Majorana-magnon crossover by a magnetic field in the Kitaev model: Continuous-time quantum Monte Carlo study

Yoshitake, Junki; Nasu, Joji; Kato, Yasuyuki; Motome, Yukitoshi

doi:10.1103/physrevb.101.100408

Cited by 24 publications

(17 citation statements)

References 59 publications

(67 reference statements)

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“…For the typical Kitaev materials Na 2 IrO 3 and α-RuCl 3 , the predominant Kitaev interactions have been widely accepted to be ferromagnetic (FM) [10,24,33,[38][39][40]. Thus, we choose K γ < 0 henceforth and set K z = −1 as the fixed energy scale.…”

Section: Model and Methodsmentioning

confidence: 99%

“…Recently, the magnetic field effects on the Kitaev materials have raised great interest [30][31][32][33]47]. For example, the thermal quantum Hall signature has been detected in the field-induced spin liquid phase of α-RuCl 3 [30].…”

Section: B Kitaev Fractional Liquid At Finite Fieldsmentioning

confidence: 99%

“…For example, the thermal quantum Hall signature has been detected in the field-induced spin liquid phase of α-RuCl 3 [30]. Given the fractional liquid scenario in the pure Kitaev model, it is also interesting to further study how it evolves under external fields [33]. In the following, we mainly focus on the field direction h [001]; the effects of external fields in other directions are discussed in Appendix D, where qualitatively the same results are seen.…”

Section: B Kitaev Fractional Liquid At Finite Fieldsmentioning

confidence: 99%

“…Nonetheless, the gap between experiments and theoretical understanding is still apparent. Since the non-Kitaev interactions and magnetic field [31,32] spoil the exact solution and restrict QMC simulations to a relatively high temperature [33], little is known about the fractionalization of spins in the extended Kitaev models.…”

Section: Introductionmentioning

confidence: 99%

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Universal thermodynamics in the Kitaev fractional liquid

Zhang

et al. 2020

Phys. Rev. Research

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In the Kitaev honeycomb model, the quantum spin fractionalizes into itinerant Majorana fermion and gauge flux upon cooling, leading to rich experimental ramifications at finite temperature and an upsurge of research interest. However, accurate modelings of the Kitaev materials by including realistic couplings beyond the pure Kitaev model constitute a major challenge for the community. With recently developed exponential tensor-network approach, we clear the pathway and perform finite-temperature simulations of the extended Kitaev model with additional interactions common in real materials. At intermediate temperature, we find an emergent Curie law of magnetic susceptibility and a stripy spin-structure factor characterizing the robust Kitaev fractional liquid. With this insight, we revisit the susceptibility measurements of Na 2 IrO 3 and α-RuCl 3 and find evidence of ferromagnetic Kitaev coupling and finite-temperature fractionalization. Bridging the gap between theories and experiments with the state-of-the-art tensor-network simulations, our findings provide guidance for future experimental exploration of the spin liquids in Kitaev materials by thermodynamic measurements and spin-resolved structure factor probes.

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Section: Model and Methodsmentioning

confidence: 99%

Section: B Kitaev Fractional Liquid At Finite Fieldsmentioning

confidence: 99%

Section: B Kitaev Fractional Liquid At Finite Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Universal thermodynamics in the Kitaev fractional liquid

Zhang

et al. 2020

Phys. Rev. Research

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“…In addition, in the candidate materials like α-RuCl 3 , the effect of non-Kitaev interactions, such as the Heisenberg and off-diagonal interactions, cannot be neglected. Despite some recent attempts [48,49], it is still a challenge to access the interesting parameter region at low temperature in applied magnetic fields. Further development is required to clarify these important issues.…”

Section: Discussionmentioning

confidence: 99%

Asymmetric modulation of Majorana excitation spectra and nonreciprocal thermal transport in the Kitaev spin liquid under a staggered magnetic field

Nakazawa,

Kato,

Motome

2022

Preprint

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We present the theoretical results for the Majorana band structure and thermal transport properties in the Kitaev honeycomb model under a staggered magnetic field in addition to a uniform one. The Majorana band structure is asymmetrically modulated in momentum space, and the valley degree of freedom is activated and controlled by the magnitudes and directions of the uniform and staggered magnetic fields; as a result, the Majorana excitation is either gapped or gapless, the latter of which in general has Majorana Fermi surfaces, in contrast to the point nodes in the absence of the fields. We show that the asymmetric deformation of the Majorana band induces a nonlinear (nonreciprocal) thermal transport, in addition to the linear one. The field dependence of the linear thermal current is correlated with the magnitude of the Majorana gap, while that of the nonlinear thermal current is associated with the asymmetry of the Majorana excitation spectra. We show the estimates of the thermal currents and discuss that the linear response is experimentally measurable, whereas future improvement is required for the observation of the nonlinear one. We also discuss how the thermal currents are modulated by other additional effects of the magnetic field and contributions from conventional magnons, latter of which are expected in heterostructures to realize an internal staggered magnetic field.

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