Edge states of mechanical diamond and its topological origin

被引:17
作者
Takahashi, Yuta [1 ]
Kariyado, Toshikaze [2 ]
Hatsugai, Yasuhiro [1 ]
机构
[1] Univ Tsukuba, Grad Sch Pure & Appl Sci, Tsukuba, Ibaraki 3058571, Japan
[2] Natl Inst Mat Sci, Int Ctr Mat Nanoarchitecton WPI MANA, Tsukuba, Ibaraki 3050044, Japan
关键词
INSULATOR; LATTICES; MODES;
D O I
10.1088/1367-2630/aa5edb
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Amechanical diamond, with the classical mechanics of a spring-mass model arrayed on a diamond lattice, is discussed topologically. Its frequency dispersion possesses an intrinsic nodal structure in the three-dimensional Brillouin zone (BZ) protected by the chiral symmetry. Topological changes of the line nodes are demonstrated, associated with the modification of the tension. The line nodes projected into two-dimensional BZ, form loops, which are characterized by the quantized Berry phases with 0 or p. With boundaries, the edge states are discussed in relation to the Berry phases and winding numbers, and the bulk-edge correspondence of the mechanical diamond is established.
引用
收藏
页数:9
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共 38 条
[11]   Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry [J].
Haldane, F. D. M. ;
Raghu, S. .
PHYSICAL REVIEW LETTERS, 2008, 100 (01)
[12]   Chiral symmetry and its manifestation in optical responses in graphene: interaction and multilayers [J].
Hatsugai, Y. ;
Morimoto, T. ;
Kawarabayashi, T. ;
Hamamoto, Y. ;
Aoki, H. .
NEW JOURNAL OF PHYSICS, 2013, 15
[13]   ZQ topological invariants for Polyacetylene, Kagome and Pyrochlore lattices [J].
Hatsugai, Y. ;
Maruyama, I. .
EPL, 2011, 95 (02)
[14]   CHERN NUMBER AND EDGE STATES IN THE INTEGER QUANTUM HALL-EFFECT [J].
HATSUGAI, Y .
PHYSICAL REVIEW LETTERS, 1993, 71 (22) :3697-3700
[15]  
Kane CL, 2014, NAT PHYS, V10, P39, DOI [10.1038/nphys2835, 10.1038/NPHYS2835]
[16]   Manipulation of Dirac Cones in Mechanical Graphene [J].
Kariyado, Toshikaze ;
Hatsugai, Yasuhiro .
SCIENTIFIC REPORTS, 2015, 5
[17]   Discovery of a Three-Dimensional Topological Dirac Semimetal, Na3Bi [J].
Liu, Z. K. ;
Zhou, B. ;
Zhang, Y. ;
Wang, Z. J. ;
Weng, H. M. ;
Prabhakaran, D. ;
Mo, S-K ;
Shen, Z. X. ;
Fang, Z. ;
Dai, X. ;
Hussain, Z. ;
Chen, Y. L. .
SCIENCE, 2014, 343 (6173) :864-867
[18]   Experimental observation of Weyl points [J].
Lu, Ling ;
Wang, Zhiyu ;
Ye, Dexin ;
Ran, Lixin ;
Fu, Liang ;
Joannopoulos, John D. ;
Soljacic, Marin .
SCIENCE, 2015, 349 (6248) :622-624
[20]   Topological mechanics of gyroscopic metamaterials [J].
Nash, Lisa M. ;
Kleckner, Dustin ;
Read, Alismari ;
Vitelli, Vincenzo ;
Turner, Ari M. ;
Irvine, William T. M. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2015, 112 (47) :14495-14500