Exchange interaction between $J$-multiplets

Abstract

Analytical expressions for the exchange interaction between $J$-multiplets of interacting metallic centers are derived on the basis of a complete electronic model. A common belief that this interaction can be approximated by an isotropic form $\propto {\mathbf{J}}_1\cdot {\mathbf{J}}_2$ (or $\propto {\mathbf{J}}_1\cdot {\mathbf{S}}_2$ in the case of interaction with an isotropic spin) is found to be ungrounded. It is also shown that the often used "1/U approximation" for the description of the kinetic contribution of the exchange interaction is not valid in the case of $J$-multiplets. The developed theory can be used for microscopic description of exchange interaction in materials containing lanthanides, actinides and some transition metal ions.

20 pages, 3 figures

References in corpus (4)

• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Electronic Structure Calculation by First Principles for Strongly Correlated Electron Systems
• Structural distortion and the spin liquid state in Tb2Ti2O7
• Magnetic exchange interaction between rare-earth and Mn ions in multiferroic hexagonal manganites

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