Published July 30, 2025 | Version v1
Dataset Open

Data Supplement for "The numerical case for identifying non-Abelian phases by their daughters"

Creators

  • 1. EDMO icon Weismann Institute of Science
  • 2. ROR icon Weizmann Institute of Science
  • 3. ROR icon Paul Scherrer Institute

Contributors

Project leader:

  • 1. ROR icon Paul Scherrer Institute
  • 2. ROR icon Weizmann Institute of Science

Description

Overview
This Zenodo repository hosts .vec binary files in DiagHam format containing wavefunctions used in the paper “The numerical case for identifying non‑Abelian phases by their daughters” (2025).

 

📂 Files & Correspondence to Paper Figures/Sections

Filename Phase System size Description
fermions_symmetrized_apf_dtr_6_13_n_12_2s_28_lz_0.vec anti-Pfaffian quasi-hole daughter at ν = 6/13 Ne = 12, 2S = 28 Derived from parton wave function Φ_{6/13} in Eq. 1
fermions_symmetrized_apf_dtr_9_17_n_12_2s_23_lz_0.vec anti-Pfaffian quasi-particle daughter at ν = 9/17  Ne = 12, 2S = 23 Constructed via anyon-condensation Φ_{9/17} in Eq. 2
fermions_symmetrized_mr_dtr_8_17_n_12_2s_23_lz_0.vec Moore-Read quasi-hole daughter at ν = 8/17 Ne = 12, 2S = 23 Particle-hole conjugation of Φ_{9/17} (Eq. 2)
fermions_symmetrized_apf_dtr_9_17_n_12_2s_23_lz_0_phsym.vec PH‑symmetrized anti-Pfaffian QP daughter at ν = 9/17 Ne = 12, 2S = 23 PH‑symmetrized version of Φ_{9/17} (Eq. 2)
fermions_symmetrized_su22_dtr_6_11_n_18_2s_27_lz_0.vec SU(2)₂ QP daughter at ν = 6/11 Ne = 18, 2S = 27 Parton-derived Φ_{6/11} via Eq. 1
fermions_symmetrized_su22_dtr_9_19_n_12_2s_21_lz_0.vec SU(2)₂ QH daughter at ν = 9/19 Ne = 12, 2S = 21 Anyon‑condensation Φ_{9/19} following Eq. 2
fermions_symmetrized_su22_n_10_2s_15_lz_0.vec SU(2)₂ parton paired state at ν =1/2 Ne=10, 2S=15 Parton SU(2) level-2 wave function ϕ_2^2 ϕ_1
fermions_symmetrized_su22_n_12_2s_19_lz_0.vec SU(2)₂ parton paired state at ν =1/2 Ne=12, 2S=19 Parton SU(2) level-2 wave function ϕ_2^2 ϕ_1
fermions_symmetrized_su22_n_18_2s_31_lz_0.vec SU(2)₂ parton paired state at ν =1/2 Ne=18, 2S=31 Parton SU(2) level-2 wave function ϕ_2^2 ϕ_1
 

 

🛠️ Usage Instructions

  • Compatibility: All .vec files are in DiagHam’s binary format, stored using a symmetrized basis.

  • Purpose: These wave functions can be readily used with the DiagHam library, e.g., computing overlaps with the ED ground states using 

    GenericOverlap.

  • PH‑symmetry: File _phsym has been symmetrized under particle-hole conjugation, i.e., is Φ_{9/17} + ϴ Φ_{9/17}.

📚 Citation & Access

If you reuse these files in your research, please cite:

Yutushui, M. & Mross, D. F. (2025). The numerical case for identifying non‑Abelian phases by their daughters. Journal/Preprint.
This Zenodo dataset: DOI: [...]

Files

wave_functions.zip

Files (32.5 MB)

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md5:e5f69bd7391038777088b4d7e3468ce3
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