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Topological Mott insulators.

S Raghu¹, Xiao-Liang Qi, C Honerkamp

¹Department of Physics, McCullough Building, Stanford University, Stanford, CA 94305-4045, USA.

Physical Review Letters

|June 4, 2008

Summary

This summary is machine-generated.

We explore transitions in extended Hubbard models on a honeycomb lattice, finding topological Mott phases with quantum Hall and quantum spin Hall effects due to frustrated interactions. These topological states are favored over trivial ones.

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Area of Science:

Condensed Matter Physics
Quantum Materials
Solid State Theory

Background:

Extended Hubbard models describe electron-electron interactions in materials.
Honeycomb lattices exhibit unique electronic properties due to their geometry.
Mott insulators arise from strong electron-electron repulsion.

Purpose of the Study:

Investigate transitions from semimetal to Mott insulating phases in extended Hubbard models.
Identify topological Mott phases and their associated effects.
Determine conditions favoring topological Mott insulators over trivial ones.

Main Methods:

Mean-field theory to construct the phase diagram.
Random phase approximation to include fluctuations.
Renormalization group analysis to assess state stability.

Main Results:

Discovery of topological Mott phases in honeycomb lattices with repulsive interactions.
Observation of quantum Hall effect in spinless models and quantum spin Hall effect in spin fermion models.
Renormalization group analysis confirms the stability of topological Mott phases.

Conclusions:

Frustrated second-neighbor interactions are key to realizing topological Mott phases.
Topological Mott insulators with quantum Hall and quantum spin Hall effects are achievable.
These topological states are energetically favored over trivial Mott insulators.