Using the spin-hole coherent state representation and taking a long range antiferromagnetic N\`{e}el order as a background of the localized spin degree part, we have studied the normal state behavior of the t-J model, and shown that a strongly short-range antiferromagnetic correlation of the localized spin degree part is responsible for the anomalous non-Korringa-like relaxation behavior of the planar copper spin, the Korringa-like behavior of the planar oxygen spin may derive from the charge… Expand

Using the spin-hole coherent state representation, and taking the long range antiferromagnetic N\'{e}el order as the background of the spin degree part, we have studied the magnetic behavior of the… Expand

The effect of a strongly fluctuating gauge field on a degenerate Bose liquid, relevant to the charge degrees of freedom in doped Mott insulators, is studied, finding a transport relaxation rate of the order of 2kT, consistent with the normal state of the cuprate superconductors.Expand

We propose a simple model Hamiltonian to describe the normal state of cuprate superconducting materials. In this model the holes with single occupation constraint introduced by doping move in an… Expand

Statistical mechanics and quantum field theory asymptotic freedom and the renormalization group the strong coupling expansion instantons in Abelian systems Quark confinement, superfluidity,… Expand