“Quantum Geometric Nesting” and Solvable Model Flat-Band Systems
Zhaoyu Han,
Jonah Herzog-Arbeitman,
B. Andrei Bernevig
et al.
Abstract:We introduce the concept of “quantum geometric nesting” (QGN) to characterize the idealized ordering tendencies of certain flat-band systems implicit in the geometric structure of the flat-band subspace. Perfect QGN implies the existence of an infinite class of local interactions that can be explicitly constructed and give rise to solvable ground states with various forms of possible fermion bilinear order, including flavor ferromagnetism, density waves, and superconductivity. For the ideal Hamiltonians constr… Show more
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