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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 andmagnetic field in the critical regime are derived, expressing the exponents interms of the phase shifts which are known exactly from the Bethe ansatzsolution. We also study the long time asymptotics of the self-correlationfunction <0|S j^ztS j^z0|0>. Utilizing these results to supplement veryaccurate time-dependent Density Matrix Renormalization Group DMRG for shortto moderate times, we calculate S^{zz}q,omega to very high precision.



Author: Rodrigo G. Pereira, Steven R. White, Ian Affleck

Source: https://arxiv.org/







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