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

Author

Listed:
  • Victor L. Quito

    (Iowa State University
    Florida State University)

  • Pedro L. S. Lopes

    (Stewart Blusson Quantum Matter Institute, University of British Columbia
    Département de Physique, Institut Quantique and Regroupement Québécois sur les Matériaux de Pointe, Université de Sherbrooke, Sherbrooke)

  • 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)

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

Suggested Citation

  • Victor L. Quito & Pedro L. S. Lopes & José A. Hoyos & Eduardo Miranda, 2020. "Emergent SU(N) symmetry in disordered SO(N) spin chains," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(1), pages 1-6, January.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:1:d:10.1140_epjb_e2019-100576-6
    DOI: 10.1140/epjb/e2019-100576-6
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