Tunneling and orthogonality catastrophe in the topological mechanism of superconductivity

TL;DR

This paper investigates the topological aspects of superconductivity, focusing on tunneling, orthogonality catastrophe, and the angular dependence of the order parameter in a doped Mott insulator model.

Contribution

It introduces a model demonstrating topological superconductivity with a novel operator algebra for computing correlation functions.

Findings

Ground states with odd particle number are orthogonal.

The order parameter is in the d-wave representation.

The electronic spectrum gap has no nodes.

Abstract

We compute the angular dependence of the order parameter and tunneling amplitude in a model exhibiting topological superconductivity and sketch its derivation as a model of a doped Mott insulator. We show that ground states differing by an odd number of particles are orthogonal and the order parameter is in the d-representation, although the gap in the electronic spectrum has no nodes. We also develop an operator algebra, that allowes one to compute off-diagonal correlation functions.