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Ground state energy of a polaron in a superlattice
Institution:1. Bipolar Disorders Unit, Department of Psychiatry, School of Medicine, Pontificia Universidad Católica de Chile, Santiago, Chile;2. Bipolar Disorders Unit, Institute of Neuroscience, Hospital Clínic, University of Barcelona, IDIBAPS, CIBERSAM, Catalonia, Barcelona, Spain;3. Department of Neurology and Psychiatry, Faculty of Medicine, Clinica Alemana Universidad del Desarrollo, Santiago, Chile;4. Early Intervention Program, J Horwitz Psychiatric Institute, Santiago, Chile;1. Department of Cardiology, Pulmonology, Nephrology and Hypertension, Ehime University Graduate School of Medicine, Shitsukawa, Toon, Ehime 791-0295, Japan;2. Department of Cardiology, Kitaishikai Hospital, Ozu, Japan
Abstract:The ground state energy of a polaron in a superlattice was calculated using the double-time Green functions. The effective mass of the polaron along the planes perpendicular to the superlattice axis was also calculated. The dependence of the ground state energy and the effective mass along the planes perpendicular to the superlattice axis on the electron–phonon coupling constant α and on the superlattice parameters (i.e. the superlattice periodd and the bandwidth Δ) were studied. It was observed that if an infinite square-well potential is assumed, the ground state energy of the polaron decreases (i.e. becomes more negative) with increasing α and d, but increases with increasing Δ. For small values of α, the polaron ground state energy varies slowly with Δ, becoming approximately constant for large Δ. The effective mass along the planes perpendicular to the superlattice axis was found to be approximately equal to the mass of an electron for all typical values ofα , d and Δ.
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