On the magneto-roton gap and the Laughlin state stability

Details On the magneto-roton gap and the Laughlin state stability On the magneto-roton gap and the Laughlin state stability

1998-07-06

arxiv.org/abs/cond-mat/9807074v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 1 figure

Scientific paper

It is argued that the Girvin, MacDonald and Platzman (GMP) evaluation of the magneto-roton spectrum, in spite of probably being a sensible estimate of the excitation spectrum around the real ground state, is not implying the variational stability of the Laughlin state. The suplementary corrections needed to produce a variational calculation around the Laughlin state at 1/3 value of the filling factor are evaluated approximately. The results indicate, within the considered approximation, the existence of lower lying states for a range of wavevector values.

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