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Jackiw-Rebbi zero modes were first proposed in 1976 as topologically protected zero-energy states localized at domain walls in one-dimensional Dirac systems. They have attracted widespread attention in the field of topological quantum…

介观与纳米尺度物理 · 物理学 2026-01-01 Haoran Ge , Zhen Chen , Yijia Wu , X. C. Xie

We theoretically investigate the emergence of Jackiw-Rebbi zero modes and their conductance signature in non-uniform topological insulator nano-wires. We modelled the non-uniform nano-wires as junction between two cylindrical nano-wires…

介观与纳米尺度物理 · 物理学 2019-08-28 Sayan Jana , Arijit Saha , Sourin Das

In this paper we present a complete and exact spectral analysis of the $(1+1)$-dimensional model that Jackiw and Rebbi considered to show that the half-integral fermion numbers are possible due to the presence of an isolated self charge…

高能物理 - 理论 · 物理学 2014-02-12 Farid Charmchi , Siamak S. Gousheh

Topological zero modes in topological insulators or superconductors are exponentially localized at the phase transition between a topologically trivial and nontrivial phase. These modes are solutions of a Jackiw-Rebbi equation modified with…

高能物理 - 理论 · 物理学 2025-05-05 Pasquale Marra , Angela Nigro

Motivated by the recent Kitaev's K-theory analysis of topological insulators and superconductors, we adopt the same framework to study the topological phase structure of Jackiw-Rebbi model in 3+1 dimensions. According to the K-theory…

高能物理 - 理论 · 物理学 2015-06-05 Shih-Hao Ho , Feng-Li Lin , Xiao-Gang Wen

We propose the $2\pi$-periodic Aharonov-Bohm (AB) effect as a nonlocal probe of Majorana zero modes (MZMs) without the restriction of fermion parity. We demonstrate the enhancement of the AB effect, where the topological protection of MZMs…

介观与纳米尺度物理 · 物理学 2023-04-19 Masayuki Sugeta , Takeshi Mizushima , Satoshi Fujimoto

We find the coexistence of two kinds of non-abelian anyons, Majorana fermion at the geometric ends and Jackiw-Rebbi-type bound state (JRBS)at a domain-wall, in a topological superconducting phase in one-dimensional (1D) systems. Each…

强关联电子 · 物理学 2015-06-22 Ye Xiong , Peiqing Tong

The Jackiw-Rebbi model describes a one-dimensional Dirac particle coupled to a soliton field and can be equivalently thought of as the model describing a Dirac particle under a Lorentz scalar potential. Neglecting the dynamics of the…

量子物理 · 物理学 2015-02-11 Dimitris G. Angelakis , Priyam Das , Changsuk Noh

We investigate the Aharonov-Bohm (AB) effect for the double quantum dots in the Kondo regime using the slave-boson mean-field approximation. In contrast to the non-interacting case, where the AB oscillation generally has the period of…

介观与纳米尺度物理 · 物理学 2007-05-23 Yoichi Tanaka , Norio Kawakami

Understanding the nature of confinement, as well as its relation with the spontaneous breaking of chiral symmetry, remains one of the long-standing questions in high-energy physics. The difficulty of this task stems from the limitations of…

We show that correlated two-particle backscattering can induce fractional charge oscillations in a quantum dot built at the edge of a two-dimensional topological insulator by means of magnetic barriers. The result nicely complements recent…

介观与纳米尺度物理 · 物理学 2017-05-24 N. Traverso Ziani , C. Fleckenstein , G. Dolcetto , B. Trauzettel

We prove an index theorem for the existence of Majorana zero modes in a semiconducting thin film with a sizable spin-orbit coupling when it is adjacent to an s-wave superconductor. The theorem, which is analogous to the Jackiw-Rebbi index…

强关联电子 · 物理学 2010-01-21 Sumanta Tewari , Jay D. Sau , S. Das Sarma

The study of non-Abelian Majorana zero modes advances our understanding of the fundamental physics in quantum matter, and pushes the potential applications of such exotic states to topological quantum computation. It has been shown that in…

介观与纳米尺度物理 · 物理学 2014-05-02 Xiong-Jun Liu , Chris L. M. Wong , K. T. Law

It has been proposed that band-inverted electron-hole bilayers support a phase transition from an insulating phase with spontaneously broken time-reversal symmetry to a quantum spin Hall insulator phase as a function of increasing electron…

介观与纳米尺度物理 · 物理学 2022-12-21 Tania Paul , V. Fernández Becerra , Timo Hyart

We demonstrate operation of a small Fabry-Perot interferometer in which highly coherent Aharonov-Bohm oscillations are observed in the integer and fractional quantum Hall regimes. Using a novel heterostructure design, Coulomb effects are…

介观与纳米尺度物理 · 物理学 2019-03-13 James Nakamura , Saeed Fallahi , Harshad Sahasrabudhe , Rajib Rahman , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

We propose the concept of a device based on a square-shaped sample of a two-dimensional second-order topological helical superconductor which hosts two zero-dimensional Majorana quasiparticles at the corners. The two zero-energy modes rely…

介观与纳米尺度物理 · 物理学 2020-09-23 Tudor E. Pahomi , Manfred Sigrist , Alexey A. Soluyanov

In this paper we analyze a generalized Jackiw-Rebbi (J-R) model in which a massive fermion is coupled to the kink of the $\lambda\phi^4$ model as a prescribed background field. We solve this massive J-R model exactly and analytically and…

高能物理 - 理论 · 物理学 2014-04-17 Farid Charmchi , Siamak S. Gousheh

We argue that the nonrelativistic Hamiltonian of p_x+ip_y superconductor in two dimensions can be derived from the relativistic Jackiw-Rossi model by taking the limit of large Zeeman magnetic field and chemical potential. In particular, the…

超导电性 · 物理学 2010-10-27 Yusuke Nishida , Luiz Santos , Claudio Chamon

In condensed matter physics, non-Abelian statistics for Majorana zero modes (or Majorana Fermions) is very important, really exotic, and completely robust. The race for searching Majorana zero modes and verifying the corresponding…

介观与纳米尺度物理 · 物理学 2021-12-22 Xiao-Ming Zhao , Cui-Xian Guo , Meng-Lei Yang , Heng-Wang , Wu-Ming Liu , Su-Peng Kou

Spin superconductor (SSC) is an exciton condensate state where the spin-triplet exciton superfluidity is charge neutral while spin $2(\hbar/2)$. In analogy to the Majorana zero mode (MZM) in topological superconductors, the interplay…

超导电性 · 物理学 2022-03-15 Yijia Wu , Jie Liu , Hua Jiang , Hua Chen , Haiwen Liu , X. C. Xie
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