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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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Type
research article
DOI
10.1103/PhysRevB.110.045143
Web of Science ID

WOS:001275928700002

Author(s)
Herviou, Loic  

École Polytechnique Fédérale de Lausanne

Mila, Frederic  

École Polytechnique Fédérale de Lausanne

Date Issued

2024-07-23

Publisher

AMER PHYSICAL SOC

Published in
Physical Review B
Volume

110

Issue

4

Article Number

045143

Subjects

INCOMPRESSIBLE QUANTUM FLUID

•

HALL STATES

•

HIERARCHY

•

TRANSPORT

•

ORDER

•

Science & Technology

•

Technology

•

Physical Sciences

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CTMC  
FunderFunding(s)Grant NumberGrant URL

Swiss National Science Foundation (SNSF)

182179

Available on Infoscience
February 1, 2025
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/246267
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