Quantum statistics for a finite number of polarons in a neutralizing background
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BROSENS, Fons, KLIMIN, Serghei, DEVREESE, Josef T.. Quantum statistics for a finite number of polarons in a neutralizing background. In: Journal of Physics Condensed Matter, 2007, vol. 19, pp. 1-9. ISSN 0953-8984. DOI: https://doi.org/10.1088/0953-8984/19/25/255206
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Journal of Physics Condensed Matter
Volumul 19 / 2007 / ISSN 0953-8984 /ISSNe 1361-648X

Quantum statistics for a finite number of polarons in a neutralizing background

DOI:https://doi.org/10.1088/0953-8984/19/25/255206

Pag. 1-9

Brosens Fons1, Klimin Serghei12, Devreese Josef T.13
 
1 University of Antwerp,
2 Moldova State University,
3 Eindhoven University of Technology
 
 
Disponibil în IBN: 5 martie 2024


Rezumat

The ground-state energy of an N-polaron system, confined to a spherical quantum dot with a neutralizing background charge, is investigated within an all-coupling many-body path-integral variational principle, taking into account both the Fermi statistics of the polarons and the electron-electron interaction. The treatment of the ground-state energy is performed for both closed-shell and open-shell systems. The average fermion density in the neutral spherical dot is characterized by the Wigner-Seitz parameter rs. For a sufficiently large but finite number of polarons, the dependence of the ground-state energy on rs is very similar to that for a polaron gas in bulk. Hence, we can conclude that the ground-state properties of a polaron gas in bulk can be qualitatively described using a model of a finite number of polarons in a confinement potential provided by a neutralizing background charge

Cuvinte-cheie
Engineering controlled terms Electrons, Fermions, Ground state, Parameter estimation, Semiconductor quantum dots, Statistics Engineering uncontrolled terms Fermi statistics, Fermion density, Neutral spherical dots, Quantum statistics Engineering main heading Polarons

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<title xml:lang='en'>Quantum statistics for a finite number of polarons in a neutralizing background</title>
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<subject>Engineering controlled terms
Electrons</subject>
<subject>Fermions</subject>
<subject>Ground state</subject>
<subject>Parameter estimation</subject>
<subject>Semiconductor quantum dots</subject>
<subject>Statistics
Engineering uncontrolled terms
Fermi statistics</subject>
<subject>Fermion density</subject>
<subject>Neutral spherical dots</subject>
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Engineering main heading
Polarons</subject>
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<description xml:lang='en' descriptionType='Abstract'><p>The ground-state energy of an N-polaron system, confined to a spherical quantum dot with a neutralizing background charge, is investigated within an all-coupling many-body path-integral variational principle, taking into account both the Fermi statistics of the polarons and the electron-electron interaction. The treatment of the ground-state energy is performed for both closed-shell and open-shell systems. The average fermion density in the neutral spherical dot is characterized by the Wigner-Seitz parameter r<sub>s</sub>. For a sufficiently large but finite number of polarons, the dependence of the ground-state energy on r<sub>s</sub>&nbsp;is very similar to that for a polaron gas in bulk. Hence, we can conclude that the ground-state properties of a polaron gas in bulk can be qualitatively described using a model of a finite number of polarons in a confinement potential provided by a neutralizing background charge</p></description>
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