Related Experiment Video
Updated: Feb 10, 2026

09:23
Harmonic Nanoparticles for Regenerative Research
Published on: May 1, 2014
12.1K
High-Harmonic Generation in Solids with and without Topological Edge States
Dieter Bauer1, Kenneth K Hansen2
1Institute of Physics, University of Rostock, 18051 Rostock, Germany.
Physical Review Letters
|May 15, 2018
Summary
High-harmonic generation differs vastly between topological phases, with topological edge states dramatically altering electron interference and light emission. This reveals a giant topological effect with implications for controlling light sources and topological electronics.
Area of Science:
- Condensed Matter Physics
- Strong-Field Laser Physics
Background:
- Topological phases exhibit unique electronic properties.
- High-harmonic generation (HHG) is a process where atoms or molecules driven by intense laser fields emit high-frequency photons.
Purpose of the Study:
- Investigate HHG in two topological phases of a finite, 1D periodic structure.
- Explain the origin of significant differences in harmonic yield between topological phases.
Main Methods:
- Utilized self-consistent time-dependent density functional theory (TDDFT).
- Analyzed harmonic photon energies relative to the band gap.
- Examined electron interference in harmonic emission.
Main Results:
- Harmonic yield differed by up to 14 orders of magnitude between the two topological phases for photon energies below the band gap.
- This difference is attributed to the presence or absence of topological edge states.
- The degree of destructive interference in harmonic emission is strongly dependent on topological edge states.
Conclusions:
- A giant topological effect in HHG is demonstrated.
- HHG provides a sensitive probe for topological properties.
- This work bridges strong-field physics and topological condensed matter, enabling optical control of topological electronics and strong-field light sources.
Related Concept Videos
Harmonic Mean
3.8K
The arithmetic mean is usually skewed towards the larger values in the data set. Therefore, to avoid this inherent bias towards smaller values, the harmonic mean is used.
Take the example of the speed of a car, which is the measure of the rate of distance traveled. If the vehicle traverses the same distance back-and-forth, its average speed equals the total distance traveled divided by the total time taken. However, if the car moves with varying speeds, then the arithmetic mean is more skewed...
Take the example of the speed of a car, which is the measure of the rate of distance traveled. If the vehicle traverses the same distance back-and-forth, its average speed equals the total distance traveled divided by the total time taken. However, if the car moves with varying speeds, then the arithmetic mean is more skewed...
3.8K
Structures of Solids
18.0K
Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
18.0K
Metallic Solids
20.9K
Metallic solids such as crystals of copper, aluminum, and iron are formed by metal atoms. The structure of metallic crystals is often described as a uniform distribution of atomic nuclei within a “sea” of delocalized electrons. The atoms within such a metallic solid are held together by a unique force known as metallic bonding that gives rise to many useful and varied bulk properties.
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....
All metallic solids exhibit high thermal and electrical conductivity, metallic luster, and malleability....
20.9K
Network Covalent Solids
16.2K
Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
16.2K
Molecular and Ionic Solids
20.2K
Crystalline solids are divided into four types: molecular, ionic, metallic, and covalent network based on the type of constituent units and their interparticle interactions.
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
Molecular Solids
Molecular crystalline solids, such as ice, sucrose (table sugar), and iodine, are solids that are composed of neutral molecules as their constituent units. These molecules are held together by weak intermolecular forces such as London dispersion forces, dipole-dipole interactions, or hydrogen bonds, which...
20.2K
Simple Harmonic Motion
15.4K
Simple harmonic motion is the name given to oscillatory motion for a system where the net force can be described by Hooke's law. If the net force can be described by Hooke's law and there is no damping (by friction or other non-conservative forces), then a simple harmonic oscillator will oscillate with equal displacement on either side of the equilibrium position. To derive an equation for period and frequency, the equation of motion is used. The period of a simple harmonic oscillator is given...
15.4K

