Topological Hubbard Model and Its High-Temperature Quantum Hall Effect

Titus Neupert, Luiz Santos, Shinsei Ryu, Claudio Chamon, and Christopher Mudry
Phys. Rev. Lett. 108, 046806 – Published 24 January 2012
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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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  • Received 6 October 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.046806

© 2012 American Physical Society

Authors & Affiliations

Titus Neupert1, Luiz Santos2, Shinsei Ryu3, Claudio Chamon4, and Christopher Mudry1

  • 1Condensed Matter Theory Group, Paul Scherrer Institute, CH-5232 Villigen PSI, Switzerland
  • 2Department of Physics, Harvard University, 17 Oxford Street, Cambridge, Massachusetts 02138, USA
  • 3Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green Street, Urbana, Illinois 61801-3080, USA
  • 4Physics Department, Boston University, Boston, Massachusetts 02215, USA

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Issue

Vol. 108, Iss. 4 — 27 January 2012

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