Arbitrary chern number generation in the three-band model from momentum space

Soo Yong Lee; Jin Hong Park; Gyungchoon Go; Jung Hoon Han

doi:10.7566/JPSJ.84.064005

Arbitrary chern number generation in the three-band model from momentum space

Soo Yong Lee
, Jin Hong Park
, Gyungchoon Go
, Jung Hoon Han

Department of Physics

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

13 Scopus citations

Abstract

A simple, general rule for generating a three-band model with arbitrary Chern numbers is given. The rule is based on the idea of monopole charge-changing unitary operations and can be realized by two types of simple unitary operations on the original Hamiltonian. A pair of monopole charges are required to produce desired topological numbers in the three-band model. The set of rules presented here offers a way to produce lattice models of any desired Chern numbers for three-sublattice situations.

Original language	English
Article number	064005
Journal	Journal of the Physical Society of Japan
Volume	84
Issue number	6
DOIs	https://doi.org/10.7566/JPSJ.84.064005
State	Published - 15 Jun 2015

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abstract = "A simple, general rule for generating a three-band model with arbitrary Chern numbers is given. The rule is based on the idea of monopole charge-changing unitary operations and can be realized by two types of simple unitary operations on the original Hamiltonian. A pair of monopole charges are required to produce desired topological numbers in the three-band model. The set of rules presented here offers a way to produce lattice models of any desired Chern numbers for three-sublattice situations.",

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Y1 - 2015/6/15

N2 - A simple, general rule for generating a three-band model with arbitrary Chern numbers is given. The rule is based on the idea of monopole charge-changing unitary operations and can be realized by two types of simple unitary operations on the original Hamiltonian. A pair of monopole charges are required to produce desired topological numbers in the three-band model. The set of rules presented here offers a way to produce lattice models of any desired Chern numbers for three-sublattice situations.

AB - A simple, general rule for generating a three-band model with arbitrary Chern numbers is given. The rule is based on the idea of monopole charge-changing unitary operations and can be realized by two types of simple unitary operations on the original Hamiltonian. A pair of monopole charges are required to produce desired topological numbers in the three-band model. The set of rules presented here offers a way to produce lattice models of any desired Chern numbers for three-sublattice situations.

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JO - Journal of the Physical Society of Japan

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Arbitrary chern number generation in the three-band model from momentum space

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