Bound States and Many-Body Effects in H-Shaped Quantum Wires

2007/06/06 by Kourosh Nozari, Nozari, Kourosh, Mehrnoush Mirzaei +1
Materials Science · Physics and Astronomy · #Advanced Chemical Physics Studies #Chemical and Physical Properties of Materials #FOS: Physical sciences #Scientific Research and Discoveries #Soft Condensed Matter (cond-mat.soft) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.soft #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.0706.0777

25 Pages, 11 Figures

arxiv created 2007/06/06 · openalex publication_date 2007/06/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, bound states energies and corresponding wave functions of H-shaped quantum wires are calculated numerically in the presence of external magnetic and electric fields and within the Landau gauge. With a suitable definition of external confinement potential, we present a numerical algorithm to calculate the profile of probability distribution of charge carriers. Our analysis shows that in the presence of external electric and magnetic fields, bound state properties of carriers are sensitive functions of an asymmetric parameter a=\fracW_xW_y which measures the relative width of the well in two directions. We also study many body effect of bandgap renormalization in this quasi one dimensional system within dynamical random phase approximation.

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