Magnetic impurities coupled to quantum antiferromagnets in one dimension

Abstract

Magnetic impurities coupled antiferromagnetically to a one-dimensional Heisenberg model are studied by numerical diagonalization of chains of finite clusters. By calculating the binding energy and the correlation function, it is shown that a local singlet develops around each impurity. This holds true for systems with a single impurity, with two impurities, and for impurities forming a lattice. The local character of the singlet is found to be little affected by the presence of other impurity spins. A small effective interaction is found between a pair of impurity spins, which oscillates depending on impurity distances. For impurity lattices, the energy spectrum shows a gap which is found to be much smaller than the binding energy per impurity if the coupling constants are small. For larger coupling constants, it increases to the same order of magnitude as the binding energy, indicating that a local singlet is broken to create excited states. Impurity lattices with ferromagnetic couplings are also studied and their connection to the Haldane problem is discussed.

arXiv comment25 pages, plain TeX, 17 figures available on request, to be publised in Phys. Rev. B

References in corpus (1)

• Interaction of a Magnetic Impurity with Strongly Correlated Conduction Electrons

Cited by in corpus (26)

• Defects in correlated metals and superconductors
• Spin and charge gaps in the one-dimensional Kondo-lattice model with Coulomb interaction between conduction electrons
• Periodic Anderson model with correlated conduction electrons
• From compact localized states to many-body scars in the random quantum comb
• Impurity effects at finite temperature in the two-dimensional S=1/2 Heisenberg antiferromagnet
• Interaction Effect in the Kondo Energy of the Periodic Anderson-Hubbard Model
• Impurity corrections to the thermodynamics in spin chains using a transfer-matrix DMRG method
• Local Moments Coupled to a Strongly Correlated Electron Chain
• Phase Transitions in Bilayer Heisenberg Model with General Couplings
• Phase diagram of an impurity in the spin-1/2 chain: two channel Kondo effect versus Curie law
• The Kondo lattice model with correlated conduction electrons
• Quantum disorder and Griffiths singularities in bond-diluted two-dimensional Heisenberg antiferromagnets
• Kondo effect in the isotropic Heisenberg spin chain
• Periodic Anderson model with correlated conduction electrons: variational and exact diagonalization study
• Magnetic Impurity in the two-dimensional Heisenberg Antiferromagnet
• Phase diagram and critical properties of the frustrated Kondo necklace model in a magnetic field
• Heisenberg-Ising delta-chain with bond alternation
• Moment screening in the correlated Kondo lattice model
• A Kondo impurity in one dimensional correlated conduction electrons
• The study of spin-spin correlations in quasi-one-dimensional Heisenberg antiferromagnetic clusters
• Underscreened Kondo impurities in a Luttinger liquid
• Critical properties of a comb lattice
• Dilute magnetic moments in an exactly solvable interacting host
• Collective Kondo effect in the Anderson-Hubbard lattice
• Effects of critical correlations on quantum percolation in two dimensions
• Evidence of anomalous Curie constants for nonmagnetic impurities in a critical 2-dimensional $J{Q}_3$ model on the honeycomb lattice