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

    Fingerprint

    Semiconductor quantum dots
    quantum dots
    Electrons
    Magnetic fields
    Electron-electron interactions
    Hamiltonians
    Bosons
    electrons
    magnetic fields
    confining
    electron scattering
    bosons
    perturbation theory
    traps
    harmonics
    excitation

    ASJC Scopus subject areas

    • Condensed Matter Physics

    Cite this

    Bosonization approach to the edge reconstruction of two-dimensional electron systems in a quantum dot. / Yanagi, Itaru; Kurihara, Susumu.

    In: Physical Review B - Condensed Matter and Materials Physics, Vol. 72, No. 24, 15.12.2005.

    Research output: Contribution to journalArticle

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