Calculation of Energy Levels of Quantum Wires with V-shaped Cross-Section and Variable Width

In this work, we have analytically calculated the energy spectrum of electrons and holes of quantum wires with V-shaped cross-sections and variable widths. To modify the wire structure, we have used the equations proposed by Inoshita et al. We introduce a new effective potential according to the shape of the cross-section of this nanowire for solving the Schrodinger equation. Using this proposed effective potential and considering a suitable modified coordinate (mapping coordinate) that enables us to separate two-dimensional wave functions into two one-dimensional equations. we have calculated the wave functions and corresponding eigenvalues of the charge carriers in these nanowires. We find that by increasing the curvature of the top of the quantum wire (b) the energy of the charge carriers will be decreased. Our results are in good agreement with previous research. The results of this work are valuable for studying the physical properties of V-shaped nanowires that require analytical computation.