Calculation of Pauli spin susceptibility for the single-hole problem based on the spin-polaron model

Abstract

Spin susceptibility in magnetic systems has been quite extensively treated in several formulations. The magnetic susceptibility of solids depends largely on the magnetic state. If a solid is spontaneously magnetized, any weak external magnetic field will not change its magnetization. It is well known that a solid in a magnetic state possesses long-range order. However, certain difficulties present themselves when magnetic order breaks down, or reduces to intermediate-to-short-range order, as in the case of doped magnetic systems such as spin ladders, semiconductors, and high temperature superconductors. This loss of long-range order gives rise to many opportunities to study new physics in disordered magnetic systems.
In this work, we shall treat the Pauli paramagnetic spin susceptibility for a single hole in an antiferromagnetic lattice in the spin polaron formulation, in which a system with a single hole is doped into a quantum Heisenberg antiferromagnet.