Quadrupolar spin liquid, octupolar Kondo coupling, and odd-frequency superconductivity in an exactly solvable model
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2020
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We propose an exactly solvable model for jeff = 32 local moments on the honeycomb lattice. Our construction
is guided by a symmetry analysis and by the requirement of an exact solution in terms of a Majorana fermion
representation for multipole operators. The main interaction in the model can be interpreted as a bond-dependent
quadrupole-quadrupole interaction. When time reversal symmetry is explicitly broken, we obtain a gapped spin
liquid with a single chiral Majorana edge mode. We also investigate another solvable model in which the
time-reversal-invariant spin liquid is coupled to conduction electrons in a superconductor. In the presence of
a Kondo-like coupling that involves the octupole moment of the localized spins, the itinerant electrons hybridize
with the emergent Majorana fermions in the spin liquid. This leads to spontaneous time reversal symmetry
breaking and generates odd-frequency pairing. Our results suggest that jeff = 32 systems with strong quadrupole quadrupole interactions may provide a route towards non-Abelian quantum spin liquids and unconventional
superconductivity.
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FARIAS, Carlene S. de; CARVALHO, Vanuildo S. de; MIRANDA, Eduardo; PEREIRA, Rodrigo G. Quadrupolar spin liquid, octupolar Kondo coupling, and odd-frequency superconductivity in an exactly solvable model. Physical Review B, College Park, v. 102, e075110, 2020. DOI: 10.1103/PhysRevB.102.075110. Disponível em: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.102.075110. Acesso em: 31 maio 2023.