2019/05/31 by K. B. Efetov, Konstantin B. Efetov
Mathematics · Physics and Astronomy · #Condensed matter physics #Cuprate #Fermion #Inelastic neutron scattering #Mathematics #Neutron scattering #Operator (biology) #Parameter space #Physics #Physics of Superconductivity and Magnetism #Pseudogap #Quantum and electron transport phenomena #Quantum mechanics #Quantum, superfluid, helium dynamics #Scattering #Spin (aerodynamics) #Superconductivity #Symmetry breaking #T-symmetry #Translational symmetry #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.100.245128
published as Phys. Rev. B 100, 245128 (2019) · 33 pages, 3 figures. Many details concerning breaking of time-translation symmetry are added, inapplicability of a `no-go' theorem is explained, the final results remain intact. arXiv admin note: text overlap with arXiv:1902.07520
arxiv created 2019/11/03 · openalex publication_date 2019/12/17 · arxiv updated 2019/12/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A model demonstrating the 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 nondecaying oscillations. An alternative interpretation of the results is based on the 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 (\ensuremathπ,\ensuremathπ) do not exist. Instead, \ensuremathδ peaks at finite energies are predicted in the cross-section of inelastic spin-polarized neutron scattering.