Topological Hubbard model and its high-temperature quantum Hall effect

Details Topological Hubbard model and its high-temperature quantum Hall effect Topological Hubbard model and its high-temperature quantum Hall effect

2011-10-06

arxiv.org/abs/1110.1296v2

Phys. Rev. Lett. 108, 046806 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.108.046806

The quintessential two-dimensional lattice model that describes the competition between the kinetic energy of electrons and their short-range repulsive interactions is the repulsive Hubbard model. We study a time-reversal symmetric variant of the repulsive Hubbard model defined on a planar lattice: Whereas the interaction is unchanged, any fully occupied band supports a quantized spin Hall effect. We show that at 1/2 filling of this band, the ground state develops spontaneously and simultaneously Ising ferromagnetic long-range order and a quantized charge Hall effect when the interaction is sufficiently strong. We ponder on the possible practical applications, beyond metrology, that the quantized charge Hall effect might have if it could be realized at high temperatures and without external magnetic fields in strongly correlated materials.

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