Fractional quantum-Hall liquid spontaneously generated by strongly correlated t_2g electrons

Details Fractional quantum-Hall liquid spontaneously generated by strongly correlated t_2g electrons Fractional quantum-Hall liquid spontaneously generated by strongly correlated t_2g electrons

2011-09-27

arxiv.org/abs/1109.5955v2

Phys. Rev. Lett. 108, 126405 (2012)

Physics

Condensed Matter

Strongly Correlated Electrons

additional material on the effective one-band model, accepted for PRL

Scientific paper

10.1103/PhysRevLett.108.126405

For topologically nontrivial and very narrow bands, Coulomb repulsion between electrons has been predicted to give rise to a spontaneous fractional quantum-Hall (FQH) state in absence of magnetic fields. Here we show that strongly correlated electrons in a t_2g-orbital system on a triangular lattice self-organize into a spin-chiral magnetic ordering pattern that induces precisely the required topologically nontrivial and flat bands. This behavior is very robust and does not rely on fine tuning. In order to go beyond mean field and to study the impact of longer-range interactions, we map the low-energy electronic states onto an effective one-band model. Exact diagonalization is then used to establish signatures of a spontaneous FQH state.

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