Chiral channel network from magnetization textures in two-dimensional 
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Xiao, Chengxin; Tang, Jianju; Zhao, Pei; Tong, Qingjun; Yao, Wang

doi:10.1103/physrevb.102.125409

Cited by 14 publications

(6 citation statements)

References 57 publications

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“…For large mass amplitude (and assuming the same absolute value for positive and negative mass regions), the residual overlap between counterpropagating neighboring chiral modes generates a small velocity v x v F along the x-direction. In effect, one then arrives at a highly anisotropic Dirac cone dispersion at low energies [35,36]. We here show that the case of a piece-wise constant periodic mass term is exactly solvable.…”

Section: Introductionmentioning

confidence: 76%

“…III C, superpositions of chiral zero modes generate the n = 0 band dispersion (3.25), where the finite hybridization between the counterpropagating zero modes at neighboring mass kinks and anti-kinks is responsible for the finite but exponentially small velocity (3.26). While the anisotropic Dirac cone dispersion associated with zero modes in periodic mass profiles has been discussed before [36], the piece-wise constant mass term (3.1) admits an exact solution. We note that anisotropic Dirac cones can alternatively be engineered by means of scalar superlattice potentials [1,2,4,7,8] or by using periodic magnetic fields [13][14][15].…”

Section: B Band Structure and Bloch Statesmentioning

confidence: 95%

“…III. For the TI case, such a mass term can (approximately) be generated by the deposition of ferromagnetic insulator stripes with alternating magnetization on a TI surface, where the magnetic exchange contributions produce a periodic mass term [36].…”

Section: Modelmentioning

confidence: 99%

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Two-dimensional Dirac fermions in a mass superlattice

et al. 2023

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We study two-dimensional (2D) Dirac fermions in the presence of a periodic mass term alternating between positive and negative values along one direction. This scenario could be realized for a graphene monolayer or for the surface states of topological insulators. The low-energy physics is governed by chiral Jackiw-Rebbi modes propagating along zero-mass lines, with the energy dispersion of the Bloch states given by an anisotropic Dirac cone. By means of the transfer matrix approach, we obtain exact results for a piece-wise constant mass superlattice. On top of Bloch states, two different classes of boundary and/or interface modes can exist in a finite-size geometry or in a nonuniform electrostatic potential, respectively. We compute the dispersion relation for both types of boundary and interface modes, which originate either from states close to the superlattice Brillouin zone (BZ) center or, via a Lifshitz transition, from states near the BZ boundary. In the presence of a potential step, we predict that the interface modes, the Bloch wave functions, and the electrical conductance will sensitively depend on the step position relative to the mass superlattice.

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Section: Introductionmentioning

confidence: 76%

Section: B Band Structure and Bloch Statesmentioning

confidence: 95%

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Two-dimensional Dirac fermions in a mass superlattice

et al. 2023

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“…However, future efforts may also take advantage of tunable magnetic textures as a method to implement a highly-localized flux control. Such textures could be implemented with an array of magnetic elements or magnetic multilayers [22,23,29,32,[69][70][71][72][73][74][75] as well as by using magnetic skyrmions [76][77][78][79][80]. The presence of magnetic textures also extends the control of the spin-orbit coupling, beyond the usual classification into Rashba or Dresslhaus contribution [27], as such textures generate synthetic spin-orbit coupling [22,23,[81][82][83][84] and allow supporting MBS even in systems with inherently small spin-orbit coupling [64,71,85].…”

Section: Discussionmentioning

confidence: 99%

Fusion of Majorana Bound States with Mini-Gate Control in Two-Dimensional Systems

Zhou,

Dartiailh,

Sardashti

et al. 2021

Preprint

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A hallmark of topological superconductivity is the non-Abelian statistics of Majorana bound states (MBS), its chargeless zero-energy emergent quasiparticles. The resulting fractionalization of a single electron, stored nonlocally as a two spatially separated MBS, provides a powerful platform for implementing fault-tolerant topological quantum computing. However, despite intensive efforts, experimental support for MBS remains indirect and does not probe their non-Abelian statistics. Here we propose how to overcome this obstacle in minigate controlled planar Josephson junctions (JJ) and demonstrate non-Abelian statistics through MBS fusion, detected by charge sensing using a quantum point contact. The feasibility of preparing, manipulating, and fusing MBS in two-dimensional (2D) systems is supported in our experiments which demonstrate the control of superconducting properties with five mini gates in InAs/Al-based JJs. While we focus on this well-established platform, where the topological superconductivity was already experimentally detected, our proposal to identify elusive non-Abelian statistics motivates also further MBS studies in other gate-controlled 2D systems.

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“…Moreover, when the temperature is below the Néel ordering temperature, the antiferromagnetic domain walls have been experimentally observed in layered MnBi 2 Te 4 [32], which provides an ideal natural platform to investigate the effect of layer degree of freedom on ZLMs. Despite there are some studies on the magnetic domain walls recently [39][40][41][42][43][44], the exploration of the effect of layers on ZLMs in interlayer antiferromagnetic topological insulators remains scarce.…”

Section: Introductionmentioning

confidence: 99%

Layer-dependent zero-line modes in antiferromagnetic topological insulators

Liang

Hou²,

Zeng³

et al. 2023

Phys. Rev. B

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Recently, the magnetic domain walls have been experimentally observed in antiferromagnetic topological insulators MnBi 2 Te 4 . Here we study the intrinsic topological zero-line modes (ZLMs) that appear along the domain walls, and find that these ZLMs are layer dependent in MnBi 2 Te 4 multilayers. We reveal the role of the spatial layer degree of freedom and magnetic domain wall configurations in determining the electronic transport properties and the distribution of the ZLMs in antiferromagnetic topological insulator systems. For antiferromagnetic domain wall with out-of-plane magnetization within each domain, we find that ZLMs are only distributed in the odd-number layers equally. For the Néel domain wall, the ZLMs are no longer distributed in the odd-number layers equally due to the mirror symmetry (M z ) breaking, and can exist in the even-number layers in multilayer systems. Moreover, the ZLMs are mainly distributed in the outermost layers with increasing layer thickness. Our findings lay out a strategy in manipulating ZLMs and can be utilized to distinguish the corresponding magnetic structures.

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Chiral channel network from magnetization textures in two-dimensional MnBi2Te4

Cited by 14 publications

References 57 publications

Two-dimensional Dirac fermions in a mass superlattice

Two-dimensional Dirac fermions in a mass superlattice

Fusion of Majorana Bound States with Mini-Gate Control in Two-Dimensional Systems

Layer-dependent zero-line modes in antiferromagnetic topological insulators

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