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

Loïc Herviou; Frédéric Mila

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arXiv · 2402.15560

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

Loïc Herviou·Frédéric Mila

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Abstract

We numerically investigate the guiding center stucture 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 (2014)] for the $\nu = \frac{3}{5}$ and $\nu = \frac{4}{6}$ 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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Loïc Herviou, Frédéric Mila. 2024-02-23. Numerical investigation of the structure factors of the Read-Rezayi series. https://arxiv.org/abs/2402.15560

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