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) - 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 -wave superconducting state is more favorable than the -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.
Keywords
Cite
@article{arxiv.2109.05231,
title = {Gutzwiller approximation approach to the SU(4) $t$-$J$ model},
author = {Jia-Cheng He and Jie Hou and Yan Chen},
journal= {arXiv preprint arXiv:2109.05231},
year = {2022}
}
Comments
11 pages, 4 figures; major updates; accepted for publication in Physical Review B