Reactive Hall constant of Strongly Correlated Electrons

Details Reactive Hall constant of Strongly Correlated Electrons Reactive Hall constant of Strongly Correlated Electrons

2001-07-12

arxiv.org/abs/cond-mat/0107247v1

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, submitted to Phys.Rev.B

Scientific paper

10.1103/PhysRevB.64.235114

The zero-temperature Hall response within tight-binding models of correlated electrons is studied. Using the linear response theory and a linearization in the magnetic field B, a general relation for the reactive (zero frequency) Hall constant in the fast (transport) limit is derived, involving only matrix elements between the lowest excited states at B=0; for noninteracting fermions, the Boltzmann expression is reproduced. For a Fermi liquid with a well defined Fermi surface and linear gapless excitations an analogous expression is found more generally. In the specific case of quasi-one-dimensional correlated systems a relation of $R^0_H$ to the charge stiffness D is recovered. Similar analysis is performed and discussed for D and the compressibility.

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