ORVB Mean-Field Calculation in the Tight-Binding Model with Anti-Ferromagnetic Exchange

Abstract

We give a mean-field calculation for the odd-resonating-valence-bond ORVB pairing scheme. We obtain interesting quasi-particle excitation energy $E_{\mathbf{k}}$ as a function of momentum $\mathbf{k}$. It is distinctively different from those of the $d_{x^2-y^2}$-wave, the anisotropic-s-wave, and the p-wave. It is a gapless theory for superconductivity with well defined Fermi surface. The ground state of the ORVB scheme is not an eigenstate of the parity or the time-reversal transformation, thus both symmetries are violated. Some of them are already manifested in $E_{\mathbf{k}}\ne E_{-\mathbf{k}}$. It is interesting to find out if such pairing order-parameter scheme exits in some materials in nature.

12 pages, uses phyzzx