Magneto-conductance fingerprints of purely quantum states in the open quantum dot limit

Journal of Physics. Condensed Matter : an Institute of Physics Journal
Michel Mendoza, Sebastian Ujevic

Abstract

We present quantum magneto-conductance simulations, at the quantum low energy condition, to study the open quantum dot limit. The longitudinal conductance G(E,B) of spinless and non-interacting electrons is mapped as a function of the magnetic field B and the energy E of the electrons. The quantum dot linked to the semi-infinite leads is tuned by quantum point contacts of variable width w. We analyze the transition from a quantum wire to an open quantum dot and then to an effective closed system. The transition, as a function of w, occurs in the following sequence: evolution of quasi-Landau levels to Fano resonances and quasi-bound states between the quasi-Landau levels, followed by the formation of crossings that evolve to anti-crossings inside the quasi-Landau level region. After that, Fano resonances are created between the quasi-Landau states with the final generation of resonant tunneling peaks. By comparing the G(E,B) maps, we identify the closed and open-like limits of the system as a function of the applied magnetic field. These results were used to build quantum openness diagrams G(w,B). Also, these maps allow us to determine the w-limit value from which we can qualitatively relate the closed system properties to the o...Continue Reading

References

Sep 15, 1994·Physical Review. B, Condensed Matter·J SkjånesG Schön
May 15, 1991·Physical Review. B, Condensed Matter· van Wees BJC T Foxon
Nov 15, 1991·Physical Review. B, Condensed Matter·H U BarangerA D Stone
Feb 15, 1992·Physical Review. B, Condensed Matter·R NötzelM Hohenstein
Feb 29, 1988·Physical Review Letters· van Wees BJC T Foxon
Oct 9, 2002·Physical Review Letters·K R ZolleisG A C Jones
Aug 25, 2004·Physical Review Letters·D K FerryJ P Bird

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Citations

Jan 24, 2019·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Luis I A LópezMichel Mendoza
Jan 21, 2014·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Luis I A LópezMichel Mendoza
Jun 10, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Michel Mendoza, Luis I A López

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