Braiding rule of boundary Majorana-like zero mode

Qiyun Ma; Hailong He; Meng Xiao; Zhengyou Liu

doi:10.48550/arxiv.2501.00749

Paper details

Research paper

TheoreticalComputational Multiscale

Braiding rule of boundary Majorana-like zero mode

Qiyun Ma, Hailong He, Meng Xiao, Zhengyou Liu

2025·10.48550/arxiv.2501.00749·arXiv:2501.00749

Samples

Each sample groups how it was prepared, characterized, and measured. Click a card to expand.

Finite triangular graphene lattice with vortex-texture Kekulé modulation and three armchair boundaries, used to study center and boundary MLZMs.

1 characterization2 properties2 figures

SimulatedCStudied Material

Graphene ribbon lattice with periodic x direction and large finite y direction, used to analyze boundary bands, Zak phases, and boundary domain-wall states.

1 characterization1 property2 figures

SimulatedCStudied Material

Materials

graphene

Studied Material

Also known as

Kekulé-modulated graphenevortex-texture Kekulé modulated graphene

Variables

context= boundary Majorana-like zero modes

modulation= Kekulé distortion

studied material

Why these are connected

Related documents with shared materials, methods, properties, or citations.

Braiding rule of boundary Majorana-like zero mode | Matter42 Literature

Properties

Type	Label	Value	Material	Sample	Source
Critical Modulation Phase	boundary Dirac point phase	0.873π	C	Graphene ribbon lattice with periodic x direction and large	—
Zero Energy Mode Count	number of zero-energy modes in the band gap	2	C	Finite triangular graphene lattice with vortex-texture Kekul	—
Topological Phase Shift	additional phase shift acquired by boundary MLZM	π	C	Finite triangular graphene lattice with vortex-texture Kekul	—

Properties

Type	Label	Value	Material	Sample	Source
Critical Modulation Phase	boundary Dirac point phase	0.873π	C	Graphene ribbon lattice with periodic x direction and large	—
Zero Energy Mode Count	number of zero-energy modes in the band gap	2	C	Finite triangular graphene lattice with vortex-texture Kekul	—
Topological Phase Shift	additional phase shift acquired by boundary MLZM	π	C	Finite triangular graphene lattice with vortex-texture Kekul	—

Properties

Type	Label	Value	Material	Sample	Source
Critical Modulation Phase	boundary Dirac point phase	0.873π	C	Graphene ribbon lattice with periodic x direction and large	—
Zero Energy Mode Count	number of zero-energy modes in the band gap	2	C	Finite triangular graphene lattice with vortex-texture Kekul	—
Topological Phase Shift	additional phase shift acquired by boundary MLZM	π	C	Finite triangular graphene lattice with vortex-texture Kekul	—

Properties

Type	Label	Value	Material	Sample	Source
Critical Modulation Phase	boundary Dirac point phase	0.873π	C	Graphene ribbon lattice with periodic x direction and large	—
Zero Energy Mode Count	number of zero-energy modes in the band gap	2	C	Finite triangular graphene lattice with vortex-texture Kekul	—
Topological Phase Shift	additional phase shift acquired by boundary MLZM	π	C	Finite triangular graphene lattice with vortex-texture Kekul	—

Braiding rule of boundary Majorana-like zero mode

Samples

Finite triangular graphene lattice with vortex-texture Kekulé modulation and three armchair boundaries, used to study center and boundary MLZMs.

Graphene ribbon lattice with periodic x direction and large finite y direction, used to analyze boundary bands, Zak phases, and boundary domain-wall states.

Materials

Why these are connected

Braiding rule of boundary Majorana-like zero mode

Samples

Finite triangular graphene lattice with vortex-texture Kekulé modulation and three armchair boundaries, used to study center and boundary MLZMs.

Graphene ribbon lattice with periodic x direction and large finite y direction, used to analyze boundary bands, Zak phases, and boundary domain-wall states.

Materials

Why these are connected

Braiding rule of boundary Majorana-like zero mode

Samples

Finite triangular graphene lattice with vortex-texture Kekulé modulation and three armchair boundaries, used to study center and boundary MLZMs.

Graphene ribbon lattice with periodic x direction and large finite y direction, used to analyze boundary bands, Zak phases, and boundary domain-wall states.

Materials

Why these are connected

Braiding rule of boundary Majorana-like zero mode

Samples

Finite triangular graphene lattice with vortex-texture Kekulé modulation and three armchair boundaries, used to study center and boundary MLZMs.

Graphene ribbon lattice with periodic x direction and large finite y direction, used to analyze boundary bands, Zak phases, and boundary domain-wall states.

Materials

Why these are connected

Braiding rule of boundary Majorana-like zero mode

Samples

Finite triangular graphene lattice with vortex-texture Kekulé modulation and three armchair boundaries, used to study center and boundary MLZMs.

Graphene ribbon lattice with periodic x direction and large finite y direction, used to analyze boundary bands, Zak phases, and boundary domain-wall states.

Materials

Why these are connected

Braiding rule of boundary Majorana-like zero mode

Samples

Finite triangular graphene lattice with vortex-texture Kekulé modulation and three armchair boundaries, used to study center and boundary MLZMs.

Graphene ribbon lattice with periodic x direction and large finite y direction, used to analyze boundary bands, Zak phases, and boundary domain-wall states.

Materials

Why these are connected

Braiding rule of boundary Majorana-like zero mode

Samples

Finite triangular graphene lattice with vortex-texture Kekulé modulation and three armchair boundaries, used to study center and boundary MLZMs.

Graphene ribbon lattice with periodic x direction and large finite y direction, used to analyze boundary bands, Zak phases, and boundary domain-wall states.

Materials

Why these are connected

Braiding rule of boundary Majorana-like zero mode

Samples

Finite triangular graphene lattice with vortex-texture Kekulé modulation and three armchair boundaries, used to study center and boundary MLZMs.

Graphene ribbon lattice with periodic x direction and large finite y direction, used to analyze boundary bands, Zak phases, and boundary domain-wall states.

Materials

Why these are connected

Characterization

Properties

Simulations

Characterization

Properties

Simulations

Characterization

Properties

Simulations

Characterization

Properties

Simulations