Spin-1 Dirac-Weyl fermions protected by bipartite symmetry

被引：11

作者：

Lin, Zeren ^{[1
,2
]}

Liu, Zhirong ^{[1
,3
]}

机构：

[1] Peking Univ, Coll Chem & Mol Engn, Beijing 100871, Peoples R China

[2] Peking Univ, Sch Phys, Beijing 100871, Peoples R China

[3] Peking Univ, Beijing Natl Lab Mol Sci, Ctr Nanochem, Beijing 100871, Peoples R China

来源：

JOURNAL OF CHEMICAL PHYSICS | 2015年 / 143卷 / 21期

基金：

中国国家自然科学基金;

关键词：

HUBBARD-MODEL; CLASSIFICATION; SEMIMETAL; GRAPHENE; SYSTEMS;

D O I：

10.1063/1.4936774

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We propose that bipartite symmetry allows spin-1 Dirac-Weyl points, a generalization of the spin-1/2 Dirac points in graphene, to appear as topologically protected at the Fermi level. In this spirit, we provide methodology to construct spin-1 Dirac-Weyl points of this kind in a given 2D space group and get the classification of the known spin-1 systems in the literature. We also apply the workflow to predict two new systems, P3m1-9 and P31m-15, to possess spin-1 at K/K' in the Brillouin zone of hexagonal lattice. Their stability under various strains is investigated and compared with that of T-3, an extensively studied model of ultracold atoms trapped in optical lattice with spin-1 also at K/K'. (C) 2015 AIP Publishing LLC.

引用

页数：8

共 44 条

[1] Flat bands, Dirac cones, and atom dynamics in an optical lattice [J].

Apaja, V. ;

Hyrkas, M. ;

Manninen, M. .

PHYSICAL REVIEW A, 2010, 82 (04)

[2] Designing Dirac points in two-dimensional lattices [J].

Asano, Kenichi ;

Hotta, Chisa .

PHYSICAL REVIEW B, 2011, 83 (24)

[3]

Balakrishnan R., 2012, UNIVERSITEX, DOI 10.1007/978-1-4614-4529-6

[4] Massless Dirac-Weyl fermions in a T3 optical lattice [J].

Bercioux, D. ;

Urban, D. F. ;

Grabert, H. ;

Haeusler, W. .

PHYSICAL REVIEW A, 2009, 80 (06)

[5] Band touching from real-space topology in frustrated hopping models [J].

Bergman, Doron L. ;

Wu, Congjun ;

Balents, Leon .

PHYSICAL REVIEW B, 2008, 78 (12)

[6]

Bradley C.J., 1972, MATH THEORY SYMMETRY

[7] Feshbach resonances in ultracold gases [J].

Chin, Cheng ;

Grimm, Rudolf ;

Julienne, Paul ;

Tiesinga, Eite .

REVIEWS OF MODERN PHYSICS, 2010, 82 (02) :1225-1286

[8] Topological phases for fermionic cold atoms on the Lieb lattice [J].

Goldman, N. ;

Urban, D. F. ;

Bercioux, D. .

PHYSICAL REVIEW A, 2011, 83 (06)

[9] Isolated flat bands and spin-1 conical bands in two-dimensional lattices [J].

Green, Dmitry ;

Santos, Luiz ;

Chamon, Claudio .

PHYSICAL REVIEW B, 2010, 82 (07)

[10]

Harrison W. A., 1989, Electronic Structure and the Properties of Solids: The Physics of the Chemical Bond

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