Physics – Condensed Matter – Materials Science
Scientific paper
2003-02-26
J.Phys:Condens.Matter 15 (2003) pp. 2137-2153
Physics
Condensed Matter
Materials Science
28 pages,6 figures
Scientific paper
10.1088/0953-8984/15/13/301
Interplay of nonlinear and quantum effects in the ground state of the E$\otimes (b_1+b_2)$ Jahn-Teller model was investigated by the {\it variational approach and exact numerical simulations}. They result in the recognition of (i) importance of the admixture of {\it the first excited state of the displaced harmonic oscillator} of the symmetric phonon mode in the ground state of the system in the selftrapping-dominated regime; (ii) existence of {\it the region of localized $b_1$-undisplaced oscillator states} in the tunneling-dominated regime. The effect (i) occurs owing to significant decrease of the ground state energy on account of the overlapping contribution of the symmetric phonon mode between the states of the same parity. This contribution considerably improves variational results especially in the selftrapping-dominated regime. Close to the E$\otimes$e limit, the nonlinear effects of {\it two-mode correlations} turn to be effective due to the rotational symmetry of this case. In the tunneling-dominated regime the phonon wave functions behave like the strongly localized harmonic oscillator ground state and the effect (i) looses its significance.
Majernikova Eva
Shpyrko Serge
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