Premium
On the Effective Electron Mass in Quantum Wires of Non‐Parabolic Semiconductors under a Parallel Magnetic Field
Author(s) -
Bhattacharyya D.,
Ghatak K. P.
Publication year - 1995
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221870235
Subject(s) - effective mass (spring–mass system) , condensed matter physics , electron , magnetic field , physics , fermi energy , limiting , quantum wire , semiconductor , fermi level , quantum , fermi gamma ray space telescope , lattice (music) , quantum oscillations , fermi gas , quantum mechanics , mechanical engineering , acoustics , engineering
Abstract The effective electron mass at the Fermi level in quantum wires of non‐parabolic semiconductors in the presence of a parallel magnetic field is studied on the basis of a newly derived 1D‐electron dispersion law. It is found, taking n‐Hg 1− x Cd x Te and In 1− x Ga x As y P 1‐ y lattice matched to InP as examples, that the effective Fermi level mass depends on the size quantum numbers in addition to the Fermi energy due to the presence of a magnetic field. The effective masses corresponding to different subbands increase with increasing electron concentration and decreasing film thickness in various ways. In addition, the corresponding well‐known results of quantum wires of wide gap materials in absence of a magnetic field are also obtained as special cases of a generalized formulation under certain limiting conditions.