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Emergent SU(3) Symmetry in Random Spin-1 Chains.
V L Quito1, José A Hoyos2, E Miranda1
1Instituto de Física Gleb Wataghin, Unicamp, Rua Sérgio Buarque de Holanda 777, CEP 13083-859 Campinas, São Paulo, Brazil.
Generic random spin-1 chains exhibit emergent SU(3) symmetry, revealing two distinct random-singlet phases. These phases involve bound spin pairs ("mesons") and spin trios ("baryons"), governed by this novel symmetry.
Area of Science:
- Condensed Matter Physics
- Quantum Magnetism
- High Energy Physics
Background:
- Spin chains are fundamental models in condensed matter physics.
- Understanding emergent symmetries is crucial for classifying quantum phases.
- Random systems introduce complexity beyond ordered models.
Purpose of the Study:
- To investigate emergent symmetries in random spin-1 chains.
- To map the zero-temperature phase diagram of these systems.
- To identify and characterize novel random-singlet phases.
Main Methods:
- Analysis of SU(2)-invariant random spin-1 chains.
- Zero-temperature phase diagram mapping.
- Identification of phases based on emergent SU(3) symmetry.
Main Results:
- Discovery of phases with emergent SU(3) symmetry in random spin-1 chains.
- Characterization of two distinct random-singlet phases: 'mesons' (spin pairs) and 'baryons' (spin trios).
- Demonstration that emergent SU(3) symmetry governs dipolar and quadrupolar spin operator behavior.
Conclusions:
- Random spin-1 chains can host phases with emergent SU(3) symmetry.
- The identified phases, characterized by 'mesons' and 'baryons', are a direct consequence of this emergent symmetry.
- Emergent SU(3) symmetry provides a unifying principle for understanding spin correlations in these complex systems.
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