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Related papers: Majorana edge magnetization in the Kitaev honeycom…

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We study the Majorana modes, both equilibrium and Floquet, which can appear at the edges of the Kitaev model on the honeycomb lattice. We first present the analytical solutions known for the equilibrium Majorana edge modes for both zigzag…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Manisha Thakurathi , K. Sengupta , Diptiman Sen

We study the effects of static magnetic and electric fields on Kitaev's honeycomb model. Using the electric polarization operator appropriate for Kitaev materials, we derive the effective Hamiltonian for the emergent Majorana fermions to…

Strongly Correlated Electrons · Physics 2021-05-05 Rajas Chari , Roderich Moessner , Jeffrey G. Rau

We study the possibility to realize Majorana zero mode that's robust and may be easily manipulated for braiding in quantum computing in the ground state of the Kitaev model in this work. To achieve this we first apply a uniform [111]…

Strongly Correlated Electrons · Physics 2021-12-13 Lu Yang , Jia-Xing Zhang , Shuang Liang , Wei Chen , Qiang-Hua Wang

Majorana modes and fractional fermions are two types of edge zero modes appearing separately in topological superconductors and dimerized chains. Here we reveal how to harvest both types of edge modes simultaneously in an exotic chain. Such…

Strongly Correlated Electrons · Physics 2016-02-04 Dan-bo Zhang , Qiang-Hua Wang , Z. D. Wang

We unveil an interesting example of topological flat bands of Majorana fermions in quantum spin liquids. We study the Kitaev model on a periodically depleted honeycomb lattice, under a magnetic field within the perturbation theory. The…

Strongly Correlated Electrons · Physics 2025-10-10 Kiyu Fukui , Yukitoshi Motome

We present a bosonization procedure which replaces fermions with generalized spin variables subject to local constraints. It requires that the number of Majorana modes per lattice site matches the coordination number modulo two. If this…

High Energy Physics - Lattice · Physics 2022-04-13 Arkadiusz Bochniak , Błażej Ruba , Jacek Wosiek

In two-dimensional topological nodal superconductors, Majorana edge states have been conventionally believed to exhibit only spin-triplet pairing correlations. However, we reveal a substantial spin-singlet pairing component in Majorana edge…

Superconductivity · Physics 2025-06-10 Junjie Zeng , James Jun He , Zhen Ning , Dong-Hui Xu , Rui Wang

Majorana fermions, exotic particles with potential applications in quantum computing, have garnered significant interest in condensed matter physics. The Kitaev model serves as a fundamental framework for investigating the emergence of…

Superconductivity · Physics 2024-07-02 Abhiram Soori

We study the gapped phase of Kitaev's honeycomb model (a $Z_2$ spin liquid) on a lattice with topological defects. We find that some dislocations and string defects carry unpaired Majorana fermions. Physical excitations associated with…

Strongly Correlated Electrons · Physics 2014-10-15 Olga Petrova , Paula Mellado , Oleg Tchernyshyov

The observation of Majorana fermions as collective excitations in condensed-matter systems is an ongoing quest, and several state-of-the-art experiments have been performed in the last decade. As a potential avenue in this direction, we…

Strongly Correlated Electrons · Physics 2022-07-27 Adhip Pattanayak , Sumiran Pujari , Gopal Dixit

We study Kitaev model in one-dimension with open boundary condition by using exact analytic methods for non-interacting system at zero chemical potential as well as in the symmetric case of {\Delta} = t, and by using…

Strongly Correlated Electrons · Physics 2018-03-15 Jian-Jian Miao , Hui-Ke Jin , Fu-Chun Zhang , Yi Zhou

We study the effects of the flux configurations on the emergent Majorana fermions in the $S=1/2$ Kitaev model on a honeycomb lattice, where quantum spins are fractionalized into itinerant Majorana fermions and localized fluxes. A quantum…

Strongly Correlated Electrons · Physics 2021-06-16 Akihisa Koga , Yuta Murakami , Joji Nasu

We study the gapped phase of Kitaev's honeycomb model (a Z_2 spin liquid) in the presence of lattice defects. We find that some dislocations and bond defects carry unpaired Majorana fermions. Physical excitations associated with these…

Strongly Correlated Electrons · Physics 2013-10-30 Olga Petrova , Paula Mellado , Oleg Tchernyshyov

The mutual competition and synergy of magnetism and superconductivity provide us with a very valuable opportunity to access topological superconductivity and Majorana Fermions. Here, we devise a heterostructure consisting of an $s$-wave…

Superconductivity · Physics 2023-11-13 Yu-Xuan Li , Cheng-Cheng Liu

Detecting Majorana fermions in experimental realizations of the Kitaev honeycomb model is often complicated by non-trivial interactions inherent to potential spin liquid candidates. In this work, we identify several distinct thermodynamic…

Strongly Correlated Electrons · Physics 2023-12-08 Joshuah T. Heath , Faranak Bahrami , Sangyun Lee , Roman Movshovich , Xiao Chen , Fazel Tafti , Kevin S. Bedell

Braiding and fusion of Majorana zero modes are key elements of any future topological Majorana-based quantum computer. Here, we investigate the fusion dynamics of Majorana zero modes in the spinless Kitaev model, as well as in a spinful…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Themba Hodge , Tuan Kieu , Jasmin Bedow , Eric Mascot , Dirk K. Morr , Stephan Rachel

Kitaev quantum spin liquids host Majorana fermions via the fractionalization of spins. In a magnetic field, the Majorana fermions were predicted to comprise a topological state, which has attracted great attention by the discovery of the…

Strongly Correlated Electrons · Physics 2020-04-01 Junki Yoshitake , Joji Nasu , Yasuyuki Kato , Yukitoshi Motome

We investigate Majorana modes in a quantum spin chain with bond-dependent exchange interactions by studying its dynamics. Specifically, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called…

Quantum Physics · Physics 2022-07-27 Johannes Bjerlin , Anders S. Sørensen , Stephan Haas

Recent studies in the realization of Majorana fermion (MF) quasiparticles have focused on engineering topological superconductivity by combining conventional superconductors and spin-textured electronic materials. We propose an effective…

Mesoscale and Nanoscale Physics · Physics 2018-09-17 Ruizhi Pan , Charles W. Clark

The properties of magnons hosted in strained Heisenberg-Kitaev magnets are investigated using numerical and analytical calculations. Considering that deformation fields modulate the coupling parameters, we find a general expression for the…

Mesoscale and Nanoscale Physics · Physics 2025-04-30 Miguel Letelier , Roberto E. Troncoso , Nicolas Vidal-Silva
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