Supercurrent density in terms of the Kubo formula in single-hole-spin problem

Abstract

Charge transport is one of the most important properties of a material. However, much of the current understanding of the theory of solids is dependent on expressions for charge transport in the absence of magnetic interactions. With the advent of newer materials such as ladder compounds, semiconductors and high temperature superconductors, an important aspect of transport theory must be reconsidered. The current density is calculated from the spin polaron Hamiltonian using the finite temperature Green's function method. The bulk of the current contribution is found to come from the transport properties of the fermionic soliton, the holon. The analytic treatment for the supercurrent density is shown here from the first-principles calculation in the spin polaron formulation and the supercurrent density is shown to come from the supercurrent correlation function.