Towards Triplet Superconductivity by Density Matrix Embedding Theory

The Density Matrix Embedding Theory (DMET) has been successfully applied to the singlet superconductivity in strongly correlated models and realistic materials, but its potential in understanding the complexity of triplet superconductivity (TSC) has not been exploited yet. Here we show how to directly extend the DMET framework to the case of quasi-particle symmetry breaking, which is necessary to generate the TSC. We study the Hubbard model with Kanamori interaction and find several patterns of TSC order parameters, which are physically associated to the parent-phase properties. The comparison with previous works of Dynamic Mean-field Theory suggests that the DMET method achieves the qualitative consistency between cluster methods for triplet superconductivity. Our work highlights the importance of DMET to understand the TSC mechanism from the microscopic view, which will be continued in the ab-initio materials in the future.