Excitation spectrum of a two-dimensional long-range Bose liquid with supersymmetry

@article{Mozgunov2011ExcitationSO,
  title={Excitation spectrum of a two-dimensional long-range Bose liquid with supersymmetry},
  author={Evgeny Mozgunov and Mikhail V. Feigel’man},
  journal={Physical Review B},
  year={2011},
  volume={83}
}
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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