We consider a magnetic impurity in the antiferromagnetic spin- $1/2$ chain which is equivalent to the two-channel Kondo problem in terms of the field theoretical description. Using a modification of the transfer-matrix density matrix renormalization group we are able to determine the crossover function for the impurity susceptibility over a large temperature range, which exhibits universal data collapse. We also calculate the local susceptibilities near the impurity, which show an interesting competition of boundary effects. This results in quantitative predictions for experiments on doped spin- $1/2$ chains, which could observe two-channel Kondo physics directly.We consider a magnetic impurity in the antiferromagnetic spin- $1/2$ chain which is equivalent to the two-channel Kondo problem in terms of the field theoretical description. Using a modification of the transfer-matrix density matrix renormalization group we are able to determine the crossover function for the impurity susceptibility over a large temperature range, which exhibits universal data collapse. We also calculate the local susceptibilities near the impurity, which show an interesting competition of boundary effects. This results in quantitative predictions for experiments on doped spin- $1/2$ chains, which could observe two-channel Kondo physics directly.

arXiv:cond-mat/9807060Physical Review LettersAug 24, 199835 citations

Spin-Spin Correlations in the 2-Impurity Kondo Problem

Leena Chandran, H. R. Krishnamurthy, Ciriyam Jayaprakash

Springer eBooksJan 1, 19870 citations

TWO KONDO IMPURITY PROBLEM: RELEVANCE TO HEAVY FERMIONS

Barbara Jones, C. M. Varma

Elsevier eBooksJan 1, 19871 citation

Impurities in S=1/2 Heisenberg Antiferromagnetic Chains: Consequences for Neutron Scattering and Knight Shift

Sebastian Eggert, Ian K. Affleck

Nonmagnetic impurities in an $S\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1/2$ Heisenberg antiferromagnetic chain are studied using boundary conformal field theory techniques and finite-temperature quantum Monte Carlo simulations. We calculate the static structure function, ${S}_{\mathrm{imp}}(k)$ , measured in neutron scattering and the local susceptibility, ${\ensuremath{\chi}}_{i}$ measured in Knight shift experiments. ${S}_{\mathrm{imp}}(k)$ 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.Nonmagnetic impurities in an $S\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1/2$ Heisenberg antiferromagnetic chain are studied using boundary conformal field theory techniques and finite-temperature quantum Monte Carlo simulations. We calculate the static structure function, ${S}_{\mathrm{imp}}(k)$, measured in neutron scattering and the local susceptibility, ${\ensuremath{\chi}}_{i}$ measured in Knight shift experiments. ${S}_{\mathrm{imp}}(k)$ 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.

arXiv:cond-mat/9505092Physical Review LettersJul 31, 1995153 citations

Low-temperature physics of the two-impurity, two-channel Kondo model

Kevin Ingersent, Barbara Jones

Physica B Condensed MatterApr 1, 19947 citations

Impurity-induced moments in underdoped cuprates

Giniyat Khaliullin, R. Kilian, S. Krivenko +1 more

We examine the effect of a nonmagnetic impurity in a two-dimensional spin liquid in the spin-gap phase, employing a drone-fermion representation of spin- $1/2$ operators. The properties of the local moment induced in the vicinity of the impurity are investigated and an expression for the nuclear-magnetic-resonance Knight shift is derived, which we compare with experimental results. Introducing a second impurity into the spin liquid an antiferromagnetic interaction between the moments is found when the two impurities are located on different sublattices. The presence of many impurities leads to a screening of this interaction as is shown by means of a coherent-potential approximation. Further, the Kondo screening of an impurity-induced local spin by charge carriers is discussed.We examine the effect of a nonmagnetic impurity in a two-dimensional spin liquid in the spin-gap phase, employing a drone-fermion representation of spin-$1/2$ operators. The properties of the local moment induced in the vicinity of the impurity are investigated and an expression for the nuclear-magnetic-resonance Knight shift is derived, which we compare with experimental results. Introducing a second impurity into the spin liquid an antiferromagnetic interaction between the moments is found when the two impurities are located on different sublattices. The presence of many impurities leads to a screening of this interaction as is shown by means of a coherent-potential approximation. Further, the Kondo screening of an impurity-induced local spin by charge carriers is discussed.

arXiv:cond-mat/9709121Physical review. B, Condensed matterNov 1, 199752 citations

We consider a magnetic impurity in the antiferromagnetic spin-

1/2

chain which is equivalent to the two-channel Kondo problem in terms of the field theoretical description. Using a modification of the transfer-matrix density matrix renormalization group we are able to determine the crossover function for the impurity susceptibility over a large temperature range, which exhibits universal data collapse. We also calculate the local susceptibilities near the impurity, which show an interesting competition of boundary effects. This results in quantitative predictions for experiments on doped spin-

1/2

chains, which could observe two-channel Kondo physics directly.

Nonmagnetic impurities in an

S\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}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,

{S}_{\mathrm{imp}}(k)

, measured in neutron scattering and the local susceptibility, ${\ensuremath{\chi}}_{i}$ measured in Knight shift experiments.

{S}_{\mathrm{imp}}(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.

We examine the effect of a nonmagnetic impurity in a two-dimensional spin liquid in the spin-gap phase, employing a drone-fermion representation of spin-

1/2

operators. The properties of the local moment induced in the vicinity of the impurity are investigated and an expression for the nuclear-magnetic-resonance Knight shift is derived, which we compare with experimental results. Introducing a second impurity into the spin liquid an antiferromagnetic interaction between the moments is found when the two impurities are located on different sublattices. The presence of many impurities leads to a screening of this interaction as is shown by means of a coherent-potential approximation. Further, the Kondo screening of an impurity-induced local spin by charge carriers is discussed.