Bosonization approach to the edge reconstruction of two-dimensional electron systems in a quantum dot

Itaru Yanagi, Susumu Kurihara

    Research output: Contribution to journalArticle

    Abstract

    We consider edge reconstruction of electrons in a two-dimensional harmonic trap under a strong magnetic field. In this system the edge reconstruction occurs as a result of competition between electron-electron interaction and confining potential. We develop a bosonization scheme for two-dimensional electron systems. With this method we obtain the excitation spectrum and demonstrate that the edge reconstruction occurs when magnetic field reaches a critical value. We also show that the edge reconstruction depends on the number of electrons. We calculate the third-order terms of bosons in Hamiltonian and examine the effect of those terms with a perturbation theory.

    Original languageEnglish
    JournalPhysical Review B - Condensed Matter and Materials Physics
    Volume72
    Issue number24
    DOIs
    Publication statusPublished - 2005 Dec 15

    ASJC Scopus subject areas

    • Condensed Matter Physics

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