Emergent quadratic Fermi point with nontrivial topology in two dimensions

Details Emergent quadratic Fermi point with nontrivial topology in two dimensions Emergent quadratic Fermi point with nontrivial topology in two dimensions

2012-04-25

arxiv.org/abs/1204.5737v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures

Scientific paper

Gapless electronic systems containing topologically nontrivial Fermi points are sources of various topological insulators. Whereas most of these special band-crossing points are built in the electronic structure of the non-interacting lattice models, we show that a quadratic Fermi point characterized by a non-zero winding number emerges with a collinear triple-Q spin-density-wave state that arises from a perfectly nested but topologically trivial Fermi surface. We obtain a universal low-energy Hamiltonian for the quadratic Fermi point and show that such collinear orderings are unstable against the onset of scalar spin chirality that opens a gap and induces a spontaneous quantum Hall insulator as the temperature tends to zero.

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