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  • PACS. 71.35.-y Excitons and related phenomena  (3)
  • PACS. 71.10.Ca Electron gas, Fermi gas – 71.35.-y Excitons and related phenomena  (1)
  • PACS. 73.21.Fg Quantum wells  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Electron-hole diagrams versus exciton diagrams: the simplest problem on interacting excitons (2001)
    Springer
    The European physical journal 22 (2001), S. 17-29 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 71.35.-y Excitons and related phenomena
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We study the interaction of an exciton with a distant metal, which is the simplest problem on interacting excitons: The semiconductor and metal electrons being “different” species, we do not have to worry about the tricky consequences of Pauli exclusion between identical carriers, which appear in any other problem on interacting excitons. We show how the exciton absorption, in the presence of semiconductor-metal interaction, can be derived in a very simple and transparent way from an exciton diagram procedure, provided that we use the appropriate exciton-metal interaction vertex, which contains the scattering from an exciton state to another exciton state under a Coulomb excitation. We also show that the resolution of this problem using standard electron-hole diagrams is dreadfully complicated at the lowest order in the semiconductor-metal interaction already, preventing a full calculation of the exciton-metal coupling from this usual technique.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/PL00011131
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  • 2
    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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  • 3
    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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  • 4
    Electronic Resource
    Electronic Resource
    Density expansion of the energy of N close-to-boson excitons (2003)
    Springer
    The European physical journal 31 (2003), S. 517-523 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 71.35.-y Excitons and related phenomena
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Pauli exclusion between the carriers of N excitons induces novel many-body effects, quite different from the ones generated by Coulomb interaction. Using our commutation technique for interacting close-to-boson particles, we here calculate the Hamiltonian expectation value in the N-ground-state-exciton state. Coulomb interaction enters this quantity at first order only by construction; nevertheless, due to Pauli exclusion, subtle many-body effects take place, which give rise to terms in (Na x 3/ )n with n ≥ 2. An exact procedure to get these density dependent terms is given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2003-00061-3
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  • 5
    Electronic Resource
    Electronic Resource
    Commutation technique for interacting close-to-boson excitons (2002)
    Springer
    The European physical journal 27 (2002), S. 505-516 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 71.35.-y Excitons and related phenomena
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The correct treatment of the close-to-boson character of excitons is known to be a major problem. In a previous work, we have proposed a “commutation technique” to include this close-to-boson character in their interactions. We here extend this technique to excitons with spin degrees of freedom as they are of crucial importance for many physical effects. Although the exciton total angular momentum may appear rather appealing at first, we show that the electron and hole angular momenta are much more appropriate when dealing with scattering processes. As an application of this commutation technique to a specific problem, we reconsider a previous calculation of the exciton-exciton scattering rate and show that the proposed quantity is intrinsically incorrect for fundamental reasons linked to the fermionic nature of the excitons.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00184-y
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    Paper (German National Licenses)
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