Jahn-Teller Resonance States in the Vb Metal Hydrides
A hamiltonian with a localized Jahn-Teller electron-phonon interaction plus a band-coupling term belonging to a metal cluster state adjacent to interstitial hydrogen in the Vb metals is presented. It is shown that in a low-frequency approximation, this hamiltonian is analogous to the Anderson Hamiltonian for magnetic impurities in metals. The role of hydrogen in triggering the Jahn-Teller instability is explained in the context of the Hartree-Fock solutions of the low-frequency hamiltonian, using a ‘phase diagram’ in the Hartree-Fock parameter space. An elastic susceptibility expression is derived and compared with an observed elastic relaxation. The empirical connection of the Jahn-Teller distortion to the observed elastic dipole tensor is reconsidered.
KeywordsMagnetic Impurity Phonon Branch Interstitial Hydrogen Empirical Connection Dispersion Step
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