Emergent SU(N) symmetry in disordered SO(N) spin chains
Abstract
Strongly disordered spin chains invariant under the SO(N) group are shown to display random-singlet phases with emergent SU(N) symmetry without fine tuning. The phases with emergent SU(N) symmetry are of two kinds: one has a ground state formed of randomly distributed singlets of strongly bound pairs of SO(N) spins (a `mesonic' phase), while the other has a ground state composed of singlets made out of strongly bound integer multiples of N SO(N) spins (a `baryonic' phase). The established mechanism is general and we put forward the cases of and as prime candidates for experimental realizations in material compounds and cold-atoms systems. We display universal temperature scaling and critical exponents for susceptibilities distinguishing these phases and characterizing the enlarging of the microscopic symmetries at low energies.
Keywords
Cite
@article{arxiv.1711.04781,
title = {Emergent SU(N) symmetry in disordered SO(N) spin chains},
author = {V. L. Quito and Pedro L. S. Lopes and José A. Hoyos and E. Miranda},
journal= {arXiv preprint arXiv:1711.04781},
year = {2020}
}
Comments
5 pages, 2 figures, Contribution to the Topical Issue "Recent Advances in the Theory of Disordered Systems", edited by Ferenc Igl\'oi and Heiko Rieger