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Ground State Description of Impurity‐Bound Polarons in Parabolic Quantum Wells
Author(s) -
Ren Yuhang,
Chen Qinghu,
Song Jing,
Yu Yabin,
Jiao Zhengkuan
Publication year - 1999
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(199908)214:2<327::aid-pssb327>3.0.co;2-l
Subject(s) - polaron , physics , feynman diagram , coulomb , ground state , coupling constant , path integral formulation , quantum mechanics , condensed matter physics , electron , variational method , quantum , quantum electrodynamics
Within the framework of Feynman‐Haken path integral theory, we calculate the ground‐state energy of a polaron in parabolic quantum wells in the presence of a Coulomb potential. It is shown that the polaronic correction of the ground state is more sensitive to the electron–(LO)phonon coupling constant than the Coulomb binding parameter, and it monotonically increases with the decreasing effective well width. Moreover, we compare our results to those obtained by Landau‐Pekar variational scheme. We find that the Feynman‐Haken method gives better results than the Landau‐Pekar variational method. It is demonstrated that the result from Landau‐Pekar variational method is just a special case of those from Feynman‐Haken method. We also apply our calculations to several polar semiconductor quantum wells and find that the polaronic correction can be considerably large. Moreover, the localization of the system is found to be strengthened with the increasing of the electron–phonon coupling constant and the Coulomb binding parameter.