Giant oscillations in the Hall conductivity of weakly coupled quantum wires
- 15 January 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 47 (3), 1675-1678
- https://doi.org/10.1103/physrevb.47.1675
Abstract
We find that the Hall conductivity of an array of weakly coupled quantum wires has sharp maxima when the Fermi level is coincident with one of a discrete set of energies at which resonant tunneling between nearby wires is allowed. When only one subband is occupied in the quantum wires, gaps in the density of states of the coupled system open at the resonant energies and the Hall conductivity at the maxima is quantized in units of /h. For Fermi energies away from the resonant values the Hall conductivity is strongly suppressed and attains a value reflecting the linear response of isolated quantum wires.
Keywords
This publication has 12 references indexed in Scilit:
- Electrical and thermal properties of a two-dimensional electron gas in a one-dimensional periodic potentialPhysical Review B, 1992
- Quantum-dot helium: Effects of deviations from a parabolic confinement potentialPhysical Review B, 1991
- Magnetoresistance oscillations in a grid potential: Indication of a Hofstadter-type energy spectrumPhysical Review B, 1991
- Thermomagnetic transport coefficients of a periodically modulated two-dimensional electron gasPhysical Review B, 1990
- Theory of magnetotransport in two-dimensional electron systems with unidirectional periodic modulationPhysical Review B, 1990
- Magnetic breakdown and magnetoresistance oscillations in a periodically modulated two-dimensional electron gasPhysical Review B, 1990
- Guiding-center-drift resonance in a periodically modulated two-dimensional electron gasPhysical Review Letters, 1989
- Landau band conductivity in a two-dimensional electron system modulated by an artificial one-dimensional superlattice potentialPhysical Review Letters, 1989
- Novel magnetoresistance oscillations in a periodically modulated two-dimensional electron gasPhysical Review Letters, 1989
- Theory of quantised Hall conductivity in two dimensionsJournal of Physics C: Solid State Physics, 1982