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Quantum Transport Theory of Strongly Correlated Matter
Assa Auerbach, Sauri Bhattacharyya
This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong s…
Metallic transport of hard core bosons
Sauri Bhattacharyya, Ayush De, Snir Gazit +1
Conductivities and Hall coefficients of two dimensional hard core bosons are calculated using the thermodynamic expansions of Kubo formulas. At temperatures above the superfluid tr…
Hall map and breakdown of Fermi liquid theory in the vicinity of a Mott insulator
Ilia Khait, Sauri Bhattacharyya, Abhisek Samanta +1
The Hall coefficient exhibits anomalous behavior in lightly doped Mott insulators. For strongly interacting electrons its computation has been challenged by analytical and numerica…
Degeneracy-projected polarization formulas for Hall-type conductivities
Noga Bashan, Assa Auerbach
Kubo formulas for Hall, transverse thermoelectric and thermal Hall conductivities are simplified into on-shell commutators of degeneracy projected polarizations. The new expression…
Hall coefficient of semimetals
Abhisek Samanta, Daniel P. Arovas, Assa Auerbach
A recently developed formula for the Hall coefficient [A. Auerbach, Phys. Rev. Lett. 121, 66601 (2018)] is applied to nodal line and Weyl semimetals (including graphene), and to sp…
Equilibrium Formulae for Transverse Magneto-transport of Strongly Correlated Metals
Assa Auerbach
Exact formulas for the Hall coefficient, modified Nernst coefficient, and thermal Hall coefficient of metals are derived from the Kubo formula. These coefficients depend exclusivel…