Excitation spectrum of a 2D long-range Bose-liquid with a supersymmetry

Physics – Condensed Matter – Superconductivity

Scientific paper

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6 pages, 6 figures

Scientific paper

We have studied excitation spectrum of the specfic 2D model of strongly interacting Bose particles via mapping of the many-body Schrodinger equation in imaginary time to the classical stochastic dynamics. In a broad range of coupling strength $\alpha$ a roton-like spectrum is found, with the roton gap being extremely small in natural units. A single quantum phase transition between strongly correlated supefluid and quantum Berezinsky crystal is found.

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