Spin-wave condensation and quantum melting of long-range antiferromagnetic order in t-J model

TL;DR

This paper investigates the ground state of the 2D t-J model near half filling, revealing a connection between Cooper pair condensation and spin-liquid formation, with detailed calculations of magnetic excitations and correlations.

Contribution

It introduces a detailed analysis of the ground state, linking superconducting pairing with spin-liquid states, and provides calculations of magnetic excitation spectra and correlations.

Findings

Cooper pair condensation is closely linked to spin-wave condensation.

Calculated spin-wave gap pseudo-gap $Delta_M$ and magnetic correlation length xi_M.

Identified features of the static magnetic formfactor $S_M(f q)$.

Abstract

Ground state wave function of two-dimensional t-J model is found at doping close to half filling. It is shown that the condensation of Cooper pairs (superconducting pairing of mobile holes) and the condensation of spin-waves into spin-liquid state are closely connected. The effective spectrum of $S=1$ excitations, spin-wave gap pseudo-gap $\Delta_M$, magnetic correlation length $\xi_M$, and static magnetic formfactor $S_M(\bf q)$ are calculated.