Space-Time Crystal and Space-Time Group

被引:46
|
作者
Xu, Shenglong [1 ,2 ,3 ]
Wu, Congjun [1 ]
机构
[1] Univ Calif San Diego, Dept Phys, La Jolla, CA 92093 USA
[2] Univ Maryland, Condensed Matter Theory Ctr, College Pk, MD 20742 USA
[3] Univ Maryland, Dept Phys, College Pk, MD 20742 USA
基金
中国国家自然科学基金;
关键词
TOPOLOGICAL INSULATORS; FERMIONS;
D O I
10.1103/PhysRevLett.120.096401
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Crystal structures and the Bloch theorem play a fundamental role in condensed matter physics. We extend the static crystal to the dynamic "space-time" crystal characterized by the general intertwined spacetime periodicities in D + 1 dimensions, which include both the static crystal and the Floquet crystal as special cases. A new group structure dubbed a "space-time" group is constructed to describe the discrete symmetries of a space-time crystal. Compared to space and magnetic groups, the space-time group is augmented by "time-screw" rotations and "time-glide" reflections involving fractional translations along the time direction. A complete classification of the 13 space-time groups in one-plus-one dimensions (1 + 1D) is performed. The Kramers-type degeneracy can arise from the glide time-reversal symmetry without the half-integer spinor structure, which constrains the winding number patterns of spectral dispersions. In 2 thorn 1D, nonsymmorphic space-time symmetries enforce spectral degeneracies, leading to protected Floquet semimetal states. We provide a general framework for further studying topological properties of the (D + 1)-dimensional space-time crystal.
引用
收藏
页数:6
相关论文
共 50 条
  • [41] HOLES IN SPACE-TIME
    ROSS, DK
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS, 1992, 107 (02): : 203 - 210
  • [42] SPACE-TIME DIAGRAMS
    KAISER, AB
    AMERICAN JOURNAL OF PHYSICS, 1972, 40 (11) : 1701 - &
  • [43] ON QUANTIZED SPACE-TIME
    ICHIYANAGI, M
    PROGRESS OF THEORETICAL PHYSICS, 1981, 65 (04): : 1472 - 1475
  • [44] IMMERSIONS OF SPACE-TIME
    RASTALL, P
    CANADIAN JOURNAL OF PHYSICS, 1969, 47 (06) : 607 - &
  • [45] Space-time continuum
    Wood, H
    NATURE REVIEWS GENETICS, 2003, 4 (05) : 332 - 333
  • [46] Cloaking space-time
    McCall, Martin
    Kinsler, Paul
    PHYSICS WORLD, 2011, 24 (07) : 35 - 38
  • [47] THE DIMENSION OF SPACE-TIME
    MIRMAN, R
    LETTERE AL NUOVO CIMENTO, 1984, 39 (16): : 398 - 400
  • [48] DIMENSIONALITY OF SPACE-TIME
    MARIWALLA, KH
    JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (01) : 96 - +
  • [49] Analyzing photonic space-time crystal with FDTD
    Zhang, Zheng
    Zhang, Wenjun
    Zeng, Lunwu
    MODERN PHYSICS LETTERS B, 2020, 34 (06):
  • [50] A strained space-time
    Tartaglia, Angelo
    SPANISH RELATIVITY MEETING (ERE 2010): GRAVITY AS A CROSSROAD IN PHYSICS, 2011, 314