Zero-energy Majorana edge modes in the three-dimensional Kitaev model

Randeep, N. C.; Surendran, Naveen

doi:10.1103/physrevb.100.045134

Cited by 4 publications

(4 citation statements)

References 57 publications

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“…The left spins in squeezed space are relabeled by α = 1 ∼ 8, where α = α and α = α + 1 for α < 5 and α > 5, respectively. In the squeezed space, the kinks and antikink are located between sites (2, 3), (7,8) and (5,6). The falling and rising edges of the purple solid line in Fig.…”

Section: S-iii the Squeezed Spacementioning

confidence: 95%

“…Introduction.-Quantum spin systems possess various topological excitations, such as the magnetic kink [1,2], the spinon [3,4], the skyrmion [5], the Majorana mode [6], as well as the magnetic monopole [7][8][9][10]. These quasiparticles possess rich magnetic properties and endow the spin systems with potential applications, such as functional spintronic devices [11][12][13].…”

mentioning

confidence: 99%

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Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas

Gao,

Li,

Chen

et al. 2021

Preprint

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Section: S-iii the Squeezed Spacementioning

confidence: 95%

mentioning

confidence: 99%

Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas

Gao,

Li,

Chen

et al. 2021

Preprint

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“…Conventional techniques of creating Majorana edge modes are via unpaired spin polarized fermions in quantum 7 Author to whom any correspondence should be addressed. nanowires [28][29][30][31][32] or superconductors in proximity with topological insulators or semiconductors [33,34]. However, topological nontrivial regions with Majorana edge modes gained above are quite limited in parameter space.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, methods on how to generate Majorana edge modes are gaining increasing attention [22][23][24][25][26][27]. Conventional techniques of creating Majorana edge modes are via unpaired spin polarized fermions in quantum nanowires [28][29][30][31][32] or superconductors in proximity with topological insulators or semiconductors [33,34]. However, topological nontrivial regions with Majorana edge modes gained above are quite limited in parameter space.…”

mentioning

confidence: 99%

Robust Majorana edge modes with low frequency multiple time periodic driving

Wang¹,

Zhuang²,

Xianlong³

et al. 2020

J. Phys.: Condens. Matter

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Floquet Majorana edge modes capture the topological features of periodically driven superconductors. We present a Kitaev chain with multiple time periodic driving and demonstrate how the avoidance of band crossing is altered, which gives rise to new regions supporting Majorana edge modes. A one dimensional generalized method was proposed to predict Majorana edge modes via the Zak phase of the Floquet bands. We also study the time independent effective Hamiltonian at high frequency limit and introduce diverse index to characterize topological phases with different relative phase between the multiple driving. Our work enriches the physics of driven system and paves the way for locating Majorana edge modes in larger parameter space.Topolgical state of matter is an intriguing topic, and has been studied intensively for years. Topological superconductivity is one of the most attractive theme in this subject for its topological excitation, Majorana fermion [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15], which is its own antiparticle. The non-abelian statistics [16][17][18][19] of Majorana edge modes empower it as a novel prospect for quantum computation [20,21]. Thus, methods on how to generate Majorana edge modes are gaining increasing attention [22][23][24][25][26][27]. Conventional techniques of creating Majorana edge modes are via unpaired spin polarized fermions in quantum nanowires [28][29][30][31][32] or superconductors in proximity with topological insulators or semiconductors [33,34]. However, topological nontrivial regions with Majorana edge modes gained above are quite limited in parameter space.In recent years, Floquet engineering emerges as a new protocol for designing topological states of matter [35][36][37], which correspondingly brings the concept Floquet Majorana edge modes. The main idea of Floquet engineering lies in driving the physical parameter periodically with time. In contrast to the adiabatic limit, where the system remains in the eigenstate at each instantaneous time, driven system may absorb quantized energy from external fields, featuring non-equilibrium properties. Hence, the Floquet version of system may exhibit fruitful topological properties [38][39][40][41][42][43][44][45][46][47][48][49]. For a driven Kitaev chain, results have shown that Majorana edge modes can be sustained within a larger parameter space [50][51][52][53]. Besides, multiple Majorana edge modes are discovered with low driving frequency [54]. However, all results above are obtained within a frame of single time periodic driving. A natural question appears to us, how will the multiple time periodic driving affect the Majorana edge modes?In this Letter, we demonstrate that due to the avoidance of bands crossing, multiple time periodic driving are capable of generating gaps at different regions, leading to extraordinary different topological phase transitions, and larger parameter spaces with Majorana edge modes. To identify the Majorana edge modes, we propose a one dimensional method based on the Zak phase of Floqu...

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Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas

Gao

Chen

et al. 2022

Phys. Rev. A

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Zero-energy Majorana edge modes in the three-dimensional Kitaev model

Cited by 4 publications

References 57 publications

Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas

Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas

Robust Majorana edge modes with low frequency multiple time periodic driving

Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas

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