English

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

Strongly Correlated Electrons 2022-10-14 v2 Mesoscale and Nanoscale Physics Quantum Gases

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, λ=1\lambda=1, is derived using a renormalization group technique. We confirm our analytical results by comparing with numerical quantum Monte Carlo data.

Keywords

Cite

@article{arxiv.2208.00019,
  title  = {Boundary logarithmic corrections to the dynamical correlation functions of one-dimensional spin-1/2 chains},
  author = {Imke Schneider and Ipsita Mandal and Polina Matveeva and Dominik Strassel and Sebastian Eggert},
  journal= {arXiv preprint arXiv:2208.00019},
  year   = {2022}
}

Comments

15 pages with 2 figures. Final published version. For more information see https://www.physik.uni-kl.de/eggert/papers/index.html