Holon Pair Bose Condensation in High $T_c$ Cuprates; Symmetry Breaking and Supersymmetry Conditions

TL;DR

This paper explores bose condensation in high-temperature cuprates using the t-J Hamiltonian, highlighting symmetry breaking with d-wave pairing and proposing conditions for supersymmetry involving spinon and holon pairing.

Contribution

It introduces a supersymmetry framework in the context of high $T_c$ cuprates and analyzes symmetry breaking with d-wave pairing using the slave-boson approach.

Findings

Symmetry breaking occurs with d-wave but not s-wave pairing.

Supersymmetry conditions may exist between spinon and holon pairing.

Bose condensation is linked to symmetry breaking in the t-J model.

Abstract

Using the t-J Hamiltonian of U(1) slave-boson symmetry, bose condensation is discussed by showing the occurrence of symmetry breaking in the hole doped high $T_c$ cuprates. The symmetry breaking is shown to take place with the d-wave hole pairing, but not with the s-wave hole pairing. Based on a derived supersymmetry Hamiltonian we find that there exists a possibility of supersymmetry conditions in association with the pairing order parameters of both spinon and holon.