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

Tarun Kanti Ghosh·G. Baskaran
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Abstract

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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Tarun Kanti Ghosh, G. Baskaran. 2001-09-11. Modelling Two-Roton Bound State Formation in Fractional Quantum Hall System. https://doi.org/10.1103/physrevlett.87.186803

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