Relating frustrated spin models and flat bands in tight-binding models
What kind of theory paper to I enjoy? Here are some personal tastes - "simple" enough I can understand it - physical insight - some analytical results - some pretty pictures that illuminate This week I read the following paper which I consider nicely meets these criteria. Band touching from real-space topology in frustrated hopping models Doron L. Bergman, Congjun Wu, and Leon Balents The quantum spin antiferromagnetic Heisenberg model on the kagome lattice attracts a lot of attention because it may have a spin liquid ground state, for spin-1/2 and spin 1 . This is arguably driven by the large spin frustration. A reflection of this frustration is that the classical model has a non-zero entropy at zero temperature due to a manifold of degenerate states. For this reason, the kagome lattice is sometimes said to be "maximally frustrated". This is in contrast to the triangular lattice for which their is a unique classical ground state and the spin-1/2 mode