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arXiv:cond-mat/9906426 · Physical review. B, Condensed matter

Local magnetic structure due to inhomogeneity of interaction in S=12 antiferromagnetic chains

Masamichi Nishino, Hiroaki Onishi, Pascal Roos, Kizashi Yamaguchi, Seiji Miyashita

Published Feb 1, 2000• 25 citations
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Abstract

We study the magnetic properties of $S=1/2$ antiferromagnetic Heisenberg chains with inhomogeneity of interaction. Using a quantum Monte Carlo method and an exact diagonalization method, we study the bond-impurity effect in the uniform $S=1/2$ chain. Here ``bond impurity'' means a bond with a strength different from those in the bulk. In particular, by calculating the local magnetization, the local susceptibility, and the local field susceptibility, the temperature dependence of local magnetic structures induced by bond impurities is investigated. We also investigate the force acting between bond impurities and find that the force is attractive.

DOI
10.1103/physrevb.61.4033

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We study the magnetic properties of S=1/2S=1/2S=1/2 antiferromagnetic Heisenberg chains with inhomogeneity of interaction. Using a quantum Monte Carlo method and an exact diagonalization method, we study the bond-impurity effect in the uniform S=1/2S=1/2S=1/2 chain. Here ``bond impurity'' means a bond with a strength different from those in the bulk. In particular, by calculating the local magnetization, the local susceptibility, and the local field susceptibility, the temperature dependence of local magnetic structures induced by bond impurities is investigated. We also investigate the force acting between bond impurities and find that the force is attractive.
We study the effect of inhomogeneities of the lattice in the S=1/2S=1/2S=1/2 bond-alternating chain by using a quantum Monte Carlo method and an exact diagonalization method. We adopt a defect in the alternating order as the inhomogeneity and we call it ``bond impurity.'' Local magnetic structures induced by the bond impurities are investigated both in the ground state and at very low temperatures. The local magnetic structure can be looked on as an effective S=1/2S=1/2S=1/2 spin and the weakness of the interaction between the local structures causes the quasidegenerate states in the low energy. We also investigate the force acting between bond impurities and find that the force is generally attractive. We also study the dynamical property of the local magnetic structure. While the local magnetic structure behaves as an isolated S=1/2S=1/2S=1/2 spin in the response to a time-dependent uniform field, it is found to be robust against the effect of noise applied at each site individually in the sweeping field.
We calculate the effects of a single impurity in antiferromagnetic quantum spin-1/2 chains with the help of one-dimensional quantum field theory and renormalization group tech niques in the low temperature limit. We are able to present numerical evidence from ex act diagonalization, numerical Bethe ansatz, and quantum Monte Carlo methods, which support our findings. Special emphasis has been put on impurity effects on the local susceptibility in the chain, because of the experimental relevance of this quantity. We propose a muon spin resonance experiment on quasi one-dimensional spin compounds, which may show some of the impurity effects.
We study the effect of anisotropy of spin-SSS impurities on an antiferromagnetic SU(2) Heisenberg chain. The magnetic impurities are assumed to have an XXZ-type anisotropic exchange with their neighboring sites. First, using density-matrix renormalization group technique, we examine spin-spin correlation function, instability of N\'eel order, and local spin susceptibility in the presence of a single spin-SSS impurity. Based on the results, we find that the types of spin-SSS impurities are classified into two groups: (i) nonmagnetic and S=1S=1S=1 impurities enhance only short-range antiferromagnetic correlation and (ii) S=12S=\frac{1}{2}S=21​ and S>1S>1S>1 impurities can, in contrast, stabilize a long-range N\'eel order in the disordered SU(2) Heisenberg chain. Then, we focus on the case of S=12S=\frac{1}{2}S=21​ impurity as a representative of (ii) and investigate the evolution of some experimentally observable quantities such as magnetization, specific heat, and magnetic susceptibility, as a function of concentration and XXZ anisotropy strength of the impurity. We confirm that the N\'eel order is induced in the bulk spin chain in the presence of finite amount of easy-axis XXZ S=12S=\frac{1}{2}S=21​ impurities. Furthermore, we recover some of the aforementioned features using cluster mean-field theory, which allows us to present results on experimentally accessible quantities at finite temperatures. Interestingly, in the presence of uniform magnetic field, the total magnetization exhibits a pseudogap behavior for low values of applied field. We also discuss the dependence of NMR spectrum on various XXZ impurities and identify that the spin state of Co impurity in SrCu0.99Co0.01O2{\mathrm{SrCu}}_{0.99}{\mathrm{Co}}_{0.01}{\mathrm{O}}_{2}SrCu0.99​Co0.01​O2​ is S=32S=\frac{3}{2}S=23​.
The two-dimensional quantum Heisenberg antiferromagnet at zero temperature, with locally frustrating magnetic defects, is studied. We consider two types of defects---an isolated ferromagnetic bond (FMB) and a quantum impurity spin, coupled symmetrically to the two sublattices. A technique is developed to study strong defect-environment interaction. In the case of a FMB we find that, contrary to the previous linear spin-wave result, the local magnetization stays finite even for strong frustration. For an antiferromagnetic coupling of a quantum impurity spin with its environment, we find a local change in the ground state. All our calculations are compared with numerical results from exact diagonalization.
Nonmagnetic impurities in an S=1/2S\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1/2S=1/2 Heisenberg antiferromagnetic chain are studied using boundary conformal field theory techniques and finite-temperature quantum Monte Carlo simulations. We calculate the static structure function, Simp(k){S}_{\mathrm{imp}}(k)Simp​(k), measured in neutron scattering and the local susceptibility, ${\ensuremath{\chi}}_{i}$ measured in Knight shift experiments. Simp(k){S}_{\mathrm{imp}}(k)Simp​(k) becomes quite large near the antiferromagnetic wave vector, and exhibits much stronger temperature dependence than the bulk structure function. ${\ensuremath{\chi}}_{i}$ has a large component which alternates and increases as a function of distance from the impurity.