{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"0a884a0e744f433124b02ceff9eca71f30ccb69052fd382f0c9cd1ef0e94fa52","created":"2026-10-03T07:18:01Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"0bba3ac4d144fd76507838fd06ce8c7396a686db3d23eafe3e1ec8051eac8a4a","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"cm.wigner-crystal-2d.field-induced-melting","kind":"well-posed","literature_status":"open","n":"1","parents":[],"plain":"A strong perpendicular magnetic field shrinks electron orbits and favors a crystal at low filling, but fractional quantum Hall liquids compete with it. How the system passes between the two, and whether unusual intermediate states appear, is open.","posed_since":"","precise":"In high-mobility GaAs and graphene 2D systems at Landau-level filling $\\nu$ between $1/7$ and $1/3$, insulating phases interpreted as pinned Wigner crystals reenter between fractional quantum Hall states, e.g. near $\\nu = 1/5$. Determine the $T = 0$ phase diagram in $(\\nu, r_s)$ including Landau-level mixing, the order of the crystal to liquid transitions, and whether intermediate phases (Hall crystals, crystals of composite fermions) exist.","problem_ref":null,"references":"","settled_by":"Local imaging and thermodynamic measurements across $\\nu$ near $1/5$, matched to variational or DMRG calculations that include Landau-level mixing.","status_note":"Scanning tunneling microscopy in Bernal bilayer graphene directly imaged a magnetic-field-induced Wigner crystal (Tsui et al., Nature 628, 287, 2024); its transitions to neighboring quantum Hall liquids are under study.","title":"How does the field-induced Wigner crystal melt into quantum Hall 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