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research article

Numerical investigation of the structure factors of the Read-Rezayi series

Herviou, Loic  
•
Mila, Frederic  
July 23, 2024
Physical Review B

We numerically investigate the guiding center structure factors of several states in the Read-Rezayi family. Using exact diagonalizations on the torus and density matrix renormalization group on an infinite cylinder, we test a conjecture proposed in Can et al. [Phys. Rev. Lett. 113, 046803 (2014)] for the nu = 35 and nu = 46 Read-Rezayi states. Furthermore, we discuss the strong finite-size effects present in numerically accessible wavefunctions, and provide a simple recipe to minimize them on manifolds where non-Abelian theories have topological degeneracies.

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