Related Experiment Video
Updated: Jan 3, 2026

06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
9.6K
Majorana-like Zero Modes in Kekulé Distorted Sonic Lattices.
Penglin Gao1, Daniel Torrent2, Francisco Cervera3
1Department of Physics, Universidad Carlos III de Madrid, ES-28916 Leganès, Madrid, Spain.
Physical Review Letters
|November 26, 2019
Summary
Researchers demonstrate topologically protected acoustic bound states in bosonic systems. These states are analogous to Majorana bound states and are robust against defects, offering new possibilities for topological acoustics.
Area of Science:
- Topological physics
- Acoustics
- Condensed matter physics
Background:
- Topological phases in bosonic systems exhibit robust boundary modes for waveguiding.
- Topologically protected defect-bound states have not been demonstrated in bosonic settings.
- The Jackiw-Rossi mechanism in superconductors binds states to vortices.
Purpose of the Study:
- To demonstrate topologically bound acoustic states in a bosonic system.
- To create an acoustic analog of the Jackiw-Rossi mechanism.
- To investigate the robustness of these bound states against perturbations.
Main Methods:
- Numerical simulations of a 2D Kekulé-distorted triangular acoustic lattice.
- Experimental realization using a 3D-printed plastic matrix with a vortex defect.
- Measurement of acoustic response spectra.
Main Results:
- An acoustic mode was topologically bound to a vortex defect.
- The bound state is a bosonic analog of a Majorana bound state.
- The state is topologically protected against local perturbations and remains pinned to the Dirac frequency.
- Experimental measurements confirmed the predicted topological resonance, showing robustness despite losses.
Conclusions:
- Topologically bound acoustic states can be realized in bosonic systems.
- These states are robust analogs of Majorana bound states, offering potential for defect-immune acoustic devices.
- The study validates the acoustic analog of the Jackiw-Rossi mechanism.
Related Concept Videos
Complex Zeros
179
Complex zeros are the solutions to polynomial equations that include imaginary numbers, specifically, numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit defined by i2=-1. These zeros satisfy the equation P(x) = 0, where P(x) is a polynomial with real or complex coefficients. Since the complex number system includes all real numbers, it provides a complete framework for analyzing all possible roots of a polynomial.Every polynomial of degree n≥1 can be...
179
Modes of Standing Waves: II
1.5K
The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end....
1.5K
Modes of Standing Waves - I
3.8K
A close look at earthquakes provides evidence for the conditions appropriate for resonance, standing waves, and constructive and destructive interference. A building may vibrate for several seconds with a driving frequency matching the building's natural frequency of vibration; this produces a resonance that results in one building collapsing while the neighboring buildings do not. Often, buildings of a certain height are devastated, while other taller buildings remain intact. This...
3.8K
Fermi Level Dynamics
609
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
609
Standing Waves in a Cavity
1.4K
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:
1.4K
Limits with Oscillating Discontinuities
264
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...
264

