Intrinsic integer quantum Hall effect in a quantum wire

Self-consistent calculations are made of the electrostatic Hall potential (EHP), local chemical potential (LCP), and current density in a 100-nm-wide wire containing two-dimensional electrons in a perpendicular magnetic field B when either one or two subbands are occupied. The corresponding Hall resistances, ${\mathit{R}}_{\mathrm{EHP}}$ and ${\mathit{R}}_{\mathrm{LCP}}$, are also calculated. The former is nearly linear in B in spite of subband depopulation. The latter is quantized but the quantization steps are rounded because of overlap of the forward and backward wave functions.