Local Magnetization in the Impure Spin 1/2 Anisotropic Ising-Heisenberg Chains

P. Schlottmann

P. Schlottmann

Bo-Yu Hou, Kangjie Shi, Rui‐Hong Yue +1 more

Gennady Sh. Gildenblat

Hartree-Fock equations for the impure spin-\textonehalf{} Ising-Heisenberg chain are derived by using the Green-function technique in the pseudofermion representation. The self-consistency equations for the ideal spin-\textonehalf{} anisotropic Heisenberg antiferromagnet can be recovered as a specific case of the general formalism developed in the present work. In the case of the nonideal $\mathrm{XXZ}$ chain, a numerical solution of the self-consistency equations is used to describe the Friedel-type boundary on impurity-induced oscillations of the local magnetization considered previously in the spin-\textonehalf{}$\mathrm{XY}$ model.

Yoshihiko Fukui, Tsuyoshi Horiguchi, 福井 芳彦 +1 more

Mengru Ma, Yidan Zheng, Zhu Mao +1 more

We investigate the effect of impurities on the thermal entanglement in a spin-1/2 Ising–Heisenberg butterfly-shaped chain, where four interstitial Heisenberg spins are localized on the vertices of a rectangular plaquette in a unit block. By using the transfer-matrix approach, we numerically calculate the partition function and the reduced density matrix of this model. The bipartite thermal entanglement between different Heisenberg spin pairs is quantified by the concurrence. We also discuss the fluctuations caused by the impurities through the uniform distribution and the Gaussian distribution. Considering the effects of the external magnetic field, temperature, Heisenberg and Ising interactions as well as the parameter of anisotropy on the thermal entanglement, our results show that comparing with the case of the clean model, in both the two-impurity model and the impurity fluctuation model the entanglement is more robust within a certain range of anisotropic parameters and the region of the magnetic field where the entanglement occurred is also larger.