Fractons from Vector Gauge Theory
Abstract
Motivated by the prediction of fractonic topological defects in a quantum crystal, we utilize a reformulated elasticity duality to derive a description of a fracton phase in terms of coupled vector U(1) gauge theories. The fracton order and restricted mobility emerge as a result of an unusual Gauss law where electric field lines of one gauge field act as sources of charge for others. At low energies this vector gauge theory reduces to the previously studied fractonic symmetric tensor gauge theory. We construct the corresponding lattice model and a number of generalizations, which realize fracton phases via a condensation of stringlike excitations built out of charged particles, analogous to the p -string condensation mechanism of the gapped X -cube fracton phase.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 2020
- DOI:
- 10.1103/PhysRevLett.124.050402
- arXiv:
- arXiv:1905.06951
- Bibcode:
- 2020PhRvL.124e0402R
- Keywords:
-
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 7 pages, 1 figure. v2 (published version) includes generalization to the vector-charge theory, and improved discussion of compactness and associated symmetries in 2D