Related Experiment Video
Updated: Jun 24, 2025
08:00
DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers
Published on: October 25, 2017
6.9K
Finite Width of Anyons Changes Their Braiding Signature.
K Iyer1, F Ronetti1, B Grémaud1
1Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France.
Physical Review Letters
|June 10, 2024
Summary
Finite anyon width significantly impacts particle braiding statistics and transport properties in the fractional quantum Hall effect (FQHE). This finding explains recent experimental results, highlighting the importance of anyon width in quantum transport studies.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
Background:
- Anyons exhibit unique braiding statistics due to nontrivial exchange phases.
- Experimental evidence links anyonic braiding to edge transport in the fractional quantum Hall effect (FQHE).
Purpose of the Study:
- To investigate the influence of finite anyon width on transport signatures during braiding.
- To reconcile theoretical models with experimental observations in FQHE systems.
Main Methods:
- Theoretical analysis of anyonic braiding with finite width.
- Comparison of theoretical predictions with experimental data at FQHE filling factor 2/5.
Main Results:
- Finite anyon width, even when small, profoundly affects transport properties and braiding signatures.
- The theoretical model incorporating finite width successfully explains recent experimental findings in FQQHE.
- The impact of finite width is particularly significant when the exchange phase exceeds π/2.
Conclusions:
- The finite width of anyons is a critical factor in experimental setups involving anyonic braiding.
- Understanding anyon width is essential for accurate interpretation of quantum transport phenomena in FQHE.
- This research provides a more complete theoretical framework for studying anyonic systems.
Related Concept Videos
01:07Symmetric Member in Bending
168
In the study of the mechanics of materials, analyzing the behavior of prismatic members under opposing couples is crucial for understanding internal stress distributions, which are essential for structural design. When subjected to couples, a prismatic member experiences internal forces that maintain equilibrium. A couple, characterized by two equal and opposite forces, creates a moment but no resultant force. The internal forces at any section cut of the member must balance these external...
168
01:18Unsymmetric Bending
327
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
327
01:10Interference: Path Lengths
1.3K
Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
1.3K
01:08Bending of Members Made of Several Materials
147
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
147
01:15Unsymmetric Bending - Angle of Neutral Axis
297
Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal...
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal...
297
01:19Fineness Modulus
365
The fineness modulus (FM) of aggregate is a numerical index that measures the coarseness or fineness of the particles. It is calculated by adding the cumulative percentages of aggregate retained on each of a specified series of sieves and dividing the sum by 100.
Consider performing sieve analysis on sand through a set of ASTM sieves. The weight of aggregate retained in each sieve and pan placed at the bottom is recorded, as given in Column B of Table 1.
To determine the fineness modulus of...
Consider performing sieve analysis on sand through a set of ASTM sieves. The weight of aggregate retained in each sieve and pan placed at the bottom is recorded, as given in Column B of Table 1.
To determine the fineness modulus of...
365