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arxiv 2208.00019 v2 pith:UY6RG5HB submitted 2022-07-29 cond-mat.str-el cond-mat.mes-hallcond-mat.quant-gas

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 This is my paper
classification cond-mat.str-el cond-mat.mes-hallcond-mat.quant-gas
keywords boundarychainscorrelationdynamicalfunctionslogarithmicone-dimensionalresults
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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