{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"12793148e9066577f35bbcb2312461154f2c7e2c297f4c39cbde0a3d8970aec7","created":"2026-10-03T07:18:01Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"6b1f925588e0a50d0773a820536ffefbe467dbcd0e6b27971cf89ba730486955","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"mechanism","assisted_by":[],"external_id":"cm.twisted-tmd.one-third-asymmetry","kind":"phenomenon","literature_status":"open","n":"1","parents":[],"plain":"In twisted MoTe2 the zero-field fractional Hall state at two thirds band filling is clear in transport while the one-third state is fragile or absent, the reverse of the ordinary fractional quantum Hall effect, where one third is the strongest.","posed_since":"2023","precise":"In twisted bilayer MoTe2 at $\\theta \\sim 3.5-3.9\\,\\mathrm{deg}$, fractional quantum anomalous Hall states are seen in transport at hole fillings $\\nu = -2/3$ and $-3/5$ of the first Chern band (Cai et al., Park et al., Zeng et al., Nature 2023), while at $\\nu = -1/3$ only optical signatures of a fragile state over a narrow displacement-field range have been reported (arXiv:2602.04561). Explain this asymmetry: mixing with the second moire band, Berry-curvature and quantum-metric inhomogeneity, or interaction-induced band renormalization favouring a charge-density wave at $1/3$. An answer is a calculation with independently fixed parameters reproducing the ground state and gap at each filling and its displacement-field range.","problem_ref":null,"references":"","settled_by":"Band-mixing-inclusive exact diagonalization or DMRG with independently fixed interaction parameters predicting the $\\nu = -1/3$ ground state and gap, checked against transport and local imaging of charge order at that filling.","status_note":"Optical evidence for a fragile $-1/3$ state appeared in 2026 (arXiv:2602.04561); several 2023-2025 calculations point to band mixing and band renormalization, without consensus as of 2026, to this survey's knowledge.","title":"Why the zero-field $1/3$ state is weaker than the $2/3$ 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