Topological Hamiltonian as an exact tool for topological invariants

被引:80
作者
Wang, Zhong [1 ]
Yan, Binghai [2 ]
机构
[1] Tsinghua Univ, Inst Adv Study, Beijing 100084, Peoples R China
[2] Johannes Gutenberg Univ Mainz, Inst Inorgan & Analyt Chem, D-55099 Mainz, Germany
关键词
BAND-GAPS; INSULATORS; MODEL; SEMICONDUCTORS; FIELD;
D O I
10.1088/0953-8984/25/15/155601
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We propose the concept of 'topological Hamiltonian' for topological insulators and superconductors in interacting systems. The eigenvalues of the topological Hamiltonian are significantly different from the physical energy spectra, but we show that the topological Hamiltonian contains the information of gapless surface states, therefore it is an exact tool for topological invariants.
引用
收藏
页数:8
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共 61 条
[11]  
Goldstone J., 1981, Physical Review Letters, V47, P986, DOI 10.1103/PhysRevLett.47.986
[12]   Single-particle Green's functions and interacting topological insulators [J].
Gurarie, V. .
PHYSICAL REVIEW B, 2011, 83 (08)
[14]   Colloquium: Topological insulators [J].
Hasan, M. Z. ;
Kane, C. L. .
REVIEWS OF MODERN PHYSICS, 2010, 82 (04) :3045-3067
[15]   Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study [J].
Hohenadler, M. ;
Lang, T. C. ;
Assaad, F. F. .
PHYSICAL REVIEW LETTERS, 2011, 106 (10)
[16]   1ST-PRINCIPLES THEORY OF QUASIPARTICLES - CALCULATION OF BAND-GAPS IN SEMICONDUCTORS AND INSULATORS [J].
HYBERTSEN, MS ;
LOUIE, SG .
PHYSICAL REVIEW LETTERS, 1985, 55 (13) :1418-1421
[17]   ELECTRON CORRELATION IN SEMICONDUCTORS AND INSULATORS - BAND-GAPS AND QUASI-PARTICLE ENERGIES [J].
HYBERTSEN, MS ;
LOUIE, SG .
PHYSICAL REVIEW B, 1986, 34 (08) :5390-5413
[18]   MAGNETIC-FIELD INDUCED MULTICOMPONENT QED3 AND QUANTUM HALL-EFFECT [J].
ISHIKAWA, K ;
MATSUYAMA, T .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1986, 33 (01) :41-45
[19]   SOLITONS WITH FERMION NUMBER 1/2 [J].
JACKIW, R ;
REBBI, C .
PHYSICAL REVIEW D, 1976, 13 (12) :3398-3409
[20]   Z2 topological order and the quantum spin Hall effect -: art. no. 146802 [J].
Kane, CL ;
Mele, EJ .
PHYSICAL REVIEW LETTERS, 2005, 95 (14)