Related Experiment Video
Updated: Aug 6, 2026
05:39
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Frustrated polyelectrolyte bundles and T= 0 Josephson-junction arrays
Gregory M Grason1, Robijn F Bruinsma
1Department of Physics and Astronomy, University of California at Los Angeles, 90024, USA.
Physical Review Letters
|August 16, 2006
Summary
We found a connection between polyelectrolyte bundles and Josephson-junction arrays. This reveals a liquid-to-solid charge transition and universal shear response in polyelectrolyte systems.
Area of Science:
- Condensed matter physics
- Polymer physics
- Materials science
Background:
- Polyelectrolyte bundles exhibit complex phase behaviors.
- Frustrated Josephson-junction arrays are quantum systems with unique transitions.
Purpose of the Study:
- To establish a mapping between hexagonal polyelectrolyte bundles and 2D frustrated Josephson-junction arrays.
- To understand the insulator-to-superconductor transition in quantum systems and its classical analog.
Main Methods:
- Developing a one-to-one correspondence between the two model systems.
- Analyzing the role of vector potential in quantum systems and elastic strain in classical systems.
Main Results:
- The T = 0 insulator-to-superconductor transition maps to a continuous liquid-to-solid charge transition.
- Elastic strain in polyelectrolytes corresponds to vector potential in Josephson junctions.
- The transition involves spontaneous breaking of discrete symmetry related to chiral patterning.
Conclusions:
- Polyelectrolyte bundles exhibit a universal response to shear at the liquid-to-solid transition.
- The established mapping provides new insights into both quantum and classical systems.
More Related Videos
08:07Ultrahigh Density Array of Vertically Aligned Small-molecular Organic Nanowires on Arbitrary Substrates
Published on: June 18, 2013
09:55Preparation of Janus Particles and Alternating Current Electrokinetic Measurements with a Rapidly Fabricated Indium Tin Oxide Electrode Array
Published on: June 23, 2017
Related Concept Videos
01:27Electrostatic Boundary Conditions in Dielectrics
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
01:27The Debye–Hückel Theory of Electrolyte Solutions
The Debye–Hückel theory, established by Peter Debye and Erich Hückel in 1923, is a fundamental concept in physical chemistry. It provides an understanding of the behavior of strong electrolytes in solution, particularly explaining their deviations from ideal behavior.The theory is based on Coulombic interactions (the attraction or repulsion between charged particles) between ions in solution. In an ionic solution, oppositely charged ions tend to attract each other. This means that cations...
02:34Polymers
The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the properties that they exhibit. Additionally,...
02:34Polymers
The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the properties that they exhibit. Additionally,...
02:34Polymers
The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the properties that they exhibit. Additionally,...
01:21Junction Potentials in Galvanic Cells
The Nernst equation, derived under the assumption of thermodynamic equilibrium, calculates the electromotive force (emf) as the sum of potential differences at phase boundaries in a reversible cell without a liquid junction. However, in irreversible cells such as the Daniell cell, an additional potential difference named the liquid-junction potential (EJ) arises across the interface of two electrolyte solutions due to different ion diffusion rates. This EJ represents the potential difference...