Complex charge density waves at Van Hove singularity on hexagonal lattices: Haldane-model phase diagram and potential realization in the kagome metals <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>A</mml:mi><mml:msub><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mi>Sb</mml:mi></mml:mrow><mml:mn>5</mml:mn></mml:msub></mml:math> (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>A</mml:mi></mml:math>=K, Rb, Cs)

Abstract

The recent discovery of topological charge density waves in the superconducting kagome metals $A$V${}_{3}$Sb${}_{5}$ ($A$=K, Rb, Cs) has attracted enormous attention. Motivated by the experiments, the authors analyze here the interplay of real and imaginary charge density waves at the Van Hove singularity, but in a broader scope of general hexagonal lattices. Phenomenological analysis uncovers a rich Haldane-model phase diagram. The theoretical model sheds light on the experimental observations in these kagome metals and future experiments of hexagonal lattice materials.

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