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Approximate two-body generating Hamiltonian for the particle-hole Pfaffian wave function

Journal Article · · Physical Review. B
 [1]
  1. Eidgenoessische Technische Hochschule (ETH), Zurich (Switzerland); Princeton University, NJ (United States); OSTI
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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. Here 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.
Research Organization:
Princeton University, NJ (United States)
Sponsoring Organization:
Swiss National Science Foundation; USDOE Office of Science (SC)
Grant/Contract Number:
SC0002140
OSTI ID:
1979694
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 24 Vol. 104; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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