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Effect of electron-phonon coupling on the hopping rate of charged particles in a superlattice

Journal Article


Abstract


  • In this paper the effect due to electron-phonon coupling on the hopping rate of heavy charged particles (e.g., muons) in a type-I superlattice is calculated. Since the values for the electron number-density parameter rs==me2/kF in these structures are typically around unity, we shall not consider any bound states between electrons and the particle even if the particle is positively charged. In considering the motion of the particle we assume that it hops between nearest-neighbor lattice sites. It is shown that is an anisotropic function. The dominant feature due to the electron-phonon interaction is that the band renormalization factor Fpl0 due to hopping is influenced by the high-energy optical-phonon plasmon coupled mode and is highly anisotropic. Calculation shows that Fpl0 varies by as much as one order of magnitude when the direction for hopping changes from being parallel to the two-dimensional electron-gas layers to being perpendicular to them. © 1991 The American Physical Society.

Publication Date


  • 1991

Citation


  • Gumbs, G., & Zhang, C. (1991). Effect of electron-phonon coupling on the hopping rate of charged particles in a superlattice. Physical Review B, 43(15), 12522-12529. doi:10.1103/PhysRevB.43.12522

Scopus Eid


  • 2-s2.0-35949015133

Start Page


  • 12522

End Page


  • 12529

Volume


  • 43

Issue


  • 15

Abstract


  • In this paper the effect due to electron-phonon coupling on the hopping rate of heavy charged particles (e.g., muons) in a type-I superlattice is calculated. Since the values for the electron number-density parameter rs==me2/kF in these structures are typically around unity, we shall not consider any bound states between electrons and the particle even if the particle is positively charged. In considering the motion of the particle we assume that it hops between nearest-neighbor lattice sites. It is shown that is an anisotropic function. The dominant feature due to the electron-phonon interaction is that the band renormalization factor Fpl0 due to hopping is influenced by the high-energy optical-phonon plasmon coupled mode and is highly anisotropic. Calculation shows that Fpl0 varies by as much as one order of magnitude when the direction for hopping changes from being parallel to the two-dimensional electron-gas layers to being perpendicular to them. © 1991 The American Physical Society.

Publication Date


  • 1991

Citation


  • Gumbs, G., & Zhang, C. (1991). Effect of electron-phonon coupling on the hopping rate of charged particles in a superlattice. Physical Review B, 43(15), 12522-12529. doi:10.1103/PhysRevB.43.12522

Scopus Eid


  • 2-s2.0-35949015133

Start Page


  • 12522

End Page


  • 12529

Volume


  • 43

Issue


  • 15