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Interaction-driven topological and nematic phases on the Lieb lattice

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arxiv 1112.5789 v2 pith:ELI66Y4N submitted 2011-12-25 cond-mat.str-el cond-mat.mes-hall

Wei-Feng Tsai , Chen Fang , Hong Yao , JiangPing Hu This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hall
keywords topologicalbcpsinteraction-drivenlatticeliebnematicphasesquadratic
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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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