Exact edge singularities and dynamical correlations in spin-1/2 chains

Details Exact edge singularities and dynamical correlations in spin-1/2 chains Exact edge singularities and dynamical correlations in spin-1/2 chains

2007-09-06

arxiv.org/abs/0709.0960v2

Phys. Rev. Lett. 100, 027206 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 1 figure, 1 table, published version

Scientific paper

10.1103/PhysRevLett.100.027206

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.

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