Interband absorption coefficient of the DMS cylindrical quantum wire
In this article, we study the influence of external parameters such as magnetic field, temperature, and concentration of magnetic atoms, on the optical properties of a cylindrical quantum wire dilute magnetic semiconductor (DMS). We assume that the height of the cylindrical quantum wire is much greater than the radius of its base. The quantum system is also affected by a constant magnetic field directed parallel to the height of the cylinder. We define the type of confining potential as parabolic and inverse parabolic. Solving the one-electron Schrödinger equation within the framework of the effective mass approximation, we find the energy spectrum and the wave function of an electron. Further, considering these expressions, we arrive at a relation describing the absorption coefficient for interband optical transitions. From the expression for the absorption coefficient, it follows that interband optical transitions are performed under the condition me=mh. Numerical results are presented Cd1-xMnxTe. According to the obtained results, it was found that the magnetic field, temperature, and concentration of magnetic atoms affect the maximum absorption coefficient for interband optical transitions. Namely, the increase in magnetic field as well as the concentration of Mn atoms shifts the maximum of the absorption coefficient to the blue side, and the increase in temperature shifts the maximum of the absorption coefficient to the red side.
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In this theoretical study, we investigate optical properties of a hollow cylindrical quantum wire in the presence of a homogeneous magnetic field. The magnetic field is applied parallel to the axis of the quantum wire. The investigations were achieved by solving the Schrödinger equation within the effective mass approximation. The optical properties studied were absorption coefficient (AC) of electromagnetic radiation and changes in refractive index (CRI) of the hollow cylinder. The parallel applied magnetic field lifts the degeneracy of states of opposite angular momentum (the ±|m|\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$\\pm |m |$$\\end{document} states, m being the angular momentum quantum number) known as the Zeeman splitting. As such, in the presence of magnetic field, AC splits into two branches, one corresponding to a transition involving the positive m states and the other corresponding to a transition involving the negative m states. Increase in intensity of the electromagnetic radiation reduces the magnitude of the AC. Presence of inner radius of the hollow cylindrical wire lowers transition energies. Apart from absorption due to the (m=0→±1)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$(m=0 \\rightarrow \\pm 1)$$\\end{document} transitions, the presence of the inner radius also facilitates absorption due the (m=-1→0)\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$(m=-1\\rightarrow 0)$$\\end{document} transition as the magnetic field strength increases, a phenomenon that does not happen in solid cylindrical quantum wires. The presence of the inner radius also enhances AC in strong magnetic field. Increase in intensity of the electromagnetic radiation affects the CRI (here considered up to third order), introducing a normal dispersion region in an otherwise anomalous region. The parallel magnetic field also splits the CRI depending on the sign of the m states involved in the transitions.
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The mechanism of carriers accompanied by spin-wave cloud and Jahn–Teller phononic cloud, called composite polaron, is proposed to explain the unusual transport and thermodynamic properties in perovskite manganites over all the temperature and magnetic field range. It is shown that the energy bandwidth of composite polarons is strongly renormalized with the increases of temperature and magnetic field, the bandwidth narrows with elevated temperature, while it broadens with increasing magnetic field. The resistivity of composite polarons increases with elevated temperature strongly, reaches a maximum near the Curie temperature TC, and decreases with the increase of magnetic field. The specific heat of composite polarons also exhibits a maximum near TC. These results agree with experiments in a broad temperature and magnetic field range, suggesting that composite polarons contribute to the unusual properties in manganites.
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In the present work, the optical properties of a GaAs cylindrical quantum dot in the presence of an applied magnetic field is studied. For this purpose, the effect of magnetic field on linear, nonlinear and total refractive index changes and absorption coefficients is investigated. According to the obtained results, it is found that: (i) The linear, nonlinear, and total refractive index changes increase and shift towards higher energies when the magnetic field increases. (ii) The linear, nonlinear, and total absorption coefficient increases when the magnetic field increases. Also, the resonance peak shifts towards higher energies by increasing magnetic field.
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