The Hubbard model with spin orbit coupling: a lattice gauge theory approach
arXiv:1209.2844 · doi:10.1103/PhysRevB.86.064409
Abstract
We study the symmetry properties of the Hubbard model with spin-orbit interactions of Rashba and Dresselhaus type. These interactions break the rotational symmetry in spin space, so that the magnetic order cannot be excluded by using the Bogoliubov inequality method. Nevertheless, we rigorously show that the existence of the magnetic long-range orders may be ruled out when the Rashba and Dresselhaus coupling constants are equal in modulus, whereas the eta-pairing can be always ruled out, regardless of the microscopic parameters of the model. These results are obtained by imposing locally the SU(2) gauge symmetry on the lattice, and rewriting the spin-orbit interactions in such a way that they are included in the path ordered of the gauge field on lattice.
7 pages
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- Enhanced triplet superconductivity in noncentrosymmetric systems
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Cited by in corpus (4)
- U(1) symmetry of the spin-orbit coupled Hubbard model on the Kagome lattice
- Pauli metallic ground-state in Hubbard clusters with Rashba spin-orbit coupling
- Emergent chiral symmetry in non-bipartite kagome and pyrochlore lattices with spin-orbit coupling
- Cooper Pairing in A Doped 2D Antiferromagnet with Spin-Orbit Coupling