Eur. Phys. J. B 11, 59-63 (1999)
https://doi.org/10.1007/s100510050916

Ground state description of bound polarons in parabolic quantum wires

¹ CCAST (World Laboratory) P. O. Box 8730, Beijing 100080, P.R. China
² Physics Department, Zhejiang University, Hangzhou 310027, P.R. China
³ Centre for Fundamental Physics, University of Science and Technology of China, Hefei 230026, P.R. China

Corresponding author: ^a yhren@mail.hz.zj.cn

Received: 16 November 1998
Published online: 15 September 1999

Abstract

The Feynman-Haken variational path integral theory is, for the first time, generalized to calculate the ground-state energy of an electron coupled simultaneously to a Coulomb potential and to a longitudinal-optical (LO) phonon field in parabolic quantum wires. It is shown that the polaronic correction to the ground-state energy is more sensitive to the electron-phonon coupling constant than the Coulomb binding parameter and monotonically stronger as the effective wire radius decreases. We apply our calculations to several semiconductor quantum wires and find that the polaronic correction can be considerably large.