Note on the strong-coupled polarons

Tokuda, Naoki

doi:10.1088/0022-3719/13/8/007

Cited by 20 publications

(7 citation statements)

References 10 publications

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“…First, in order to assume the wavefunction for the strong electron-SO-phonon coupling as Gaussian-type, we have to transform the Hamiltonian in Eq. ( 1) by making use of the linear combination operators for the momentum operators P» and p, which are given byl 9,10…”

Section: Theorymentioning

confidence: 99%

The Properties of Surface Polaron in the Semi-Infinite Polar Crystal

Chekman

Lam

1998

Commun. Theor. Phys.

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The effective Hamiltonian and the renormalized mass of surface polaron, where the electron is strongly coupled with the surface optical (SO) phonons but weakly or intermediately coupled with the bulk longitudinal-optical (LO) phonons, were first reviewed. The self-energy and the renormalized mass of the polaron for the polar crystals of potassium iodide, silver chloride and silver bromide are evaluated as a function of the depth Gom the crystal surface. Results of our calculation indicate that the effect of the electron-SO phonon interaction is dominant only within a very small layer from the crystal surface. Its justification awaits further experimental results.

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Section: Theorymentioning

confidence: 99%

The Properties of Surface Polaron in the Semi-Infinite Polar Crystal

Chekman

Lam

1998

Commun. Theor. Phys.

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“…To find the solution of the Hamiltonian H in Eq. ( 1), we shall adopt the Tokuda's simple scheme of variational approach' [17][18][19] ! for the strong coupling theory of the polarons in 3D based on the unitary transformation method as well as the method of Largrange multiplier.…”

Section: The Formulationmentioning

confidence: 99%

“…Furthermore, as the conventional perturbation approach which is appropriate for the weak interaction should break down for our strong interaction situation, we must adopt an alternative approach to deal with this problem. Our present method is analogous with the one adopted by Tokuda' [17][18][19] ! for studying the behavior of the strongcoupling 3D polaron in a magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Effect of Strong Electron-Phonon Interactions on an Interface Polaron

Lai¹,

Gu²,

Au-Yeung³

et al. 1995

Commun. Theor. Phys.

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The present work deals with an electron interacting strongly with both bulk longitudinal optical (LO) phonons and interface (IF) optical phonons in which we adopt and generalize the Tokuda's variational method for studying the interface polaron properties in polar crystals at zero temperature. In our approach, we can reduce the Hamiltonian equation of the system to a pair of integro-differential equations in two variational parameters of the electron wavefunction from which we can calculate various physical properties of an interface polaron including the ground state energy, average numbers of interacting phonons, the average distance from the interface and the anisotropic effective masses of the interface polaron. Numerical results are obtained explicitly for LiF crystal interfaced with NaF crystal as well as other similar systems with varying physical constants, which show the typical trends of variations for the effects of strong electron-phonon interactions on different physical properties of an interface polaron.

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“…The influence of polaron inside low-dimensional nano-materials is more important thus, it have received a great attention in recent years [ 19 , 20 , 21 ]. In crystal without an inversion center or piezoelectric crystal, a conduction electron interacts with the acoustic phonon and form the piezoelectric polaron [ 18 , 22 , 23 ]. Some materials are excellent candidate for low-dimensional quantum systems like ZnO, GaN, CdS and GaAs [ 23 , 24 ].…”

Section: Introductionmentioning

confidence: 99%