Topological Hamiltonian as an exact tool for topological invariants

Zhong Wang; Binghai Yan

doi:10.1088/0953-8984/25/15/155601

Topological Hamiltonian as an exact tool for topological invariants

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	155601
Journal	Journal Of Physics-Condensed Matter
Volume	25
Issue number	15
DOIs	https://doi.org/10.1088/0953-8984/25/15/155601
State	Published - 17 Apr 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
General Materials Science

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10.1088/0953-8984/25/15/155601

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title = "Topological Hamiltonian as an exact tool for topological invariants",

abstract = "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.",

author = "Zhong Wang and Binghai Yan",

note = "Tsinghua University Initiative Scientific Research Program [20121087986]; ERC Advanced Grant [291472]",

year = "2013",

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T1 - Topological Hamiltonian as an exact tool for topological invariants

AU - Wang, Zhong

AU - Yan, Binghai

N1 - Tsinghua University Initiative Scientific Research Program [20121087986]; ERC Advanced Grant [291472]

PY - 2013/4/17

Y1 - 2013/4/17

N2 - 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.

AB - 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.

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U2 - 10.1088/0953-8984/25/15/155601

DO - 10.1088/0953-8984/25/15/155601

M3 - مقالة

SN - 0953-8984

VL - 25

JO - Journal Of Physics-Condensed Matter

JF - Journal Of Physics-Condensed Matter

IS - 15

M1 - 155601

ER -

Topological Hamiltonian as an exact tool for topological invariants

Abstract

All Science Journal Classification (ASJC) codes

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