Варiацiйний метод обчислення критичної вiдстанi в задачi двох кулонiвських центрiв у графенi

The supercritical instability in a system of two identical charged impurities in gapped graphene described in the continuous limit by the two-dimensional Dirac equation has been studied. The case where the charge of each impurity is subcritical, but their sum exceeds the critical value calculated in...

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Bibliographische Detailangaben
Datum:2018
1. Verfasser: Sobol, O. O.
Format: Artikel
Sprache:English
Ukrainian
Veröffentlicht: Publishing house "Academperiodika" 2018
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Online Zugang:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018479
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Назва журналу:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
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Zusammenfassung:The supercritical instability in a system of two identical charged impurities in gapped graphene described in the continuous limit by the two-dimensional Dirac equation has been studied. The case where the charge of each impurity is subcritical, but their sum exceeds the critical value calculated in the version with a single Coulomb center, is considered. Using the developed variational method, the dependence of the critical distance Rcr between the impurities on their total charge is calculated. The Rcr-value is found to grow as the total impurity charge increases and the quasiparticle band gap decreases. The results of calculations are compared with those obtained in earlier researches.