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The mass of a large polaron

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Abstract

We show that, beginning with the works of L. D. Landau and S. I. Pekar, the effective mass of a large polaron has been determined with a crucial error. Since all such research ignored the spatial dispersion of the lattice polarizability, the maximum group velocity of phonons is found to be zero, so that the phonon “cloud” of a polaron is unable to follow the polaron. We allow for the spatial dispersion of the lattice polarizability and derive an expression for the effective polaron mass valid over the entire velocity range in which a polaron can exist: from zero to the maximum group velocity of phonons. According to this expression, the polaron mass depends not only on the phonon frequency, reciprocal effective dielectric constant, and the carrier mass but also on the maximum group velocity of phonons interacting with the carrier and on the polaron velocity.

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Authors and Affiliations

  1. Rostov Teachers’ Training University, 344092, Rostov-on-Don, Russia

    A. É. Myasnikova & É. N. Myasnikov

Authors
  1. A. É. Myasnikova
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  2. É. N. Myasnikov
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Zh. Éksp. Teor. Fiz. 112, 278–283 (July 1997)

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Myasnikova, A.É., Myasnikov, É.N. The mass of a large polaron. J. Exp. Theor. Phys. 85, 152–155 (1997). https://doi.org/10.1134/1.558299

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