We consider the interacting, spin-conserving, extended Kane-Mele-Hubbard model, and we rigorously establish the exact quantization of the edge spin conductance and the validity of the helical Luttinger liquid relations for Drude weights and susceptibilities. Our analysis takes fully into account lattice effects, typically neglected in the helical Luttinger model approximation, which play an essential role for universality. The analysis is based on exact renormalization-group methods and on a combination of lattice and emergent Ward identities, which enable the emergent chiral anomaly to be related with the finite renormalizations due to lattice corrections.
|Titolo:||Spin Hall insulators beyond the helical Luttinger model|
|Parole Chiave:||electronic, optical and magnetic materials; condensed matter physics|
|Settore Scientifico Disciplinare:||Settore MAT/07 - Fisica Matematica|
|Data di pubblicazione:||26-dic-2017|
|Digital Object Identifier (DOI):||10.1103/PhysRevB.96.245135|
|Appare nelle tipologie:||01 - Articolo su periodico|