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Competing chiral and multipolar electric phases in the extended Falicov-Kimball model

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arxiv 1010.2040 v1 pith:24VYI2W6 submitted 2010-10-11 cond-mat.str-el

Competing chiral and multipolar electric phases in the extended Falicov-Kimball model

classification cond-mat.str-el
keywords modelchiralelectricextendedfalicov-kimballhybridizationinterbandmultipolar
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We study the effects of interband hybridization within the framework of an extended Falicov-Kimball model with itinerant $c$ and $f$ electrons. An explicit interband hybridization breaks the U(1) symmetry associated with the conservation of the difference between the total number of particles in each band. As a result, the degeneracy between multipolar electric and chiral orderings is lifted. We analyze the weak- and strong-coupling limits of the $c$-$f$ electron Coulomb interaction at zero temperature, and derive the corresponding mean-field quantum phase diagrams at half-filling for a model defined on a square lattice.

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