Spectral determinant method for interacting N-body systems including impurities

Z. Á Németh, J. Cserti, G. Vattay

Research output: Contribution to journalArticle


A general expression for the Green's function of a system of N particles (bosons/fermions) interacting by contact potentials, including impurities with Dirac-delta-type potentials, is derived. In one dimension for N>2 bosons from our spectral determinant method the numerically calculated energy levels agree very well with those obtained from the exact Bethe ansatz solutions while they are an order-of-magnitude more accurate than those found by direct diagonalization. For N = 2 bosons the agreement is shown analytically. In the case of N = 2 interacting bosons and one impurity, the energy levels are calculated numerically from the spectral determinant of the system. The spectral determinant method is applied to an interacting fermion system including an impurity to calculate the persistent current at the presence of magnetic field.

Original languageEnglish
Article number195119
Pages (from-to)1951191-19511915
Number of pages17560725
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number19
Publication statusPublished - May 15 2002

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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