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Related Concept Videos

Resonance and Hybrid Structures02:16

Resonance and Hybrid Structures

According to the theory of resonance, if two or more Lewis structures with the same arrangement of atoms can be written for a molecule, ion, or radical, the actual distribution of electrons is an average of that shown by the various Lewis structures.
Resonance Structures and Resonance Hybrids
The Lewis structure of a nitrite anion (NO2−) may actually be drawn in two different ways, distinguished by the locations of the N–O and N=O bonds.
Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Equipotential Surfaces and Conductors01:16

Equipotential Surfaces and Conductors

For a conductor in which all charges are at rest, the conductor's surface is equipotential. The electric field is always perpendicular to equipotential surfaces. Therefore, in a conductor with static charges, the electric field just outside the conductor is always perpendicular to the conductor's surface. Any tangential component of the electric field will cause charges to move inside the conductor, which will violate the electrostatic nature of the system. In an electrostatic situation, if a...
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Characteristics of Series Resonant Circuit01:24

Characteristics of Series Resonant Circuit

Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:
Limits with Oscillating Discontinuities01:19

Limits with Oscillating Discontinuities

An oscillating discontinuity is a type of discontinuity in which a function’s values fluctuate infinitely often as the input approaches a particular point. Unlike jump discontinuities, where the function suddenly shifts between two values, or infinite discontinuities, where the function diverges without bound, an oscillating discontinuity arises from rapid back-and-forth variation. Because the function never stabilizes toward a single value, no finite limit exists at that point.One of the most...

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Updated: May 9, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
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Tunable non-integer high-harmonic generation in a topological insulator.

C P Schmid1, L Weigl1, P Grössing2

  • 1Institute of Experimental and Applied Physics, University of Regensburg, Regensburg, Germany.

Nature
|May 20, 2021
PubMed
Summary
This summary is machine-generated.

Researchers generated high-order harmonic radiation in topological insulators, observing unique surface effects and controllable frequency shifts. This opens doors for exploring topology and developing new electronic devices.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Optics
  • Materials Science

Background:

  • High-order harmonic (HH) generation reveals electron dynamics in solids under intense light.
  • Topological materials are predicted to exhibit unconventional HH generation due to their unique electronic properties.

Purpose of the Study:

  • To experimentally demonstrate and characterize HH generation in a 3D topological insulator.
  • To investigate the role of topological surface states in HH emission.
  • To explore potential applications in topological electronics.

Main Methods:

  • Experimental demonstration of HH generation using intense terahertz fields on bismuth telluride.
  • Analysis of HH spectra to distinguish between bulk and surface contributions.
  • Investigation of carrier-envelope phase effects on HH emission.

Main Results:

  • Successful HH generation observed in a 3D topological insulator (bismuth telluride).
  • Distinct HH generation from topological surface states, enhanced by spin-momentum locking and quasi-relativistic dispersion.
  • Continuous shifting of HH orders by varying the driving field's carrier-envelope phase.
  • Observed polarization patterns consistent with anomalous Berry curvature and meandering Dirac fermion trajectories.

Conclusions:

  • Topological insulators provide a unique platform for studying strong-field physics and topology.
  • The findings suggest potential for non-dissipative topological electronics operating at infrared frequencies.