Zero-temperature real-space renormalization-group method for a Kondo-lattice model Hamiltonian
- 1 December 1977
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 16 (11) , 4889-4900
- https://doi.org/10.1103/physrevb.16.4889
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.Keywords
This publication has 15 references indexed in Scilit:
- Two soluble models of an antiferromagnetic chainPublished by Elsevier ,2004
- Kondo Lattice: Real-Space Renormalization-Group ApproachPhysical Review Letters, 1977
- Crystal field and valence change effects in anomalous rare-earth compoundsJournal of Magnetism and Magnetic Materials, 1976
- Calculation of critical exponents in two dimensions from quantum field theory in one dimensionPhysical Review B, 1975
- The renormalization group: Critical phenomena and the Kondo problemReviews of Modern Physics, 1975
- Transition into a magnetic state without magnetic scattering in a rare earth system: CeAl3Solid State Communications, 1974
- Experimental evidence for the formation of a singlet ground state at low temperatures in the dense Kondo system CePhysical Review B, 1974
- Low-temperature properties of CeAl2 and comparison to LaAl2Journal of the Less Common Metals, 1973
- Influence of the Crystalline Field on the Kondo Effect of Alloys and Compounds with Cerium ImpuritiesPhysical Review B, 1972
- Statistical Mechanics of the Anisotropic Linear Heisenberg ModelPhysical Review B, 1962