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arXiv · 2208.00019

Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains

Imke Schneider·Ipsita Mandal·Polina Matveeva·Dominik Strassel·Sebastian Eggert
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Abstract

The asymptotic dynamical correlation functions in one-dimensional spin chains are described by power-laws. The corresponding exponents characterize different bulk and boundary critical behavior. We present novel results for the logarithmic contribution to the boundary correlations of an isotropic Heisenberg chain. The exponent of the logarithm, $\lambda=1$, is derived using a renormalization group technique. We confirm our analytical results by comparing with numerical quantum Monte Carlo data.

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Imke Schneider, Ipsita Mandal, Polina Matveeva, Dominik Strassel, Sebastian Eggert. 2022-07-29. Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains. https://doi.org/10.1103/physrevb.106.155104

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