Showing papers by "Sebastian Doniach published in 1977"
TL;DR: In this article, it was suggested that a second-order transition from an antiferromagnetic to a Kondo spin-compensated ground state will occur as the exchange coupling constant J is increased to a critical value Jc for systems in which J ≲ Jc.
Abstract: By considering a one-dimensional analog of a system of conduction electrons exchange coupled to a localized spin in each cell of a lattice, it is suggested that a second-order transition from an antiferromagnetic to a Kondo spin-compensated ground state will occur as the exchange coupling constant J is increased to a critical value Jc For systems in which J ≲ Jc, a very weak sublattice magnetization may occur as a result of nearly complete spin-compensation
1,309 citations
TL;DR: In this paper, a one-dimensional analog of the Kondo-lattice problem is presented, in which a conduction band interacts with a spin in each cell of a lattice.
Abstract: Details are given of work on a one-dimensional analog of the Kondo-lattice problem, in which a conduction band interacts with a spin in each cell of a lattice Results of a renormalization-group calculation (generalized from Wilson's approach to the single-site Kondo problem) published earlier in letter form, showed that the system undergoes a second-order crossover transition from an antiferromagnetic state to a Kondo-like state at zero temperature as the spin---conduction-electron coupling is increased past a critical value The numerical approximations involved are checked against the case of the Ising chain in a transverse field for which exact solutions are available
65 citations
TL;DR: In this paper, a one-dimensional analog of the Kondo lattice is studied by a renormalization-group technique, and it is shown that the system undergoes a second-order crossover transition from an antiferromagnetic state to a Kondo-like state at zero temperature as the spin-conduction-electron coupling is increased.
Abstract: A one-dimensional analog of the Kondo lattice is studied by a renormalization-group technique. Previous mean-field results are shown to be reasonable: The system under-goes a second-order crossover transition from an antiferromagnetic state to a Kondo-like state at zero temperature as the spin-conduction-electron coupling is increased. Estimates are given for critical exponents and the behavior of correlation functions near the transition.
55 citations