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Depending on the active degrees of freedom, different types of collective modes can arise in a FQH state. In this work, we consider spinful FQH states in the lowest Landau level (LLL) along the Jain sequence of fillings $\\nu{=}n/(2n{\\pm}1)$ and compute the Coulomb dispersion of their spin-flip and spin-conserving collective modes in the spherical geometry. We use the LLL-projected density-wave and composite fermion (CF) exciton states as trial wave functions for these modes. 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Balram, Rakesh K. Dora","submitted_at":"2025-09-16T13:57:39Z","abstract_excerpt":"Collective modes capture the dynamical aspects of fractional quantum Hall (FQH) fluids. Depending on the active degrees of freedom, different types of collective modes can arise in a FQH state. In this work, we consider spinful FQH states in the lowest Landau level (LLL) along the Jain sequence of fillings $\\nu{=}n/(2n{\\pm}1)$ and compute the Coulomb dispersion of their spin-flip and spin-conserving collective modes in the spherical geometry. We use the LLL-projected density-wave and composite fermion (CF) exciton states as trial wave functions for these modes. To evaluate the dispersion of de"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We find that the CF excitons provide an accurate description of the collective modes at all wavelengths, while the density-wave states fail to do so. Specifically, the spin-flip density wave reliably captures the spin-flip collective mode only for the Laughlin and Halperin states, and that too only in the long-wavelength limit.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The LLL-projected density-wave and CF exciton states serve as sufficiently accurate trial wave functions for the collective modes, allowing their Coulomb dispersions to be extracted from the numerically computed static structure factor via the derived commutation algebra (abstract).","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"CF exciton trial states accurately describe collective mode dispersions in spinful Jain-sequence FQH states at all wavelengths, while density-wave states fail except in limited cases, and a parton mode ansatz is proposed for spin-singlet states.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Composite fermion excitons accurately describe the dispersions of spin-flip and spin-conserving collective modes at all wavelengths in spinful fractional quantum Hall states.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"b39cdc7235268132c981d875240698904c52fdc4cce1de7898cbd9273bef9ba9"},"source":{"id":"2509.13100","kind":"arxiv","version":3},"verdict":{"id":"7d7a2c31-1711-45e3-b354-d0238b65fbf1","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-18T16:15:50.182235Z","strongest_claim":"We find that the CF excitons provide an accurate description of the collective modes at all wavelengths, while the density-wave states fail to do so. 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