The supergroup U(M/N) with regard to electronic Hamiltonians

TL;DR

This paper explores the U(M/N) supergroup's relation to electronic Hamiltonians, demonstrating how its generators relate to Clifford and Fermi operators, and proposing a multi-band supersymmetric electronic model.

Contribution

It introduces a new perspective on the U(M/N) supergroup's connection to electronic Hamiltonians and proposes a novel multi-band supersymmetric electronic model.

Findings

Generators of U(N/N) can be expressed by Clifford or Fermi operators

A multi-band supersymmetric electronic model is proposed

The study links supergroup theory with electronic Hamiltonian modeling

Abstract

We study the U(M/N) supergroup keeping in mind its connection with electronic Hamiltonians. It is explicitly shown that the generators of the supergroup U(N/N) can be expressed by Clifford operators or Fermi operators. A multi-band supersymmetric electronic model is suggested.