Topological Majorana Lattice Model: Induced "Topological Superconductor" on Topological Superconductor with Vortex-lattice

TL;DR

This paper introduces a topological Majorana lattice model to describe an s-wave topological superconductor with a vortex lattice, revealing a holographic correspondence and confirming predictions through numerical calculations.

Contribution

It proposes a novel Majorana lattice model that captures the topological superconducting state with vortex lattices, highlighting a holographic relationship.

Findings

Majorana lattice model accurately describes the topological superconductor

Numerical results confirm the theoretical holographic correspondence

The model reveals new insights into vortex-lattice topological states

Abstract

In this paper we study an s-wave topological SC with a square vortex-lattice. We proposed a topological Majorana lattice model to describe this topological state. We found that the Majorana lattice model is really a "topological SC" on the parent topological SC. Such correspondence between the Majorana lattice model and the topological SC with vortex-lattice is another holographic feature of the topological state. In addition, the numerical calculations confirm our theoretical prediction.