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G. CIOBANU1,*
The critical behavior of a rectangular lattice of quantum anharmonic (quartic) oscillators, in two and three spatial dimensions, is investigated, using a mean-field approach. Even if the quantum case is the only one studied in detail, the classical limit can be easily taken, in the final results. The model describes well structural phase transitions. The critical temperature is obtained via the formula of the dielectric susceptibility. In order to get analytic results, the polynomial potential is replaced with a symmetric double well square one. The results agree qualitatively with those obtained for other two well potentials, and with the Monte Carlo simulations..
Quantum square well, Resonant cavity, Normal modes, Transcendental equations.
G. CIOBANU, Critical behavior of a 3D anharmonic solid, Optoelectronics and Advanced Materials - Rapid Communications, 6, 11-12, November-December 2012, pp.1026-1033 (2012).
Submitted at: Oct. 16, 2012
Accepted at: Oct. 30, 2012
Optoelectronics and Advanced Materials - Rapid Communications
(2022): 0.5 - 2022 Journal Citation Reports (Clarivate Analytics, 2023)
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