315 citations · 3.1k across the 59 of their papers we have counts for
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Bloch and Bethe ansatze for the Harper model: A butterfly with a boundary
Qiao-Ru Xu, Emilio Cobanera, Gerardo Ortiz
Based on a recent generalization of Bloch's theorem, we present a Bloch ansatz for the Harper model with an arbitrary rational magnetic flux in various geometries, and solve the as…
Many-body characterization of topological superconductivity: The Richardson-Gaudin-Kitaev chain
Gerardo Ortiz, Jorge Dukelsky, Emilio Cobanera +2
What distinguishes trivial from topological superluids in interacting many-body systems where the number of particles is conserved? Building on a class of integrable pairing Hamilt…
Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study
V. Melik-Alaverdian, N. E. Bonesteel, G. Ortiz
A generalized diffusion Monte Carlo method for solving the many-body Schrödinger equation on curved manifolds is introduced and used to perform a `fixed-phase' simulation of the fr…