The direct exchange between two Tg Jahn-Teller ions
- 17 January 1973
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 6 (1) , 98-108
- https://doi.org/10.1088/0022-3719/6/1/022
Abstract
The Jahn-Teller coupling is known to lead to the reduction of single parameters such as the spin-orbit coupling (the Ham effect). An important question is what it does to exchange interactions. This problem is studied for what is probably the simplest case, direct exchange between two Tg ions coupled to the Eg types of distortions of a cubic lattice. It is found that the exchange interaction has a complicated form, that in general it is quenched, and that it may become temperature dependent. The method used is a combination of the transformation method for Jahn-Teller problems and a new formulation of the exchange problem, in terms of second quantization.Keywords
This publication has 20 references indexed in Scilit:
- A variational groundstate for the dynamic Jahn-Teller effectJournal of Physics C: Solid State Physics, 1972
- Magnetic and Structural Phase Transition in DySbPhysical Review Letters, 1972
- Isomorphisms and the spin-phonon interaction for (3d)" ionsJournal of Physics C: Solid State Physics, 1971
- Isomorphisms and the spin-phonon interaction for (3d)nionsJournal of Physics C: Solid State Physics, 1971
- Theory of co-operative Jahn-Teller distortions in DyVO4and TbVO4(Phase transitions)Journal of Physics C: Solid State Physics, 1971
- Group theory and topology in solid state physicsReports on Progress in Physics, 1970
- Pair Interaction Hamiltonian in Fictitious Angular Momentum SpaceJournal of Applied Physics, 1969
- The E-type orbitals of octahedrally co-ordinated ionsJournal of Physics C: Solid State Physics, 1968
- Orbital Effects on Exchange InteractionsJournal of Applied Physics, 1968
- Dynamical Jahn-Teller Effect in Paramagnetic Resonance Spectra: Orbital Reduction Factors and Partial Quenching of Spin-Orbit InteractionPhysical Review B, 1965