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In this work we discuss the formation of zero energy vortex and chiral edge modes in a fermionic representation of the Kitaev honeycomb model. We introduce the representation and show how the associated Jordan-Wigner procedure naturally…

Mesoscale and Nanoscale Physics · Physics 2011-05-26 G. Kells , J. Vala

Frustrated magnetic systems exhibit many fascinating phases. Prime among them are quantum spin liquids, where the magnetic moments do not order even at zero temperature. A subclass of quantum spin liquids called Kitaev spin liquids are…

Strongly Correlated Electrons · Physics 2017-10-10 Masahiko G. Yamada , Vatsal Dwivedi , Maria Hermanns

We present a spin model, namely, the Kitaev model augmented by a loop term and perturbed by an Ising Hamiltonian and show that it exhibits both confinement-deconfinement transitions from spin liquid to…

Strongly Correlated Electrons · Physics 2009-03-24 S. Mandal , S. Bhattacharjee , K. Sengupta , R. Shankar

We have introduced a novel Majorana representation of S=1/2 spins using the Jordan-Wigner transformation and have shown that a generalized spin model of Kitaev defined on a brick-wall lattice is equivalent to a model of non-interacting…

Strongly Correlated Electrons · Physics 2009-11-11 Xiao-Yong Feng , Guang-Ming Zhang , Tao Xiang

We study the dynamical response of vacancy-induced quasiparticle excitations in the site-diluted Kitaev spin liquid with a magnetic field. Due to the flux-binding effect and the emergence of dangling Majorana fermions around each spin…

Strongly Correlated Electrons · Physics 2023-10-12 Wen-Han Kao , Gábor B. Halász , Natalia B. Perkins

The pure Kitaev honeycomb model harbors a quantum spin liquid in zero magnetic fields, while applying finite magnetic fields induces a topological spin liquid with non-Abelian anyonic excitations. This latter phase has been much sought…

Strongly Correlated Electrons · Physics 2020-03-31 Dirk Wulferding , Youngsu Choi , Seung-Hwan Do , Chan Hyeon Lee , Peter Lemmens , Clement Faugeras , Yann Gallais , Kwang-Yong Choi

Recent proposals for spin-1 Kitaev materials, such as honeycomb Ni oxides with heavy elements of Bi and Sb, have shown that these compounds naturally give rise to antiferromagnetic (AFM) Kitaev couplings. Conceptual interest in such AFM…

Strongly Correlated Electrons · Physics 2020-06-22 Ciarán Hickey , Christoph Berke , Panagiotis Peter Stavropoulos , Hae-Young Kee , Simon Trebst

Majorana zero modes (MZMs) realize a representation of non-abelian braid groups that enable topological quantum computation, wherein the storage and manipulation of information occur in decoherence-free degrees of freedom. This paper is…

Strongly Correlated Electrons · Physics 2021-11-17 Sihao Huang

Inspired by the recent discovery of a new instability towards a chiral phase of the classical Heisenberg model on the kagome lattice, we propose a specific chiral spin liquid that reconciles different, well-established results concerning…

Strongly Correlated Electrons · Physics 2012-06-06 Laura Messio , Bernard Bernu , Claire Lhuillier

Zero--energy Majorana quasiparticles can be induced at the edge of a low dimensional systems. Non--Abelian statistics of this state makes it a good candidate for the realization of quantum computing. From the practical point of view, it is…

Mesoscale and Nanoscale Physics · Physics 2019-02-04 Aksel Kobiałka , Andrzej Ptok

One of the most important issues in modern condensed matter physics is the realization of fractionalized excitations, such as the Majorana excitations in the Kitaev quantum spin liquid. To this aim, the 3d-based Kitaev material Na2Co2TeO6…

Majorana fermions are spin-1/2 neutral particles that are their own antiparticles and were initially predicted by Ettore Majorana in particle physics but their observation still remains elusive. The concept of Majorana fermions has been…

Superconductivity · Physics 2024-05-07 Yukio Tanaka , Shun Tamura , Jorge Cayao

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

The Kitaev model is an exactly solvable quantum spin model within the language of the constrained real fermions. In spite of numerous studies along special magnetic-field orientations, there is a limited amount of knowledge on the complete…

Strongly Correlated Electrons · Physics 2022-02-15 F. Yılmaz , A. P. Kampf , S. K. Yip

The Kitaev quantum spin liquid displays the fractionalization of quantum spins into Majorana fermions. The emergent Majorana edge current is predicted to manifest itself in the form of a finite thermal Hall effect, a feature commonly…

Strongly Correlated Electrons · Physics 2018-05-30 Y. Kasahara , K. Sugii , T. Ohnishi , M. Shimozawa , M. Yamashita , N. Kurita , H. Tanaka , J. Nasu , Y. Motome , T. Shibauchi , Y. Matsuda

In this paper, we establish that Majorana zero modes emerging from a topological band structure of a chain of magnetic atoms embedded in a superconductor can be distinguished from trivial localized zero energy states that may accidentally…

Mesoscale and Nanoscale Physics · Physics 2018-03-19 Jian Li , Sangjun Jeon , Yonglong Xie , Ali Yazdani , B. Andrei Bernevig

We study the interplay of competing interactions in spin-$1/2$ triangular Heisenberg model through tuning the first- ($J_1$), second- ($J_2$), and third-neighbor ($J_3$) couplings. Based on large-scale density matrix renormalization group…

Strongly Correlated Electrons · Physics 2019-12-25 Shou-Shu Gong , Wayne Zheng , Mac Lee , Yuan-Ming Lu , D. N. Sheng

We discuss the emergence of zero-energy Majorana modes in a disordered finite-length p-wave one-dimensional superconducting ring, pierced by a magnetic flux $\Phi$ tuned at an appropriate value $\Phi=\Phi_*$. In the absence of fermion…

Strongly Correlated Electrons · Physics 2017-05-01 Andrea Nava , Rosa Giuliano , Gabriele Campagnano , Domenico Giuliano

We study quasiparticle spectrum of the correlated quantum dot deposited on superconducting substrate which is side-coupled to the Rashba nanochain, hosting Majorana end modes. Ground state of an isolated quantum dot proximitized to…

Mesoscale and Nanoscale Physics · Physics 2020-12-08 Tomasz Zienkiewicz , Jan Barański , Grzegorz Górski , Tadeusz Domański

Topological superfluids are recently discovered quantum matters that host topologically protected gapless edge states known as Majorana fermions - exotic quantum particles that act as their own anti-particles and obey non-Abelian…

Quantum Gases · Physics 2015-01-23 Hui Hu , Lin Dong , Ye Cao , Han Pu , Xia-Ji Liu