6533b82ffe1ef96bd12963ef
RESEARCH PRODUCT
Optical Phonons in Quasi-One Dimensional Semiconductors
F. ComasCarlos Trallero-ginerAndrés Cantarerosubject
PhysicsPartial differential equationSemiconductorClassical mechanicsPhononbusiness.industryQuantum wirePolarElectric potentialBoundary value problembusinessQuantumdescription
A lagrangian formalism is systematically established for the treatment of long wavelength polar optical oscillations in quantum wires modeling the system as a macroscopic continuum. Fundamental equations for the vector displacement u and the electric potential ϕ are rigorously derived in the form of four coupled second order partial differential equations. Matching boundary conditions at the interfaces are also rigorously deduced from the fundamental equations and it is proved that no incompatibility between the mechanical and electrostatic matching boundary conditions exists. The case of AlAs-GaAs quantum wires with cylindrical symmetry is discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-01-01 |