# Characterizations of topological superconductors: Chern numbers, edge states and Majorana zero modes

@article{Liu2017CharacterizationsOT, title={Characterizations of topological superconductors: Chern numbers, edge states and Majorana zero modes}, author={Xiao-Ping Liu and Yuan Zhou and Yi-Fei Wang and Chang-de Gong}, journal={arXiv: Mesoscale and Nanoscale Physics}, year={2017} }

The topological properties in topological superconductors are usually characterized by the bulk Chern numbers, edge-state spectra, and Majorana zero modes. Whether they are equivalent or inequivalent is not well understood. Here, we investigate this issue with focus on a checkerboard-lattice model combining the Chern insulator and chiral $p$-wave superconductivity. Multiple topologically superconducting phases with Chern numbers up to $\mathcal{N}=4$ are produced. We explicitly demonstrate the…

## 5 Citations

Topological magnons in the antiferromagnetic checkerboard lattice

- Physics
- 2020

Abstract Topological magnon excitations have attracted much attention in the latter years, and have become a very active area of research. Motivated by this, we investigate here spin Hall and thermal…

Generalization of Bloch's theorem for arbitrary boundary conditions: Interfaces and topological surface band structure

- Physics, MathematicsPhysical Review B
- 2018

We describe a method for exactly diagonalizing clean $D$-dimensional lattice systems of independent fermions subject to arbitrary boundary conditions in one direction, as well as systems composed of…

Surface spectra of Weyl semimetals through self-adjoint extensions

- Physics, Mathematics
- 2018

We apply the method of self-adjoint extensions of Hermitian operators to the low-energy, continuum Hamiltonians of Weyl semimetals in bounded geometries and derive the spectrum of the surface states…

Fermi Arc Criterion for Surface Majorana Modes in Superconducting Time-Reversal Symmetric Weyl Semimetals.

- Medicine, PhysicsPhysical review letters
- 2021

If each constant-k_{z} plane, where z is the vortex axis, contains equal numbers of Weyl nodes of each chirality, a generically gapped vortex is predicted and a topological invariant ν=±1 is derived in terms of the Fermi arc structure that signals the presence or absence of surface Majorana fermions.

Interplay of Magnetism and Topological Superconductivity in Bilayer Kagome Metals.

- Physics, MedicinePhysical review letters
- 2020

This work uses a multistage minimal modeling of the magnetic bands progressively closer to the Fermi energy and shows that dimensional confinement naturally exposes the flatness of band structure associated with the bilayer kagome geometry in a resultant ferromagnetic Chern metal.

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