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The fermionic and bosonic zero modes of the 1D interacting Kitaev chain at the symmetric point are unveiled. The many-body structures of the Majorana zero modes in the topological region are given explicitly by carrying out perturbation…

Strongly Correlated Electrons · Physics 2021-02-11 Yiming Wang , Zhidan Li , Qiang Han

We study an exactly solvable one-dimensional spin-$\frac{1}{2}$ model which can support weak zero modes in its ground state manifold. The spin chain has staggered XXZ-type and ZZ-type spin interaction on neighboring bonds and is thus dubbed…

Strongly Correlated Electrons · Physics 2022-11-09 Jianlong Fu

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

I explicitly construct a strong zero mode in the XYZ chain or, equivalently, Majorana wires coupled via a four-fermion interaction. The strong zero mode is an operator that pairs states in different symmetry sectors, resulting in identical…

Statistical Mechanics · Physics 2017-07-19 Paul Fendley

Motivated by the fact that the idealized Kitaev chain toy model and the experimental semiconductor-superconductor Majorana nanowire can both host the Majorana zero modes, we theoretically investigate the question to what extent the two…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Haining Pan , Sankar Das Sarma

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

Semiconductor-s-type superconductor nanowires host spinful fermions and cannot be reduced to a single spinless Kitaev chain hosting single Majorana zero mode. Instead, such systems can be converted into two coupled p-wave Kitaev-like chains…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mijanur Islam , Mahan Mohseni , Ibsal Assi , Daniel Miravet , Pawel Hawrylak

Topological stability is an important property for topological materials. However, the non-Hermitian effects may change this situation. Here, we investigate the robustness of edge states in the non-Hermitian Kitaev chain with imbalanced…

Superconductivity · Physics 2021-12-08 Xiao-Ming Zhao , Cui-Xian Guo , Su-Peng Kou , Lin-Zhuang , Wu-Ming Liu

The Kitaev chain has been extensively explored in the context of uniform couplings, with studies focusing either on purely nearest-neighbor interactions or on systems dominated by long-range superconducting pairing. Building on these…

Quantum Physics · Physics 2025-12-25 Rajiv Kumar , Rohit Kumar Shukla , Levan Chotorlishvili , Sunil Kumar Mishra

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

The realization of Majorana zero modes is in the centre of intense theoretical and experimental investigations. Unfortunately, their exchange that can reveal their exotic statistics needs manipulations that are still beyond our experimental…

Quantum Physics · Physics 2016-10-26 Jin-Shi Xu , Kai Sun , Yong-Jian Han , Chuan-Feng Li , Jiannis K. Pachos , Guang-Can Guo

Majorana bound states, with their non-Abelian properties, are candidates for the realization of fault-tolerant quantum computation. Here we study the influence of long-range many-body interactions on Majorana zero modes present in Kitaev…

Mesoscale and Nanoscale Physics · Physics 2019-10-21 Andrzej Więckowski , Andrzej Ptok

We theoretically explore the emergence of strong zero modes in a two-site chain consisting of two quantum dots coupled due to a central dot that mediates electron hopping and singlet superconducting pairing. In the presence of time-reversal…

Mesoscale and Nanoscale Physics · Physics 2025-07-02 A. Mert Bozkurt , Sebastian Miles , Sebastiaan L. D. ten Haaf , Chun-Xiao Liu , Fabian Hassler , Michael Wimmer

We consider a chain of spinful fermions with nearest neighbor hopping in the presence of a $XY$ antiferromagnetic interaction. The $XY$ term is mapped onto a Kitaev chain at half-filling such that displays a bosonic zero mode topologically…

Quantum Physics · Physics 2021-05-11 Gianluca Francica

Recent experimental advances in the field of cold atoms led to the development of novel techniques for producing synthetic dimensions and synthetic magnetic fields, thus greatly expanding the utility of cold atomic systems for exploring…

Quantum Gases · Physics 2018-03-28 Or Golan , Eran Sela , Kirill Shtengel

Spin vacancies in the non-Abelian Kitaev spin liquid are known to harbor Majorana zero modes, potentially enabling topological quantum computing at elevated temperatures. Here, we study the spectroscopic signatures of such Majorana zero…

Strongly Correlated Electrons · Physics 2023-07-21 Wen-Han Kao , Natalia B. Perkins , Gábor B. Halász

Zero energy modes are shown to exist in silicene under suitably chosen magnetic as well as electric fields. Two Majorana modes are found on the application of opposite local magnetization on the silicene sub-lattices. We identify a…

Applied Physics · Physics 2018-01-15 Anant Vijay Varma , Prasanta K. Panigrahi

The Sachdev-Ye-Kitaev (SYK) model is zero-dimensional model simulating quantum chaos using interacting Majorana fermions.Previously proposals have been made to realize the SYK model in fermionic systems that can support majorana zero modes.…

Strongly Correlated Electrons · Physics 2024-12-13 Han-yuan Zuo , Zheng-xin Liu

In this study, a spin-1/2 extended anisotropic XY chain has been introduced in which both time reversal and SU(2) symmetries are broken but $Z_2$ symmetry is preserved. Magnetic and topological phase diagrams in the parameter space have…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Rakesh Kumar Malakar , Asim Kumar Ghosh
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