In the 3D Kitaev model on the hyperhoneycomb lattice, local spin correlations develop a persistent oscillation below the thermal transition, and the fitted amplitude of this oscillation tracks the Wilson loop order.
Spectroscopy of Majorana modes of non-Abelian vortices in Kitaev's chiral spin liquid
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abstract
We study the temperature (T) dependence of the dynamical structure factor of the chiral spin liquid phase of Kitaev's honeycomb model. We find, using a recently developed analytical approach, direct signatures of the Majorana modes associated with the non-Abelian Z_2 vortices (visons). In particular, a characteristic multiplet of discrete peaks at low but nonzero-T and its field dependence reflect the existence of thermally activated visons whose varying separation yields different splittings of the Majorana `zero' modes. The resonant processes involved are specific to the Majorana modes, and will persist even in the presence of weak non-integrable interactions.
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Dynamic orders of a Quantum Spin Liquid at Non-zero Temperatures
In the 3D Kitaev model on the hyperhoneycomb lattice, local spin correlations develop a persistent oscillation below the thermal transition, and the fitted amplitude of this oscillation tracks the Wilson loop order.