Mean free path of a suddenly created fast electron moving in a degenerate electron gas
A lower bound on the mean free path (l) of a swift electron moving in a degenerate electron gas is calculated by implementing a standard theoretical framework for the collision rate, 1/τ, with a scattering amplitude characterized by the matrix element of a hole-screened interaction potential taken b...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/246177 |
| Acceso en línea: | http://hdl.handle.net/10261/246177 |
| Access Level: | acceso abierto |
| Sumario: | A lower bound on the mean free path (l) of a swift electron moving in a degenerate electron gas is calculated by implementing a standard theoretical framework for the collision rate, 1/τ, with a scattering amplitude characterized by the matrix element of a hole-screened interaction potential taken between plane-wave states. The instantaneous hole around a system's electron is considered at the Hartree-Fock level for the ground-state wave function of the degenerate electron gas. The real transitions in the many-body system are considered by following Galitskii's treatment on an almost perfect Fermi gas of neutral atomic constituents. The analytical results show minima both in τ and l, and they appear at (E/EF)≃4.6 and (E/EF)≃2.5, respectively, where E is the kinetic energy of the fast electron and EF is the Fermi energy of the host. Comparison with mean free path data obtained recently for Cu is made and a reasonable agreement is found. |
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