Exact edge singularities and dynamical correlations in spin-1/2 chains
Strongly Correlated Electrons
2009-11-13 v2
Abstract
Exact formulas for the singularities of the dynamical structure factor, S^{zz}(q,omega), of the S=1/2 xxz spin chain at all q and any anisotropy and magnetic field in the critical regime are derived, expressing the exponents in terms of the phase shifts which are known exactly from the Bethe ansatz solution. We also study the long time asymptotics of the self-correlation function <0|S_j^z(t)S_j^z(0)|0>. Utilizing these results to supplement very accurate time-dependent Density Matrix Renormalization Group (DMRG) for short to moderate times, we calculate S^{zz}(q,omega) to very high precision.
Keywords
Cite
@article{arxiv.0709.0960,
title = {Exact edge singularities and dynamical correlations in spin-1/2 chains},
author = {Rodrigo G. Pereira and Steven R. White and Ian Affleck},
journal= {arXiv preprint arXiv:0709.0960},
year = {2009}
}
Comments
4 pages, 1 figure, 1 table, published version