Mirror symmetry decomposition in double-twisted multilayer graphene systems

Ding, Shi-Ping; Liang, Miao; Ma, Zhen; Lü, Jing-Tao; Gao, Jin-Hua

doi:10.1103/physrevb.108.195119

Phys. Rev. B

2023

DOI: 10.1103/physrevb.108.195119

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Mirror symmetry decomposition in double-twisted multilayer graphene systems

Shi-Ping Ding,

Miao Liang,

Zhen Ma

et al.

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2024

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Cited by 1 publication

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Energy spectrum theory of incommensurate systems

He,

Guo,

et al. 2024

National Science Review

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Due to the lack of the translational symmetry, calculating the energy spectrum of an incommensurate system has always been a theoretical challenge. Here, we propose a natural approach to generalize the energy band theory to the incommensurate systems without reliance on the commensurate approximation, thus providing a comprehensive energy spectrum theory of the incommensurate systems. Except for a truncation dependent weighting factor, the formulae of this theory are formally almost identical to that of the Bloch electrons, making it particularly suitable for complex incommensurate structures. To illustrate the application of this theory, we give three typical examples: one-dimensional bichromatic and trichromatic incommensurate potential model, as well as a moiré quasicrystal. Our theory establishes a fundamental framework for understanding the incommensurate systems.

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Energy spectrum theory of incommensurate systems

He,

Guo,

et al. 2024

National Science Review

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Mirror symmetry decomposition in double-twisted multilayer graphene systems

Cited by 1 publication

References 108 publications

Energy spectrum theory of incommensurate systems

Energy spectrum theory of incommensurate systems

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