Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR line shape
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
Kitaev's compass model on the honeycomb lattice realizes a spin liquid whose emergent excitations are dispersive Majorana fermions and static Z2 gauge fluxes. We discuss the proper selection of physical states for finite-size simulations in the Majorana representation, based on a recent paper by F. L. Pedrocchi, S. Chesi, and D. Loss [Phys. Rev. B 84, 165414 (2011)PRBMDO1098-012110.1103/PhysRevB.84.165414]. Certain physical observables acquire large finite-size effects, in particular if the ground state is not fermion-free, which we prove to generally apply to the system in the gapless phase and with periodic boundary conditions. To illustrate our findings, we compute the static and dynamic spin susceptibilities for finite-size systems. Specifically, we consider random-bond disorder (which preserves the solubility of the model), calculate the distribution of local flux gaps, and extract the NMR line shape. We also predict a transition to a random-flux state with increasing disorder.
Details
Original language | English |
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Article number | 014403 |
Journal | Physical review. B |
Volume | 92 |
Issue number | 1 |
Publication status | Published - 6 Jul 2015 |
Peer-reviewed | Yes |
External IDs
Scopus | 84937934426 |
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Keywords
ASJC Scopus subject areas
Keywords
- Frustrated Magnetism