Affiliation:
1. Boston University
2. International Institute of Physics
3. Londrina State University
Abstract
In this work we propose a \mathbb{Z}_NℤN
clock model which is exactly solvable on the lattice. We find exotic
properties for the low-energy physics, such as UV/IR mixing and
excitations with restricted mobility, that resemble fractonic physics
from higher dimensional models. We then study the continuum descriptions
for the lattice system in two distinct regimes and find two qualitative
distinct field theories for each one of them. A characteristic time
scale that grows exponentially fast with N^2N2
(and diverges rapidly as function of system parameters) separates these
two regimes. For times below this scale, the system is described by an
effective fractonic Chern-Simons-like action, where higher-form
symmetries prevent quasiparticles from hopping. In this regime, the
system behaves effectively as a fracton as isolated particles, in
practice, never leave their original position. Beyond the large
characteristic time scale, the excitations are mobile and the effective
field theory is given by a pure mutual Chern-Simons action. In this
regime, the UV/IR properties of the system is captured by a peculiar
realization of the translation group.
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
United States Department of Energy
Subject
General Physics and Astronomy
Cited by
11 articles.
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