodynamically stable quantum time-space crystal has been proposed and studied. This state is characterized by an order parameter periodic in both real and imaginary times. The average of the order parameter over phases of the oscillations vanishes but correlation functions of two or more order parameters show non-decaying oscillations. An alternative interpretation of the results is based on a concept of an operator order parameter introduced for this purpose. The model studied here has been suggested previously, in particular, for describing the pseudogap state in superconducting cuprates. Although many properties of the time-space crystal considered here are close to those of a well known DDW state, static magnetic moments oscillating at $ ( \pi ,\pi) $ do not exist. Instead, $\delta$-peaks at finite energies are predicted in the cross-section of inelastic spin-polarized neutron scattering.
DOI: 10.1103/physrevb.95.224511
发表时间: 2017-06-14
期刊: PHYSICAL REVIEW B
影响因子: 3.7
作者:
Caprara, S.;Di Castro, C.;Grilli, M.
通讯作者: Grilli, M.
DOI: 10.1038/nphys2641
发表时间: 2013-07-01
期刊: NATURE PHYSICS
影响因子: 19.6
作者:
Efetov, K. B.;Meier, H.;Pepin, C.
通讯作者: Pepin, C.