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

Details Bosonization approach to the edge reconstruction of two dimentional electron systems in a quantum dot Bosonization approach to the edge reconstruction of two dimentional electron systems in a quantum dot

2004-11-08

arxiv.org/abs/cond-mat/0411198v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5pages, 6figures

Scientific paper

10.1016/j.physb.2005.01.452

We consider the 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. To describe it, 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 the value of the magnetic field reaches a critical value. We also show that the edge reconstruction depends on the number of electrons. Additionally, we calculate the third order terms of bosons in Hamiltonian and examine the effect of those terms with a perturbation theory.

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