Modelling Two-Roton Bound State Formation in Fractional Quantum Hall System

Details Modelling Two-Roton Bound State Formation in Fractional Quantum Hall System Modelling Two-Roton Bound State Formation in Fractional Quantum Hall System

2000-12-13

arxiv.org/abs/cond-mat/0012241v2

Physical Review Letters, 87, 186803 (2001).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, REVTEX file, 3 figures, Minor changes, Accepted for publication in Physical Review Letters

Scientific paper

Composite Fermion approach using extensive and parallalized numerical analysis has recently established a two-roton bound state as the lowest energy long wavelength neutral excitation of FQHE for finite particle (N~30) system. By focussing on the "oriented dipole" character of magneto roton, we model the two roton problem and solve it variationally (analytically) to find a two-roton bound state with binding energy which is in good agreement with the composite fermion numerical results.

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