AI Article Synopsis
- The repulsive Hubbard model is a fundamental two-dimensional lattice model that explores the balance between electron kinetic energy and short-range repulsive interactions.
- In this study, we examine a time-reversal symmetric version of the model on a planar lattice, highlighting how fully occupied bands can exhibit a quantized spin Hall effect.
- At half-filling, we find that a strong interaction leads to the emergence of Ising ferromagnetic order and a quantized charge Hall effect, raising questions about potential high-temperature applications of this effect in strongly correlated materials without external magnetic fields.
Article Abstract
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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| http://dx.doi.org/10.1103/PhysRevLett.108.046806 | DOI Listing |
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