Emergent SU(N) symmetry in disordered SO(N) spin chains

Victor L. Quito, Pedro L. S. Lopes, José A. Hoyos () and Eduardo Miranda
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Victor L. Quito: Iowa State University
Pedro L. S. Lopes: Stewart Blusson Quantum Matter Institute, University of British Columbia
José A. Hoyos: Instituto de Física de São Carlos, Universidade de São Paulo, C.P. 369
Eduardo Miranda: Instituto de Física Gleb Wataghin, Unicamp, Rua Sérgio Buarque de Holanda, 777

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 1, 1-6

Abstract: 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 N = 2, 3, 4 and 6 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. Graphical abstract

Date: 2020
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DOI: 10.1140/epjb/e2019-100576-6

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