Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models

Mizoguchi, Tsuyoshi; Koma, Tohru; Yoshida, Yasuhito

doi:10.1103/physrevb.101.014442

Cited by 13 publications

(17 citation statements)

References 60 publications

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“…, L x , where L x is the number of unit cells, from left to right. For this configuration, the gauge-field Majorana fermions included in the top and bottom spins at open edges, b z l,1 and b z l,N , can not form the Z 2 gauge fields (54)(55)(56)(57). Thus, the perturbative calculations within the vortex-free sector described in the previous section are not applicable to these sites.…”

Section: Model Set-upmentioning

confidence: 98%

Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid

Takikawa,

Yamada,

Fujimoto

2021

Preprint

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α-RuCl 3 is a promising candidate material for the Kitaev spin liquid state where the half quantization of the thermal Hall effect, suggesting a topological character, has been observed. However, its relation to the existence of chiral Majorana fermions, which is predicted from the theory of the Kitaev model, is still under debate. Here we propose a more direct signature of a chiral Majorana edge mode which emerges in a universal scaling of the Drude weight of the edge spin Seebeck effect in the Kitaev model. Moreover, the absence of backscatterings in the chiral edge mode results in the generation of a dissipationless spin current in spite of an extremely short spin correlation length close to a lattice constant in the bulk. This result is not only experimentally observable, but also opens a way towards spintronics application of Kitaev materials.In contrast to magnetically ordered systems, a Kitaev spin liquid state is stable 1 even in the atomic scale and makes it possible to fabricate a highly integrated device with substantial efficiency to generate a spin current. This proposal for using α-RuCl 3 as a nano-scale device will pioneer Kitaev spintronics. TeaserDissipationless spin currents carried by exotic particles in quantum magnets pave the way to new spintronics application.

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Section: Model Set-upmentioning

confidence: 98%

Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid

Takikawa,

Yamada,

Fujimoto

2021

Preprint

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“…In this paper, we address this issue by using the transfer matrix method [6,9,[30][31][32][33][34][35][36][37][38][39][40][41][42]. In general, the transfer matrix method is applicable regardless of the phase of the bulk, and thus is suitable for studying the bulk-boundary correspondence.…”

Section: Introductionmentioning

confidence: 99%

“…Yet, the exact solution of the boundary modes is accessible in only a few models. In this regard, in the previous work [42], we have developed the method to obtain the exact edge solutions of arbitrary tight-binding models whose transfer matrix has a form of 4 × 4 matrix. By using this method, we study two concrete examples of the TSMs in two dimensions, namely, the Qi-Wu-Zhang (QWZ)-type model [43] and the Haldane-type model [44].…”

Section: Introductionmentioning

confidence: 99%

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Bulk-edge correspondence in two-dimensional topological semimetals: A transfer matrix study of antichiral edge modes

Mizoguchi,

Koma

2020

Preprint

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We study edge modes in topological semi-metals which have an energy band structure of ordinary semi-metals but can be characterized by a Chern number. More specifically, we focus on a Qi-Wu-Zhang-type square-lattice model and a Haldane-type honeycomb model, both of which exhibit anti-chiral edge modes whose wave packets propagate in the same direction at both parallel edges of the strip. In order to obtain these analytical solutions of the edge modes, we apply the transfer matrix method which was developed in the previous work [Phys. Rev. B 101, 014442 (2020)]. As a result, we show that the bulk-edge correspondence is broken down for a certain range of the model parameters. More precisely, when increasing the strength of a hopping amplitude of the models, the edge modes abruptly disappear, although the non-trivial Chern number does not change.

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“…Thermal transport experiments have been useful for identifying QSLs-especially topological QSLs, such as α − RuCl 3 in a magnetic field, where half-integer quantized thermal Hall conductance has been reported [28]. Theory and experiment of spin transport in QSLs or QSOLs is less well developed [29][30][31][32][33][34]. Chen et al [35] and Chatterjee et al [36] suggested that by sandwiching a QSL material between two paramagnetic metals and driving a spin current through the structure, one could characterize different types of QSLs as they have different power laws of spin current I s − V s relation.…”

mentioning

confidence: 99%

Spin Transport in Quantum Spin-Orbital Liquids

Zhuang,

Marston

2021

Preprint

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Quantum spin-orbital liquids (QSOLs) are a novel phase of matter, similar to quantum spin liquids, with quantum fluctuations in both spin and orbital degress of freedom. We use non-equilibrium Green's function theory to study out-of-equilibrium spin transport in an exactly solvable QSOL model put forward by Yao and Lee. We find that the spin transport problem can be mapped to that of a free fermion problem with effective fermionic baths that have rapidly varying density of states. In the gapless phase, the spin current Is − Vs relation is thus highly nonlinear, while in the chiral gapped phase, the spin current conductance is quantized to be 1/2π provided that the contacts are sufficiently wide. The quantized conductance is a signature of the topological nature of the chiral gapped QSOL.

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Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models

Cited by 13 publications

References 60 publications

Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid

Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid

Bulk-edge correspondence in two-dimensional topological semimetals: A transfer matrix study of antichiral edge modes

Spin Transport in Quantum Spin-Orbital Liquids

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