Polarons in a Cylindrical Quantum Wire with Finite-Barrier Well

The eigenfunctions and eigenenergies of an electron in a finite-barrier cylindrical quantum wire are obtained. The case of different electron band masses in the cylinder and the barrier material is discussed. The polaron binding energy and the polaron effective mass due to the interaction of an electron with two cylindrical-interface optical modes as well as with cylindrical bulk-in and cylindrical bulk-out confined LO-phonon modes are calculated, and their dependence on the radius of the cylinder is studied in detail. The comparison with the results for a 2D polaron is performed. Es werden die Eigenfrequenzen und Eigenenergien eines Elektrons in einem zylindrischen Quantendraht mit einer Barriere endlicher Hohe gefunden, wobei sich die Elektronenbandmassen im Zylinder und in der Barriere voneinander unterscheiden. Die Bindungsenergie und die effektive Masse der Polaronen, die aus der Wechselwirkung des Elektrons mit zwei Moden der optischen Zylinder-Oberflachen-phononen wie auch mit inneren und auseren Zylinder-Volumenmoden der LO-Phononen folgen, werden berechnet, und ihre Abhangigkeit vom Radius des Zylinders wird detailliert untersucht. Es wird ein Vergleich mit den Ergebnissen fur 2D-Polaronen durchgefuhrt.

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