scholarly journals Construction and classification of point-group symmetry-protected topological phases in two-dimensional interacting fermionic systems

2020 ◽  
Vol 101 (10) ◽  
Author(s):  
Jian-Hao Zhang ◽  
Qing-Rui Wang ◽  
Shuo Yang ◽  
Yang Qi ◽  
Zheng-Cheng Gu
Keyword(s):  
Point Group ◽  
Group Symmetry ◽  
Topological Phases ◽  
Two Dimensional ◽  
Point Group Symmetry ◽  
Fermionic Systems ◽  
Symmetry Protected

Effects of Point Group Symmetry on Irreducible Brillouin Zone in Two-Dimensional Photonic Crystals

2012 ◽  
Vol 32 (7) ◽  
pp. 0726002
Author(s):  
许振龙 Xu Zhenlong ◽  
吴福根 Wu Fugen ◽  
郭钟宁 Guo Zhongning
Keyword(s):  
Photonic Crystals ◽  
Brillouin Zone ◽  
Point Group ◽  
Group Symmetry ◽  
Two Dimensional ◽  
Point Group Symmetry

"NONCRYSTALLOGRAPHIC" SYMMETRY AND QUASICRYSTALS

1989 ◽  
Vol 03 (05) ◽  
pp. 665-679
Author(s):  
K. H. KUO
Keyword(s):  
Experimental Evidence ◽  
Short Range ◽  
Point Group ◽  
Group Symmetry ◽  
Two Dimensional ◽  
Point Group Symmetry ◽  
The Past ◽  
Orientation Order ◽  
Icosahedral Quasicrystals ◽  
Rapidly Solidified

After the sensational discovery of the icosahedral quasicrystals, two dimensional quasicrystals with 8,10 and 12 fold rotational symmetries have also been found in various rapidly solidified alloys and experimental evidence will be presented here. Since these rotational symmetries are not compatible with the Bravais space lattices, they were called "noncrystallographic" point group symmetry in the past. However, it is argued that the long-range periodic translation order is only one of the results of the propagation of short-range orientation order and that the Bravais space lattice might not be a prerequisite of a crystal. During rapid solidification short-range orientation order predominates and therefore quasicrystals might occur with rotational symmetries not hitherto encountered.

The effect of crystallographic orientation on the optical anisotropy of graphite layers on diamond surfaces

1987 ◽  
Vol 20 (1) ◽  
pp. 11-15 ◽  
Author(s):  
W. J. P. van Enckevort
Keyword(s):  
Optical Anisotropy ◽  
Point Group ◽  
Group Symmetry ◽  
Complete Agreement ◽  
Two Dimensional ◽  
Point Group Symmetry ◽  
Diamond Surfaces ◽  
Substrate Orientation ◽  
Single Crystal Diamond ◽  
Graphite Coatings

The optical anisotropy of polycrystalline graphite layers formed after catalytic graphitization of single-crystal diamond surfaces has been studied as a function of crystallographic substrate orientation. It was found that the shapes and orientations of the two-dimensional indicatrices of the graphite coatings were in complete agreement with the two-dimensional point-group symmetry of the underlying diamond surfaces. This means the graphite crystallites have one or more preferential orientations imposed by the substrate.

scholarly journals An -valued index of symmetry-protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems

2021 ◽  
Vol 9 ◽  
Author(s):  
Yoshiko Ogata
Keyword(s):  
Finite Group ◽  
Quantum Spin ◽  
Spin Systems ◽  
Group Symmetry ◽  
Topological Phases ◽  
Two Dimensional ◽  
Quantum Spin Systems ◽  
Symmetry Protected

Abstract We consider symmetry-protected topological phases with on-site finite group G symmetry $\beta $ for two-dimensional quantum spin systems. We show that they have $H^{3}(G,{\mathbb T})$ -valued invariant.

scholarly journals Topological Phases Protected by Point Group Symmetry

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Hao Song ◽  
Sheng-Jie Huang ◽  
Liang Fu ◽  
Michael Hermele
Keyword(s):  
Point Group ◽  
Group Symmetry ◽  
Topological Phases ◽  
Point Group Symmetry

Gas Phase Spin Relaxation of ZX3Y Molecules in the Dipolar Approximation

1975 ◽  
Vol 53 (7) ◽  
pp. 723-738 ◽  
Author(s):  
B. C. Sanctuary ◽  
R. F. Snider
Keyword(s):  
Kinetic Theory ◽  
Gas Phase ◽  
Magnetic Relaxation ◽  
Dipolar Coupling ◽  
Point Group ◽  
Group Symmetry ◽  
Subsequent Paper ◽  
Point Group Symmetry ◽  
Proper Treatment ◽  
Gas Kinetic Theory

The gas kinetic theory of nuclear magnetic relaxation of a polyatomic gas, as formulated in the previous paper, is evaluated for ZX3Y molecules relaxing via a dipolar coupling Hamiltonian. Stress is given to a proper treatment of point group symmetry, here C3v, and the possibility of molecular inversion is included. The detailed formula for the spin traces is however restricted to X nuclei with spin 1/2. A subsequent paper uses these results to elucidate the structure of the high density dependence of T1 forCF3H.

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