Exact electron addition spectrum in 1D supersymmetric t-J model with 1/r2 interaction

M. Arikawa, T. Yamamoto, Y. Saiga, Y. Kuramoto

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


The electron addition spectrum A+ (k, ω) is obtained analytically for the one-dimensional supersymmetric t-J model with 1/r2 interaction. The spectral function A+ (k, ω) has a simple analytic form with contributions from one spinon, one holon and one antiholon all of which obey fractional statistics. The upper edge of A+ (k, ω) in the (k, ω) plane includes a delta-function peak which reduces to that of the single-electron band in the low-density limit. This peak is interpreted as a result of spin-charge recombination. Our derivation relies on the ideas of Yangian highest weight states and Jack polynomials adapted to the SU(1,1) supersymmetry.

Original languageEnglish
Pages (from-to)380-418
Number of pages39
JournalNuclear Physics B
Issue number3
Publication statusPublished - 2004 Dec 13


  • Electron addition spectrum
  • Fractional statistics
  • Luttinger liquid
  • Supersymmetric t-J model
  • Sutherland model

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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