Electron Addition Spectrum in the Supersymmetric t-J Model with Inverse-Square Interaction
Strongly Correlated Electrons
2009-11-07 v1 Statistical Mechanics
Abstract
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.
Cite
@article{arxiv.cond-mat/0102333,
title = {Electron Addition Spectrum in the Supersymmetric t-J Model with Inverse-Square Interaction},
author = {Mitsuhiro Arikawa and Yasuhiro Saiga and Yoshio Kuramoto},
journal= {arXiv preprint arXiv:cond-mat/0102333},
year = {2009}
}
Comments
5 pages, 1 figure, accepted for publication in Phys. Rev. Lett