Majorana-Mediated Spin Transport in Kitaev Quantum Spin Liquids

Minakawa, Tetsuya; Murakami, Yuta; Koga, Akihisa; Nasu, Joji

doi:10.1103/physrevlett.125.047204

Cited by 42 publications

(40 citation statements)

References 105 publications

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“…Taking average over more than hundred independent TPQ states, we calculate the time-evolution of local physical quantities. It is known that the spin transport through the Kitaev QSL region is mediated by the Majorana fermions [13,15]. To avoid discussions for the reflection around the right edge, we define the arrival time of oscillations triggered by the magnetic pulse at x as t * = x/v, where x is the coordinate of the ith site or the midpoint of the bond [see Fig.…”

Section: Resultsmentioning

confidence: 99%

“…We note that in the regions under the finite magnetic field, the local operator W p is no longer a conserved quantity. For example, the local operator on the pla-quette composed of the sites (5,12,13,14,7,6) shown in Fig. 1(a) does not commute with −h R S z 7 .…”

Section: Model and Methodsmentioning

confidence: 99%

“…where β = 1/T , T is the temperature, Z 0 (= Tr e −βH0 ) is the partition function and Ô(t) = U † (t) ÔU (t) with the time-evolution operator U (t). At zero temperature (T = 0), the localized Z 2 fluxes freeze into the fluxfree state, and the Majorana mean-field approach should work to evaluate the expectation values [13,15,[33][34][35].…”

Section: Model and Methodsmentioning

confidence: 99%

“…In both cases, the spin current flows in materials with magnetic orders. On the other hand, it has been revealed that the spin transport is also realized in quantum spin liquids (QSLs) [13][14][15], where no magnetic order is realized due to strong quantum fluctuations [16][17][18][19][20][21][22]. One of the typical examples is provided by an antiferromagnetic S = 1/2 Heisenberg chain.…”

Section: Introductionmentioning

confidence: 99%

“…The itinerant Majorana fermions have been observed as a half quantized plateau in the thermal quantum Hall experiments [25,26] in a candidate α-RuCl 3 [27]. Furthermore, it has been reported that the itinerant Majorana fermions play a crucial role for the spin transport without spin oscillations [13][14][15]. It is known that Majorana and flux excitations have distinct energy scales, which leads to interesting thermodynamic properties such as the double peaks in the specific heat and the plateau in the entropy [28,29].…”

Section: Introductionmentioning

confidence: 99%

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Thermally enhanced Majorana-mediated spin transport in the Kitaev model

Taguchi,

Murakami,

Koga

2022

Preprint

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We study how stable the Majorana-mediated spin transport in a quantum spin Kitaev model is against thermal fluctuations. Using the time-dependent thermal pure quantum state method, we examine finite-temperature spin dynamics in the Kitaev model. The model exhibits two characteristic temperatures TL and TH , which correspond to energy scales of the local flux and the itinerant Majorana fermion, respectively. At low temperatures (T TL), an almost flux-free state is realized and the spin excitation propagates in a similar way to that for the ground state. Namely, after the magnetic pulse is introduced at one of the edges, the itinerant Majorana fermions propagate the spin excitations even through the quantum spin liquid state region, and oscillations in the spin moment appear in the other edge with a tiny magnetic field. When T ∼ TL, larger oscillations in the spin moments are induced in the other edge, compared to the results at the ground state. At higher temperatures, excited Z2 fluxes disturb the coherent motion of the itinerant Majorana fermions, which suppresses the spin propagation. Our results demonstrate a crucial role of thermal fluctuations in the Majorana-mediated spin transport.

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Section: Resultsmentioning

confidence: 99%

Section: Model and Methodsmentioning

confidence: 99%

Section: Model and Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermally enhanced Majorana-mediated spin transport in the Kitaev model

Taguchi,

Murakami,

Koga

2022

Preprint

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Stabilization of a honeycomb lattice of IrO6 octahedra by formation of ilmenite-type superlattices in MnTiO3

Miura¹,

Fujiwara

Nakayama

et al. 2020

Commun Mater

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In quantum spin liquid research, thin films are an attractive arena that enables the control of magnetic interactions via epitaxial strain and two-dimensionality, which are absent in bulk crystals. Here, as a promising candidate for the development of quantum spin liquids in thin films, we propose a robust ilmenite-type oxide with a honeycomb lattice of edge-sharing IrO 6 octahedra artificially stabilised by superlattice formation using the ilmenite-type antiferromagnetic oxide MnTiO 3. Stabilised sub-unit-cell-thick Mn-Ir-O layers are isostructural to MnTiO 3 and have an atomic arrangement corresponding to ilmenite-type MnIrO 3. By performing spin Hall magnetoresistance measurements, we observe that antiferromagnetic ordering in the ilmenite Mn sublattice is suppressed by modified magnetic interactions in the MnO 6 planes via the IrO 6 planes. These findings contribute to the development of twodimensional Kitaev candidate materials, accelerating the discovery of exotic physics and applications specific to quantum spin liquids.

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Majorana excitations in the anisotropic Kitaev model with an ordered-flux structure

Hashimoto

Murakami

Koga

2022

J. Phys.: Conf. Ser.

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We investigate the anisotropic S = 1/2 Kitaev model on the honeycomb lattice with the ordered-flux structure. By diagonalizing the Majorana Hamiltonian for the flux configuration, we find two distinct gapped quantum spin liquids. One of them is the gapped state realized in the large anisotropic case, where low energy properties are described by the toric code. On the other hand, when the system has small anisotropy, the other gapped quantum spin liquid is stabilized by the ordered-flux configuration. Since these two gapped quantum spin liquids are separated by the gapless region, these are not adiabatically connected to each other.

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Majorana-Mediated Spin Transport in Kitaev Quantum Spin Liquids

Cited by 42 publications

References 105 publications

Thermally enhanced Majorana-mediated spin transport in the Kitaev model

Thermally enhanced Majorana-mediated spin transport in the Kitaev model

Stabilization of a honeycomb lattice of IrO6 octahedra by formation of ilmenite-type superlattices in MnTiO3

Majorana excitations in the anisotropic Kitaev model with an ordered-flux structure

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