Ground State of Quantum Jahn-Teller Model: Selftrapping vs Correlated Phonon-assisted Tunneling

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dc.creatorMajernikova, E.
dc.creatorShpyrko, S.
dc.date2005-10-29
dc.date.accessioned2026-07-07T06:45:41Z
dc.date.available2026-07-07T06:45:41Z
dc.descriptionGround state of the quantum Jahn-Teller model with broken rotational symmetry was investigated by the variational approach in two cases: a lattice and a local ones. Both cases differ by the way of accounting for the nonlinearity hidden in the reflection-symmetric Hamiltonian. In spite of that the ground state energy in both cases shows the same features: there appear two regions of model parameters governing the ground state: the region of dominating selftrapping modified by the quantum effects and the region of dominating phonon-assisted tunneling (antiselftrapping). In the local case (i) the effect of quantum fluctuations and anharmonicity due to the two-mode correlations is up to two orders larger than contributions due to the reflection effects of two-center wave function; (ii) the variational results for the ground state energy were compared with exact numerical results. The coincidence is the better the more far away from the transition region at the E$\otimes$e symmetry where the variational approach fails.
dc.description18 pages, 7 figures, published in Adv.in Quantum Chemistry
dc.identifierhttps://arxiv.org/abs/cond-mat/0510803
dc.identifierhttp://arxiv.org/abs/cond-mat/0510803
dc.identifierAdvances in Quantum Chemistry, v.44 (2003) pp.632-648
dc.identifierdoi:10.1016/S0065-3276(03)44042-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103113
dc.subjectOther Condensed Matter
dc.subjectMaterials Science
dc.titleGround State of Quantum Jahn-Teller Model: Selftrapping vs Correlated Phonon-assisted Tunneling
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