- Open Access
Phase Space Fractons
Phys. Rev. Lett. 136, 126504 – Published 26 March, 2026
DOI: https://doi.org/10.1103/b974-mpkc
Abstract
Perhaps the simplest approach to constructing models with subdimensional particles or fractons is to require the conservation of dipole or higher multipole moments. We generalize this approach to allow for moments in phase space and classify all possible classical fracton models with phase-space multipole conservation laws. We focus on a new self-dual model that conserves both dipole and quadrupole moments in position and momentum; we analyze its dynamics and find quasiperiodic orbits in phase space that evade ergodic exploration of the full phase space.
Physics Subject Headings (PhySH)
Article Text
References (9)
- A. Prakash, A. Goriely, and S. L. Sondhi, Classical nonrelativistic fractons, Phys. Rev. B 109, 054313 (2024).
- A. Prakash, Y. Sadki, and S. L. Sondhi, Machian fractons, Hamiltonian attractors, and nonequilibrium steady states, Phys. Rev. B 110, 024305 (2024).
- A. Babbar, Y. Sadki, A. Prakash, and S. L Sondhi, Classical fractons: Local chaos, global broken ergodicity, and an arrow of time, Phys. Rev. B 111, 245134 (2025).
- A. Gromov and L. Radzihovsky, Colloquium: Fracton matter, Rev. Mod. Phys. 96, 011001 (2024).
- M. Pretko, X. Chen, and Y. You, Fracton phases of matter, Int. J. Mod. Phys. A 35, 2030003 (2020).
- R. M. Nandkishore and M. Hermele, Fractons, Annu. Rev. Condens. Matter Phys. 10, 295 (2019).
Technically we plot against for each particle on the same plot, which is not the true -dimensional phase space.
- Y. Sadki, A. Prakash, and S. L. Sondhi, Continuum fractons: Quantization and the many body problem, arXiv:2510.00110.
- J. Classen-Howes, R. Senese, and A. Prakash, Universal freezing transitions of dipole-conserving chains, Phys. Rev. B 112, 125148 (2025).
