Particle-hole condensates of higher angular momentum in hexagonal systems
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This thesis explores the application of semiclassical methods in the study of states with large quantum numbers for theories invariant under internal symmetries.
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In 1987, Affleck, Kennedy, Lieb, and Tasaki introduced the AKLT spin chain and proved that it has a spectral gap above the ground state. Their concurrent conjecture that the two-dimensional AKLT model on the hexagonal lattice is also gapped remains open. I ...
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