Related Experiment Video
Updated: Jul 30, 2025
09:20
The Assembly and Application of 'Shear Rings': A Novel Endothelial Model for Orbital, Unidirectional and Periodic Fluid Flow and Shear Stress
Published on: October 31, 2016
8.1K
Circular current in a one-dimensional Hubbard quasi-periodic Su-Schrieffer-Heeger ring
1Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barrackpore Trunk Road, Kolkata 700 108, India.
Summary
This study explores interacting electrons in a quantum ring with Aubry-Andre-Harper site energies and an Aharonov-Bohm flux. Results reveal non-decaying charge currents and unusual phenomena due to electron-electron interactions.
Area of Science:
- Condensed Matter Physics
- Quantum Mechanics
- Materials Science
Background:
- Investigates electron behavior in quantum rings under specific energy patterns.
- Considers the influence of Aharonov-Bohm flux on electronic properties.
- Incorporates electron-electron interactions using the Hubbard model.
Purpose of the Study:
- To analyze the characteristics of non-decaying charge currents in a Su-Schrieffer-Heeger quantum ring.
- To study the impact of Hubbard interaction, Aubry-Andre-Harper modulation, and hopping dimerization on current behavior.
- To explore unusual phenomena in quasi-crystals with correlated hopping integrals.
Main Methods:
- Utilizes a tight-binding framework for electron behavior analysis.
- Employs the mean-field approximation to compute results.
- Considers both non-staggered and staggered configurations of site energies.
Main Results:
- A non-decaying charge current is established due to the Aharonov-Bohm flux.
- The current's characteristics are critically dependent on interaction parameters and ring configurations.
- Unusual electronic phenomena are observed under varied conditions.
Conclusions:
- The study provides insights into interacting electron behavior in quasi-crystalline structures.
- Findings may aid in analyzing correlated electron systems in similar materials.
- Comparison between exact and mean-field results validates the analysis.
Related Concept Videos
01:16Magnetic Field Of A Current Loop
4.7K
Consider a circular loop with a radius a, that carries a current I. The magnetic field due to the current at an arbitrary point P along the axis of the loop can be calculated using the Biot-Savart law.
4.7K
01:13Torque On A Current Loop In A Magnetic Field
4.3K
The most common application of magnetic force on current-carrying wires is in electric motors. These consist of loops of wire, which are placed between the magnets with a magnetic field. When current flows through the loops, the magnetic field applies torque, which causes the shaft to rotate, thus converting electrical energy to mechanical energy.
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
Consider a rectangular current-carrying loop containing N turns of wire, placed in a uniform magnetic field. The net force on a current-carrying loop...
4.3K
01:30Oscillations In An LC Circuit
2.4K
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
2.4K
01:10Deformation in a Circular Shaft
393
One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
393
01:42Simple Harmonic Motion and Uniform Circular Motion
4.3K
While simple harmonic motion and uniform circular motion may be two separate concepts, they correlate and interlink with each other. Simple harmonic motion is an oscillatory motion in a system where the net force can be described by Hooke's law, while uniform circular motion is the motion of an object in a circular path at constant speed.
There is an easy way to produce simple harmonic motion by using uniform circular motion. For instance, consider a ball attached to a uniformly rotating...
There is an easy way to produce simple harmonic motion by using uniform circular motion. For instance, consider a ball attached to a uniformly rotating...
4.3K
01:13Circular Shaft - Stresses in Linear Range
325
Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent deformation. So, the formula for shearing strain is revisited. This formula is multiplied by the modulus of rigidity, and then Hooke's Law for the shearing stress and strain is applied. As a result, the equation for shearing stress in a shaft can be derived.
325