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Updated: Jul 1, 2025
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Generating a Fractal Microstructure of Laminin-111 to Signal to Cells
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Large N Fractons
1Department of Physics and Astronomy, University of Victoria, Victoria, British Columbia V8W 3P6, Canada.
Physical Review Letters
|March 1, 2024
Summary
We studied N-component field theories with exotic symmetries and found that immobile charges become mobile quasiparticles due to strong correlations. This leads to spontaneous breaking of dipole symmetry and a Goldstone description.
Area of Science:
- Theoretical physics
- Condensed matter theory
Background:
- Exotic spacetime symmetries, such as conserved dipole moments, lead to unique charge behaviors.
- Microscopic charges in these theories are immobile due to symmetry, exhibiting fracton-like properties.
Purpose of the Study:
- To investigate the behavior of N-component fields with exotic spacetime symmetries.
- To understand the implications of conserved dipole moments on charge mobility and system dynamics.
Main Methods:
- Utilizing collective field theory to solve the models.
- Employing a large N approximation to analyze the system's behavior.
Main Results:
- The large N solution reveals strong correlations within the models.
- Interactions effectively 'dress' microscopic charges, rendering them mobile and long-lived quasiparticles.
- Dipole symmetry is spontaneously broken across the entire phase diagram.
Conclusions:
- Theories with conserved dipole symmetry exhibit emergent mobile quasiparticles.
- Spontaneous breaking of dipole symmetry results in a low-energy Goldstone description.
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