Holon-pair boson theory based on the U(1) and SU(2) slave-boson approaches to the t-J Hamiltonian

TL;DR

This paper develops a comprehensive holon-pair boson theory based on U(1) and SU(2) slave-boson approaches to explain high-temperature superconductivity in cuprates, predicting phase diagram features and physical properties consistent with experiments.

Contribution

It introduces a detailed holon-pair boson model that captures the interplay of spin and charge, explaining key phenomena in high $T_c$ cuprates with novel theoretical insights.

Findings

Predicts arch-shaped $T_c$ dome consistent with experiments

Shows universal parabolic scaling of $T^*/T_c$ with doping

Reproduces physical properties like superfluid weight and spectral functions

Abstract

To supplement our recent brief report on the theory of holon-pair boson approach to the t-J Hamiltonian [S.-S. Lee and Sung-Ho Suck Salk, Phys. Rev. B {\bf 64}, 052501(2001)], in this paper we present a full exposure to the theory, detailed physical implications and predicted various physical properties of high $T_c$ cuprates. We discuss the significance of coupling (interplay) between the spin and charge degrees of freedom in the Heisenberg interaction term of the t-J Hamiltonian. We discuss its importance in causing the arch-shaped superconducting transition temperature $T_c$ and the pseudogap (spin gap) temperature $T^*$ tangential to $T_c$ in the overdoped region in the observed phase diagram of high $T_c$ cuprates. A universal parabolic scaling behavior of $T^*/T_c$ (or $T_c/T^*$) with hole doping concentration is predicted in agreement with observations, indicating that there exists correlation between the pseudogap (spin gap) phase and the superconducting phase through antiferromagnetic fluctuations. Our proposed holon-pair boson theory is shown to be self-consistent in that it not only yields the arch (dome) shape structure of $T_c$ but also reproduces various other physical properties such as superfluid weight, bose condensation energy, spectral function, optical conductivity and spin susceptibility, including their temperature and doping dependence.