Critical Dynamics of The Classical 3-D Heisenberg Antiferromagnet with Anisotropy

Alex Bunker, David Paul Landau, Kun Chen

Shan-Ho Tsai, Alex Bunker, D.P. Landau

Y. J. Kim, R. J. Birgeneau, F. C. Chou +2 more

L.S. Lima

Hidetoshi Nishimori

The critical exponent η is calculated to order 1/S2 from the classical limit for the one-dimensional quantum anisotropic Heisenberg antiferromagnet at T=0. η of the transverse correlation function depends explicitly on S and anisotropy. Implications of the resulting values are discussed.

Jun-Han Huang, Guang-Ming Zhang, Dao‐Xin Yao

We study the dynamical spin excitations of the one-dimensional $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy by using quantum Monte Carlo simulations and stochastic analytic continuation of imaginary-time correlation function. Using the transverse dynamic spin structure factor, we observe the quantum phase transition with a critical point between the topological Haldane gapped phase and the trivial phase. At the quantum critical point, we find a broad continuum characterized by the Tomonaga-Luttinger liquid, and its dynamical signatures are similar to a $S=1/2$ Heisenberg antiferromagnetic chain. The broad continuum can be seen as a dynamical signature of spinons. We further identify that the elementary excitations are fractionalized spinons in the critical state.