Wave function mapping conditions in Open Quantum Dots structures

Abstract

We discuss the minimal conditions for wave function spectroscopy, in which resonant tunneling is the measurement tool. Two systems are addressed: resonant tunneling diodes, as a toy model, and open quantum dots. The toy model is used to analyze the crucial tunning between the necessary resolution in current-voltage characteristics and the breakdown of the wave functions probing potentials into a level splitting characteristic of double quantum wells. The present results establish a parameter region where the wavefunction spectroscopy by resonant tunneling could be achieved. In the case of open quantum dots, a breakdown of the mapping condition is related to a change into a double quantum dot structure induced by the local probing potential. The analogy between the toy model and open quantum dots show that a precise control over shape and extention of the potential probes is irrelevant for wave function mapping. Moreover, the present system is a realization of a tunable Fano system in the wave function mapping regime.

6 pages, 6 figures

References in corpus (3)

• Tuning of the Fano Effect through a Quantum Dot in an Aharonov-Bohm Interferometer
• Scanning Fourier Spectroscopy: A microwave analog study to image transmission paths in quantum dots
• Conductance of a Quantum Point Contact in the presence of a Scanning Probe Microscope Tip

Cited by in corpus (5)

• Local Density of States in Mesoscopic Samples from Scanning Gate Microscopy
• Quantum Lissajous Scars
• Measurement of the Tip-Induced Potential in Scanning Gate Experiments
• Formation, prevalence, and stability of bouncing-ball quantum scars
• Conductance microscopy of quantum dots weakly or strongly coupled to the conducting channel