Interaction-driven topological and nematic phases on the Lieb lattice

Details Interaction-driven topological and nematic phases on the Lieb lattice Interaction-driven topological and nematic phases on the Lieb lattice

2011-12-25

arxiv.org/abs/1112.5789v1

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 12 figures

Scientific paper

We show that topological states are often developed in two dimensional semimetals with quadratic band crossing points (BCPs) by electron-electron interactions. To illustrate this, we construct a concrete model with the BCP on an extended Lieb lattice and investigate the interaction-driven topological instabilities. We find that the BCP is marginally unstable against infinitesimal repulsions. Depending on the interaction strengths, topological quantum anomalous/spin Hall, charge nematic, and nematic-spin-nematic phases, develop separately. Possible physical realizations of quadratic BCPs are provided.

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