Related Experiment Video
Updated: Dec 30, 2025
09:19
Fabrication and Characterization of Disordered Polymer Optical Fibers for Transverse Anderson Localization of Light
Published on: July 29, 2013
11.8K
Localization, Topology, and Quantized Transport in Disordered Floquet Systems
Matteo M Wauters1, Angelo Russomanno2,3, Roberta Citro4
1SISSA, Via Bonomea 265, I-34136 Trieste, Italy.
Physical Review Letters
|January 18, 2020
Summary
Periodic driving prevents Anderson localization in disordered topological systems, enabling quantized currents. A disorder-driven transition delocalizes Floquet states, changing the spectrum.
Area of Science:
- Condensed Matter Physics
- Quantum Transport
- Topological Materials
Background:
- Disorder typically causes Anderson localization, hindering transport.
- Topological systems exhibit protected transport properties.
- Periodic driving (Floquet engineering) can modify material properties.
Purpose of the Study:
- Investigate disorder effects on periodically driven topological transport.
- Understand the role of Floquet states in delocalization.
- Identify conditions for quantized current in disordered systems.
Main Methods:
- Studied a one-dimensional disordered model with periodic driving.
- Analyzed instantaneous eigenstates and Floquet states.
- Examined the system's spectrum and transport properties.
Main Results:
- Instantaneous eigenstates show Anderson localization.
- Periodic driving delocalizes Floquet states, allowing quantized current.
- A disorder-driven localization-delocalization transition occurs in Floquet states.
Conclusions:
- Periodic driving is crucial for maintaining topological transport in disordered systems.
- Floquet state delocalization is linked to a phase transition at strong disorder.
- The Floquet spectrum transitions from pure-point to continuous in the delocalized phase.
More Related Videos
08:04Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
8.9K
10:35Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
Published on: September 26, 2014
12.6K
Related Concept Videos
01:10First Law: Particles in One-dimensional Equilibrium
7.8K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
7.8K
02:39Entropy
34.7K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
34.7K
01:18First Law: Particles in Two-dimensional Equilibrium
13.9K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
Newton's first law tells us about...
13.9K
02:32The de Broglie Wavelength
32.7K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
32.7K
02:22Regulated mRNA Transport
6.8K
In eukaryotes, transcription and translation are compartmentalized; an mRNA is first synthesized in the nucleus and then selectively transported to the cytoplasm for protein synthesis. Before transport, a pre-mRNA undergoes several steps of post-transcriptional modifications including splicing, 5' capping, and the addition of a poly-adenine tail. Various proteins bind to the pre-mRNA during these modifications. The mRNA transport takes place with the help of multiple proteins playing...
6.8K
01:02¹H NMR: Interpreting Distorted and Overlapping Signals
1.4K
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...
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...
1.4K