TY - JOUR
T1 - Degeneracy-Projected Polarization Formulas for Hall-Type Conductivities
AU - Bashan, Noga
AU - Auerbach, Assa
N1 - Publisher Copyright:
© 2022 American Physical Society.
PY - 2022/1/21
Y1 - 2022/1/21
N2 - Kubo formulas for Hall, transverse thermoelectric, and thermal Hall conductivities are simplified into on-shell commutators of degeneracy projected polarizations. The new expressions are computationally economical, and apply to general Hamiltonians without a gap restriction. We show that Hall currents in open boundaries are carried by gapless chiral excitations. Extrapolation of finite lattice calculations to the dc-thermodynamic limit is demonstrated for a disordered metal.
AB - Kubo formulas for Hall, transverse thermoelectric, and thermal Hall conductivities are simplified into on-shell commutators of degeneracy projected polarizations. The new expressions are computationally economical, and apply to general Hamiltonians without a gap restriction. We show that Hall currents in open boundaries are carried by gapless chiral excitations. Extrapolation of finite lattice calculations to the dc-thermodynamic limit is demonstrated for a disordered metal.
UR - http://www.scopus.com/inward/record.url?scp=85123722067&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.128.036601
DO - 10.1103/PhysRevLett.128.036601
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C2 - 35119903
AN - SCOPUS:85123722067
SN - 0031-9007
VL - 128
SP - 036601
JO - Physical Review Letters
JF - Physical Review Letters
IS - 3
M1 - A74
ER -