The surface polaron and its phase diagram

Tokuda, Naoki

doi:10.1088/0022-3719/15/6/028

Cited by 16 publications

(14 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…II.A) was particularly influential and became an important part of many subsequent publications. We mention Gross (1955);Haga (1955); Fulton (1956); Pines (1963); Dichtel (1966); Larsen (1966) and (1968); Roseler (1968); Barentzen (1975); Cahill (1975);Huybrechts (1976) and(1977); Tokuda (1980aTokuda ( , 1980band Bogoliubov, Kireev, and Kurbatov (1987). A significantly new development began with the advent of functional-integral methods (see the pioneering work of Feynman, 1955); in combination with refined variational procedures, they proved to be an extremely powerful tool, if not the most powerful.…”

Section: A-> Comentioning

confidence: 99%

Analytical properties of polaron systems or: Do polaronic phase transitions exist or not?

Gerlach

Löwen²

1991

Rev. Mod. Phys.

228

176

View full text Add to dashboard Cite

For more than 40 years it was thought that polaron-and exciton-phonon systems exhibited unexpected localization properties. Particular attention was paid to the so-called phonon-induced self-trapping transition, which, it was believed, should manifest itself as a point of nonanalyticity in the ground-state energy as a function of the electron-phonon coupling parameter. It will be demonstrated for a large class of (generalized Frohlich) models that no such transition exists. The dimensionality of space has no qualitative influence; insofar, an application of the authors' results to problems in lower dimensions (e.g., polarons in quantum wells) is straightforward. The same holds true if homogeneous external fields are involved; for example, a discontinuous mass stripping for magnetopolarons can be excluded. On the other hand, a phase-transition-like behavior will be found, if a polaron or exciton is exposed to a short-range potential, allowing a so-called pinning transition. The authors emphasize, however, that even in this case the transition is only modified, and not induced, by phonons.

show abstract

Section: A-> Comentioning

confidence: 99%

Analytical properties of polaron systems or: Do polaronic phase transitions exist or not?

Gerlach

Löwen²

1991

Rev. Mod. Phys.

228

176

View full text Add to dashboard Cite

show abstract

“…Before reporting the results systematically we should like to examine first the validity of replacing V(e, x ) by V(e, 7). It is easilydone by examining the 11 dependence of the crucial quantities like V (and energy).…”

Section: Resultsmentioning

confidence: 99%

“…With this assumption, the normalized !PA@) the GS eigenfunction of -7; -@/e) -v$ -(yfz) used in where a is approximately the thickness of the electronic density perpendicular and outside the surface. With (16), (13) (a constant) and (14) can now be evaluatc The SO phonon-induced attractive potential (14) is therefore given by M. BHATTACHARYA, S. MURHOPADHYAY, and T. K. MITRA Therefore, V(e, z) may be replaced in good approximation by V(e, 7 ) where q is a small constant parameter which replaces 6 + x. Although we make this assumption a priori for reasons of simplicity in this first investigation it will be found from actual (a posteriori) results that for two 7-values chosen two orders of magnitude different from each other, the change in the result is only fractional (= 5%), thus justifying our assumptions.…”

Section: Formulationsmentioning

confidence: 99%

Study of a Bound Surface Optical Polaron by a Non‐Perturbative Method

Bhattacharya

Mukhopadhyay

Mitra

1983

Physica Status Solidi (b)

View full text Add to dashboard Cite

The problem of an extrinsic surface optical polaron, bound to an impurity atom, near the surface is investigated for the first time in the framework o f a recently developed canonical transformation method. Energy and wave function for all ranges of the coupling constant (a) and the impurity parameter (/3) are obtained numerically following the canonical transformation method. For a strong impurity the relatively unimportant effect due to the image potential is neglected. The dependence of the energy, the wave function, and the induced potential on a, #? are obtained and shown graphically.Das Problem eines an ein Fremdatom gebundenen optischen Oberfllichen-Storstellenpolarons in der NLhe der Oberflliche wird zum ersten Ma1 im Rahmen der kiirzlich entwickelten Methode der kanonischen Transformation untersucht. Energie und Wellenfunktion werden in allen Bereiohen der Kopplungskonstanten a und des Storstellenparameters /3 numerisch erhalten. Fiir eine starke Storstelle wird der relativ unwesentliche Effekt des Bildpotentials vernachlllssigt. Die Abhlngigkeiten der Energie, der Wellenfunktion und des induzierten Potentials yon a und B werden berechnet und graphisch dargestellt.

show abstract

“…The problem of an electron interacting with the surface elementary excitations on a semi-infinite medium has been the subject of considerable interest in the past decades [1][2][3][4][5][6][7][8][9][10]. This interaction is interesting from a technological viewpoint in the context of surface spectroscopy and the study of the optical properties of polar thin films and interfaces.…”

Section: Introductionmentioning

confidence: 99%

“…They considered the cases where the electron is outside and inside the crystal. Tokuda [2], and Bodas and Hipolito [3] considered only the case where the electron lies outside the crystal. They observed a phase--transition-like behavior from the quasi-free to the self--trapping electron state as the electron-phonon coupling constant exceeds a certain critical value.…”

Section: Introductionmentioning

confidence: 99%

A Variational Approach for an Electron Interacting with an Impenetrable Dielectric Surface under the Effect of an External Magnetic Field

Saqqa

2011

Acta Phys. Pol. A

View full text Add to dashboard Cite

Using a variational approach, the interaction of an extrinsic electron with the surface modes of a semi-infinite medium is studied under the effect of an external magnetic field. The approach is to be valid for all values of the electron-surface-phonon coupling. In addition to the ground state energy, the number of phonons around the electron, and the spatial localization of the electron perpendicular and parallel to the surface are studied. It is observed that the magnetic field enhances the effective electron-phonon coupling and thus leads to an increased degree of localization of the electron toward the surface.

show abstract

The surface polaron and its phase diagram

Cited by 16 publications

References 15 publications

Analytical properties of polaron systems or: Do polaronic phase transitions exist or not?

Analytical properties of polaron systems or: Do polaronic phase transitions exist or not?

Study of a Bound Surface Optical Polaron by a Non‐Perturbative Method

A Variational Approach for an Electron Interacting with an Impenetrable Dielectric Surface under the Effect of an External Magnetic Field

Contact Info

Product

Resources

About