Reactive Hall Response

Abstract

The zero temperature Hall constant R(H), described by reactive (nondissipative) conductivities, is analyzed within linear response theory. It is found that in a certain limit R(H) is directly related to the density dependence of the Drude weight, implying a simple picture for the change of sign of charge carriers in the vicinity of a Mott-Hubbard transition. This novel formulation is applied to the calculation of R(H) in quasi-one-dimensional and ladder prototype interacting electron systems.