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Résumé |
Kubo formulas in hyperspace are convenient starting point for deriving computable
expressions for transport coefficients of general lattice Hamiltonians. These include:
(i) Continued fractions expansion of dynamical conductivities, (ii) Static
(thermodynamic) formulas for DC Hall and thermal Hall coefficients, and (iii) On-shell
formulas for Hall and thermal Hall conductivities. The latter are expressed as commutators
of degeneracy-projected polarizations. The new formulas expose general properties of Hall
and thermal Hall current carrying states in bulk-gapped and gapless metallic phases.
Refs:
1. Noga Bashan, Assa Auerbach, arXiv:2108.11372
2. A. Auerbach, Phys. Rev. B 99, 115115 (2019).
3. Netanel H. Lindner and Assa Auerbach, Phys. Rev. B81, 054512-14, (2010). |
