Approximate two-body generating Hamiltonian for the particle-hole Pfaffian wave function
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Author
Date
2021-12-15Type
- Journal Article
Abstract
We present two two-body Hamiltonians that approximate the exact particle-hole Pfaffian wave function with their ground states for all the system sizes where this wave function has been numerically constructed to date. The approximate wave functions have high overlap with the original and reproduce well the low-lying entanglement spectrum and structure factor. The approximate generating Hamiltonians are obtained by an optimization procedure where three to four pseudopotentials are varied in the neighbourhood of second Landau level Coulomb interaction or of a noninteracting model. They belong to a finite region in the variational space of Hamiltonians where each point approximately generates the particle-hole Pfaffian. We diagonalize the identified Hamiltonians for up to 20 electrons and find that for them the particle-hole Pfaffian shift appears energetically more favorable. The possibility to interpret the data in terms of composite fermions is discussed. Show more
Publication status
publishedExternal links
Journal / series
Physical Review BVolume
Pages / Article No.
Publisher
American Physical SocietySubject
Fractional quantum Hall effect; Topological phases of matter; Topological superconductors; Two-dimensional electron gas; Exact solutions for many-body systems; Machine learningOrganisational unit
03571 - Sigrist, Manfred / Sigrist, Manfred
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