Topological Hubbard model and its high-temperature quantum Hall effect

Titus Neupert, Luiz Santos, Shinsei Ryu, Claudio Chamon, Christopher Mudry

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


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.

Original languageEnglish (US)
Article number046806
JournalPhysical review letters
Issue number4
StatePublished - Jan 24 2012
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


Dive into the research topics of 'Topological Hubbard model and its high-temperature quantum Hall effect'. Together they form a unique fingerprint.

Cite this