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in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape

Fabian Zschocke, Matthias Vojta C

Published Jan 1, 2015• 0 citations
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Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR line shape

Fabian Zschocke, Matthias Vojta C

Kitaev's compass model on the honeycomb lattice realizes a spin liquid whose emergent excitations are dispersive Majorana fermions and static ${\mathrm{Z}}_{2}$ 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)]. 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.

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Disorder Induced Quantum Griffiths Phase in the Proximate Kitaev Quantum Spin Liquid Na2Co2TeO6

Wassilios Papawassiliou, Nicolas Lazardis, Eunice Mumba Mpanga +8 more

Abstract Disorder is generally expected to destabilize a Kitaev quantum spin liquid, yet it can also generate new quantum phases. Na2Co2TeO6, which contains substantial intrinsic Na-site disorder, provides a promising platform to examine how randomness reshapes spin dynamics. Here, by employing 23Na NMR, we reveal a disorder induced softening of the spin excitations. Between 10 K and 100 K, the temperature dependence of the NMR relaxation times is consistent with the presence of gapped fractional spin excitations. Below 10 K, however, they bifurcate into two distinct channels: a slow-relaxing channel, preserving the gapped excitations character, and a fast-relaxing channel that follows a Korringa-like law, indicating the emergence of nearly gapless spin excitations. This two-channels regime is accompanied by ultraslow, microsecond scale spin fluctuations following an Arrhenius activation law. Besides, ab initio NMR lineshape calculations show that a quantum spin liquid-like model reproduces the low-temperature NMR spectra sufficiently better than magnetically ordered models. Together, our findings indicate transition upon cooling to a disorder-driven quantum spin liquid Griffiths phase, comprising slowly fluctuating gapped regions within a matrix of nearly gapless low-energy spin excitations.

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Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model

Guoyi Zhu, Markus Heyl

Bulletin of the American Physical Society•Mar 18, 2021•0 citations
Kitaev's compass model on the honeycomb lattice realizes a spin liquid whose emergent excitations are dispersive Majorana fermions and static Z2{\mathrm{Z}}_{2}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)]. 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.
Abstract Disorder is generally expected to destabilize a Kitaev quantum spin liquid, yet it can also generate new quantum phases. Na2Co2TeO6, which contains substantial intrinsic Na-site disorder, provides a promising platform to examine how randomness reshapes spin dynamics. Here, by employing 23Na NMR, we reveal a disorder induced softening of the spin excitations. Between 10 K and 100 K, the temperature dependence of the NMR relaxation times is consistent with the presence of gapped fractional spin excitations. Below 10 K, however, they bifurcate into two distinct channels: a slow-relaxing channel, preserving the gapped excitations character, and a fast-relaxing channel that follows a Korringa-like law, indicating the emergence of nearly gapless spin excitations. This two-channels regime is accompanied by ultraslow, microsecond scale spin fluctuations following an Arrhenius activation law. Besides, ab initio NMR lineshape calculations show that a quantum spin liquid-like model reproduces the low-temperature NMR spectra sufficiently better than magnetically ordered models. Together, our findings indicate transition upon cooling to a disorder-driven quantum spin liquid Griffiths phase, comprising slowly fluctuating gapped regions within a matrix of nearly gapless low-energy spin excitations.