Bound states of L-shaped or T-shaped quantum wires in inhomogeneous magnetic fields

Abstract

The bound state energies of L-shaped or T-shaped quantum wires in inhomogeous magnetic fields are found to depend strongly on the asymmetric parameter $\alpha =W_2/W_1$, i.e. the ratio of the arm widths. Two effects of magnetic field on bound state energies of the electron are obtained. One is the depletion effect which purges the electron out of the OQD system. The other is to create an effective potential due to quantized Landau levels of the magnetic field. The bound state energies of the electron in L-shaped or T-shaped quantum wires are found to depend quadratically (linearly) on the magnetic field in the weak (strong) field region and are independent of the direction of the magnetic field. A simple model is proposed to explain the behavior of the magnetic dependence of the bound state energy both in weak and strong magnetic field regions.

4 pages, 4 figures

References in corpus (4)

• Shape-independent scaling of excitonic confinement in realistic quantum wires
• Experimental Evidence for Coulomb Charging Effects in an Open Quantum Dot at Zero Magnetic Field
• Band structure and optical anisotropy in V-shaped and T-shaped semiconductor quantum wires
• Resonant transmission through an open quantum dot

Cited by in corpus (5)

• Quasi-bound states and Fano effect in T-shaped graphene nanoribbons
• Majorana fermions in $T$-shaped semiconductor nanostructures
• Ballistic transport through coupled T-shaped quantum wires
• Bandgap Narrowing in Quantum Wires
• Localized states in a semiconductor quantum ring with a tangent wire