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

TL;DR

This paper presents a mean-field calculation of the odd-resonating-valence-bond (ORVB) pairing scheme, revealing a unique gapless superconducting state with broken symmetries and distinct quasiparticle excitation energies.

Contribution

It introduces a novel mean-field approach to ORVB pairing, showing its unique excitation spectrum and symmetry-breaking features compared to traditional pairing symmetries.

Findings

Distinct quasiparticle excitation energy $E_k$ different from known pairing symmetries.

The ground state breaks parity and time-reversal symmetries.

The theory describes a gapless superconductor with a well-defined Fermi surface.

Abstract

We give a mean-field calculation for the odd-resonating-valence-bond ORVB pairing scheme. We obtain interesting quasi-particle excitation energy $E_{\bf k}$ as a function of momentum ${\bf k}$. 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_{\bf k}\neq E_{-{\bf k}} $. It is interesting to find out if such pairing order-parameter scheme exits in some materials in nature.