Related Experiment Video
Updated: May 18, 2026

05:39
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Imaging fractional incompressible stripes in integer quantum Hall systems.
Nicola Paradiso1, Stefan Heun, Stefano Roddaro
1NEST, Istituto Nanoscienze-CNR and Scuola Normale Superiore, Pisa, Italy.
Physical Review Letters
|September 26, 2012
Summary
Fractional features were observed in all integer quantum Hall constrictions studied using scanning-gate microscopy. This provides evidence for fractional substructures within integer edge states, supporting edge-reconstruction theory.
Area of Science:
- Condensed Matter Physics
- Quantum Hall Effect
Background:
- Conflicting experimental evidence exists regarding fractional order in integer quantum Hall systems.
- Integer edge states are sometimes viewed as monolithic, lacking inner structure, while other studies suggest fractional substructures.
Purpose of the Study:
- To investigate the spatial features of integer quantum Hall edge systems using advanced low-temperature scanning probe techniques.
- To unambiguously determine the presence of fractional features within integer quantum Hall constrictions.
Main Methods:
- Utilized low-temperature scanning probe techniques, specifically scanning-gate microscopy.
- Studied integer quantum Hall constrictions to probe edge state properties.
Main Results:
- Fractional features were unambiguously observed in every integer quantum Hall constriction examined.
- Provided experimental estimates for the width of fractional incompressible stripes at various filling factors (1/3, 2/5, 3/5, 2/3).
Conclusions:
- The findings confirm the existence of fractional substructures within integer quantum Hall edge states.
- The experimental results align well with predictions from the edge-reconstruction theory.
Related Concept Videos
The Hall Effect
Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
¹H NMR: Interpreting Distorted and Overlapping Signals
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule
In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1 triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the others.

