Electron Addition Spectrum in the Supersymmetric t-J Model with Inverse-Square Interaction

Details Electron Addition Spectrum in the Supersymmetric t-J Model with Inverse-Square Interaction Electron Addition Spectrum in the Supersymmetric t-J Model with Inverse-Square Interaction

2001-02-19

arxiv.org/abs/cond-mat/0102333v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 1 figure, accepted for publication in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.86.3096

The electron addition spectrum A^+(k,omega) is obtained analytically for the one-dimensional (1D) supersymmetric t-J model with 1/r^2 interaction. The result is obtained first for a small-sized system and its validity is checked against the numerical calculation. Then the general expression is found which is valid for arbitrary size of the system. The thermodynamic limit of A^+(k,omega) 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,omega) in the (k,omega) plane includes a delta-function peak which reduces to that of the single-electron band in the low-density limit.

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