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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

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 theoretically investigate a topological Kitaev chain connected to a double quantum-dot (QD) setup hybridized with metallic leads. In this system we observe the emergence of two striking phenomena: (i) a decrypted Majorana fermion (MF)…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 L. H. Guessi , F. A. Dessotti , Y. Marques , L. S. Ricco , G. M. Pereira , P. Menegasso , M. de Souza , A. C. Seridonio

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

Majorana fermions act as their own antiparticle, and they have long been thought to be confined to the realm of pure theory. However, interest in them has recently resurfaced, as it was realized through the work of Kitaev that some…

Mesoscale and Nanoscale Physics · Physics 2021-08-16 T. C. Bartolo , J. S. Smith , B. Muralidharan , C. Müller , T. M. Stace , J. H. Cole

We theoretically investigate and experimentally demonstrate the existence of topological edge states in a mechanical analog of the Kitaev chain with a non-zero chemical potential. Our system is a one-dimensional monomer system involving two…

Each end of a Kitaev chain in topological phase hosts a Majorana fermion. Zero bias conductance peak is an evidence of Majorana fermion when the two Majorana fermions are decoupled. These two Majorana fermions are separated in space and…

Mesoscale and Nanoscale Physics · Physics 2019-09-17 Abhiram Soori

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

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 propose to realize Majorana edge and corner states in electric circuits. First, we simulate the Kitaev model by an LC electric circuit and the $p_{x}+ip_{y}$ model by an LC circuit together with operational amplifiers. Zero-energy edge…

Superconductivity · Physics 2019-07-17 Motohiko Ezawa

We introduce a one-dimensional non-Hermitian Kitaev chain with staggered imbalance in the $p$-wave superconducting pairing. By tuning the chemical potential and the pairing imbalance, we find that the eigenenergy spectrum undergoes…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

We study quantum phase transitions in the honeycomb Kitaev model under a magnetic field, focusing on the topological nature of Majorana fermion excitations. We find a gapless phase between the low-field gapless quantum spin liquid and the…

Strongly Correlated Electrons · Physics 2018-09-12 Joji Nasu , Yasuyuki Kato , Yoshitomo Kamiya , Yukitoshi Motome

Majorana Bound States are predicted to appear as boundary states of the Kitaev model. Here we show that a pi-Josephson Junction, inserted in a topologically non trivial model ring, sustains a Majorana Bound State, which is robust with…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 P. Lucignano , F. Tafuri , A. Tagliacozzo

We propose a mechanism to explain the emergence of an intermediate gapless spin liquid phase in the antiferromagnetic Kitaev model in an externally applied magnetic field, sandwiched between the well-known gapped chiral spin liquid and the…

Strongly Correlated Electrons · Physics 2025-03-14 Penghao Zhu , Shi Feng , Kang Wang , Tao Xiang , Nandini Trivedi

We propose a scenario of realizing the toric code phase, which can be potentially utilized for fault-tolerant quantum computation, in candidate materials of Kitaev magnets. It is demonstrated that four-body interactions among Majorana…

Strongly Correlated Electrons · Physics 2021-06-16 Masahiro O. Takahashi , Masahiko G. Yamada , Daichi Takikawa , Takeshi Mizushima , Satoshi Fujimoto

We study a system of interacting spinless fermions in one dimension which, in the absence of interactions, reduces to the Kitaev chain [A. Yu Kitaev, Phys.-Usp. \textbf{44}, 131 (2001)]. In the non-interacting case, a signal of topological…

Strongly Correlated Electrons · Physics 2015-09-22 Hosho Katsura , Dirk Schuricht , Masahiro Takahashi

We study the energy levels and transport properties of an extended Kitaev chain with a phase gradient. It is demonstrated that the hopping phase difference can effectively induce the generation of Majorana bound states, which are located at…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Xuan Zhang , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

We investigate electron transport inside a ring system composed of a quantum dot (QD) coupled to two Majorana bound states confined at the ends of a one-dimensional topological superconductor nanowire. By tuning the magnetic flux threading…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Qi-Bo Zeng , Shu Chen , L. You , Rong Lv

Few-site implementations of the Kitaev chain offer a minimal platform to study the emergence and stability of Majorana bound states. Here, we realize two- and three-site chains in semiconducting quantum dots coupled via superconductors, and…

We introduce a tunable synthetic-dimension platform for realizing Kitaev-chain physics with high degree of control over Majorana zero modes. It is based on a generic Landau-quantized two dimensional electron system coupled to the magnetic…

Mesoscale and Nanoscale Physics · Physics 2026-05-07 Adel Ali , Alexey Belyanin
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