Gutzwiller approximation approach to the SU(4) $t$-$J$ model

Abstract

We develop the Gutzwiller approximation method to obtain the renormalized Hamiltonian of the SU(4) $t$-$J$ model with the corresponding renormalization factors. Subsequently, a mean-field theory is employed on the renormalized Hamiltonian of the model on the honeycomb lattice under the scenario of a cooperative condensation of carriers moving in the resonating valence bond state of flavors. In particular, we find that the extended $s$-wave superconducting state is more favorable than the $d\pm id$-wave superconducting state in the doping range close to quarter filling. The pairing states of the SU(4) case reveal the property that the spin-singlet pairing and the spin-triplet pairing can coexist simultaneously. Our results might provide new insights into the twisted bilayer graphene system.

11 pages, 4 figures; major updates; accepted for publication in Physical Review B

References in corpus (3)

• Theory of interacting electrons on the honeycomb lattice
• Superconductivity in three-dimensional spin-orbit coupled semimetals
• Correlated Dirac Particles and Superconductivity on the Honeycomb Lattice

Cited by in corpus (1)

• Ground State Phase Diagram of $\text{SU}(3)$ $t$-$J$ Chain