Stone-Wales defects in the gapless Kitaev spin liquid generate net chirality that opens a topological gap of 11 n_d and drives a finite-temperature transition to a chiral spin liquid via long-range Ising interactions.
Chiral spin liquid instability of the Kitaev honeycomb model with crystallographic defects
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abstract
We study the spin-1/2 Kitaev honeycomb gapless spin liquid in the presence of Stone-Wales-type local lattice defects with odd-sided plaquettes. While the clean Kitaev model has no finite-temperature phase transitions, we find that introducing a finite defect density $n_d\approx 10^{-4}$--$10^{-2}$ produces a true phase transition with a sizeable $T_c \approx 2 n_d$ in units of the Kitaev exchange. The resulting non-Abelian chiral quantum spin liquid exhibits scalar spin chirality and electron orbital magnetization which peak near lattice defects. This disorder-driven instability relies on an emergent long range ferromagnetic interaction $r^{-\gamma}$ ($\gamma \approx 2.7$) between defect chiralities, mediated by the nearly-gapless fermions, with implications for topology generation in Dirac cones with fluctuating mass terms.
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Impurity quadrupole moments exhibit discontinuous jumps at flux sector transitions in the Kitaev spin liquid, serving as a local probe of flux configurations.
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Generation of chirality and orbital magnetization by Stone-Wales-type lattice defects in the Kitaev spin liquid
Stone-Wales defects in the gapless Kitaev spin liquid generate net chirality that opens a topological gap of 11 n_d and drives a finite-temperature transition to a chiral spin liquid via long-range Ising interactions.
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Impurity quadrupole moments as local probes of flux sectors in the Kitaev spin liquid
Impurity quadrupole moments exhibit discontinuous jumps at flux sector transitions in the Kitaev spin liquid, serving as a local probe of flux configurations.