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  • PACS. 71.10.Ca Electron gas, Fermi gas – 71.35.-y Excitons and related phenomena  (1)
  • PACS. 71.35.-y Excitons and related phenomena – 73.21.Fg Quantum wells  (1)
  • PACS. 73.21.Fg Quantum wells  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Hydrogenic impurity ground state in quantum well: the envelope function revisited (2001)
    Springer
    The European physical journal 22 (2001), S. 89-98 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 73.21.Fg Quantum wells
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We present a new variationnal method for calculating the ground state energy of an electron bound to an impurity located in a quantum well. This method relies on an envelope function which is determined exactly from a formal minimization procedure. The obtained energies are lower by as much as 10% than the ones found by the widely used free electron envelope function. Their large width limits are reached with exponentially small corrections as they should. We also find that, except for narrow wells, the shape of these exact envelope functions strongly depends on the impurity position, being consequently quite different from the usual free electron ones. In order to discuss the improvements brought by our new procedure in the most striking way, we have used a model semiconductor quantum well with infinite barrier height and simplified band structure. Extensions can be made to finite barrier and more realistic band structures, following the same technique.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00011138
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  • 2
    Electronic Resource
    Electronic Resource
    Commutation technique for an exciton photocreated close to a metal (2003)
    Springer
    The European physical journal 31 (2003), S. 305-309 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 71.10.Ca Electron gas, Fermi gas – 71.35.-y Excitons and related phenomena
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Recently, we have derived the changes in the absorption spectrum of an exciton when this exciton is photocreated close to a metal. The resolution of this problem - which has similarities with Fermi edge singularities - has been made possible by the introduction of “exciton diagrams” in which the exciton metal-electron vertex has been essentially guessed. The validity of this procedure relied on a dreadful calculation based on standard free electron and free hole diagrams, with the semiconductor-metal interaction included at second order only, and its guessed extention to higher orders. Using a commutation technique similar to the one we recently introduced to deal with interacting excitons, we are now able to prove that this exciton diagram procedure we proposed is indeed valid for this problem at any order in the interaction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2003-00035-5
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The exciton dead layer revisited (2001)
    Springer
    The European physical journal 23 (2001), S. 139-151 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 71.35.-y Excitons and related phenomena – 73.21.Fg Quantum wells
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Although the exciton in a quantum well is not a rigid ball but distords when its center of mass gets close to a surface, it is mathematically possible to write the exciton energy change from its bulk value as an effective decrease of the well width in which the center of mass would freely move. In the large well limit, the exciton dead layer defined this way is related to the third order term in the expansion of the exciton energy as a function of the inverse well width. A quite precise calculation of this exciton energy is thus necessary to obtain this dead layer. We present a new calculation which relies on a Born-Oppenheimer procedure to decouple the relative motion of the e-h pair from its center of mass motion. This is associated to a quite precise calculation of the relative motion energy, based on our recent work on the exact envelope function for confined motion. We predict that the dead layer increases with the exciton total mass in contradiction with previous results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510170061
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    Paper (German National Licenses)
    Fulltext
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