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Bulletin of the American Physical Society

Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain material CuSO$_4$.5D$_2$O

Martin Mourigal, M. Enderle, Axel Kl opperpieper, Jean-S 'ebastien Caux, Anne Stunault, Henrik R Onnow

Published Mar 4, 2014• 0 citations
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Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain material CuSO4_44​.5D2_22​O
We report the experimental observation of a shift of the boundaries of the spinon continuum caused by a Fermiliquid interaction of spinons in the spin-liquid S 1a2 chaintype antiferromagnet K 2 CuSO 4 Br 2 .The parameter of spinon interaction, which determines the probability of backscattering, is found.In the pseudospin S 1a2 chain-type strongly anisotropic antiferromagnet Cs 2 CoCl 4 , a shift in the magnetic resonance frequency is detected during the crossover from the disordered spin regime to the state of correlated XXZ-type spin chains at a temperature above the emergence of longrange antiferromagnetic order.This resonance shift is explained on the basis of the spectrum of spin excitations in correlated XXZ chains and corresponds to theoretical simulation of the spectra of spinon-type magnetic fluctuations in XXZ chains [P.Laurell et al.Phys.Rev. Lett.127 037201 (2021)].
The excitations of the Heisenberg antiferromagnetic spin chain in zero field are known as spinons. As pairwise-created fractionalized excitations, spinons are important in the understanding of inelastic neutron scattering experiments in (quasi-)one-dimensional materials. In the present paper, we consider the real space-time dynamics of spinons originating from a local spin flip on the antiferromagnetic ground state of the (an)isotropic Heisenberg spin-1/2 model and the Babujan-Takhtajan spin-1 model. By utilizing algebraic Bethe ansatz methods at finite system size to compute the expectation value of the local magnetization and spin-spin correlations, spinons are visualized as propagating domain walls in the antiferromagnetic spin ordering with anisotropy dependent behavior. The spin-spin correlation after the spin flip displays a light cone, satisfying the Lieb-Robinson bound for the propagation of correlations at the spinon velocity.