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Large N Fractons.

Kristan Jensen1, Amir Raz2

  • 1Department of Physics and Astronomy, University of Victoria, Victoria, British Columbia V8W 3P6, Canada.

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|March 1, 2024
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Summary
This summary is machine-generated.

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.

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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.