Original Articles |
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Self-Trapping of Acoustic Polaron in One Dimension |
HOU Jun-Hua;LIANG Xi-Xia |
Department of Physics, Inner Mongolia University, Hohhot 010021 |
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Cite this article: |
HOU Jun-Hua, LIANG Xi-Xia 2007 Chin. Phys. Lett. 24 3222-3224 |
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Abstract The ground-state energy and effective mass of an acoustic polaron in one dimension are calculated by using an electron--longitudinal-acoustic-phonon interaction Hamiltonian derived here. The self-trapping of the acoustic polaron is discussed. It is found that the critical coupling constant shifts toward weaker electron--phonon interaction with the increasing cutoff wave vector and the products of the critical coupling constant by the cutoff wave vector tend to a certain value. The self-trapping of acoustic polarons in one dimension is easier to be realized than that in three- and two-dimensional systems. The self-trapping transition of acoustic polarons is expected to be observed in the one dimensional systems of alkali halides and wide-band-gap semiconductors.
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Keywords:
71.38.Fp
73.20.Mf
63.20.Kr
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Received: 02 June 2007
Published: 23 October 2007
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PACS: |
71.38.Fp
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(Large or Fr?hlich polarons)
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73.20.Mf
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(Collective excitations (including excitons, polarons, plasmons and other charge-density excitations))
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63.20.Kr
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