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Majorana fermion (MF) whose antiparticle is itself has been predicted in condensed matter systems. Signatures of the MFs have been reported as zero energy modes in various systems. More definitive evidences are highly desired to verify the…

We propose a simple scenario to describe a dislocation-induced Majorana zero mode on the surface of an iron-based superconductor, using an illustrative model with a cylindrical hole of radius $R$ perpendicular to its top surface.…

Superconductivity · Physics 2025-05-28 Naoki Otsuki , Yositake Takane

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang

We review the contributions of surface science methods to discover and improve 3D topological insulator materials, while illustrating with examples from our own work. In particular, we demonstrate that spin-polarized angular-resolved…

We analyze the topological superconductivity and investigate the spectroscopic properties manifested by the zero-energy modes, induced in a metallic strip embedded into a Josephson-type junction. Focusing on the Majorana polarization of…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Szczepan Głodzik , Nicholas Sedlmayr , Tadeusz Domański

This paper proposes a quantitative description of the low energy edge states at the interface between two-dimensional topological insulators. They are modeled by continuous Hamiltonians as systems of Dirac equations that are amenable to a…

Mathematical Physics · Physics 2018-08-16 Guillaume Bal

We provide a detailed analysis of a realization of chiral gapless edge modes in the framework of the Hofstadter model of interacting electrons. In a transverse homogeneous magnetic field and a rational magnetic flux through an unit cell the…

Strongly Correlated Electrons · Physics 2019-01-31 Igor N. Karnaukhov

We demonstrate that an exotically chiral f-wave topological superfluid can be induced in coldfermionic-atom triangular optical lattices through the laser-field-generated effective non-Abelian gauge field, controllable Zeeman fields and…

Quantum Gases · Physics 2015-06-25 Ningning Hao , Guocai Liu , Ning Wu , Jiangping Hu , Yupeng Wang

Recent research on disorder effects in topological phases in quasicrystalline systems has received much attention. In this work, by numerically computing the (spin) Bott index and the thermal conductance, we reveal the effects of disorder…

Mesoscale and Nanoscale Physics · Physics 2021-10-15 Chun-Bo Hua , Zheng-Rong Liu , Tan Peng , Rui Chen , Dong-Hui Xu , Bin Zhou

We study the planar magnetic textures in an insulating magnetic film coupled to the Dirac surface state of a topological insulator. It is shown that the radial vortex with winding number $w=\pm1$ leads to the confinement of Dirac states,…

Mesoscale and Nanoscale Physics · Physics 2022-08-31 Zhaochen Liu , Jing Wang , Congjun Wu

Helical edge states in topological insulators give counterpropagating spin current on the two parallel edges. We here propose anti-helical edge states of magnons in patterned antiferromagnetic thin films, which host copropagating spin…

Mesoscale and Nanoscale Physics · Physics 2023-07-18 Yun-Mei Li

We study the low-energy edge states of a superconductor -- 3D topological-insulator hybrid structure (NS junction) in the presence of a perpendicular magnetic field. The hybridization of electron-like and hole-like Landau levels due to…

Mesoscale and Nanoscale Physics · Physics 2014-10-10 Rakesh P. Tiwari , U. Zülicke , C. Bruder , Vladimir M. Stojanović

We study theoretically the electrical current and low-frequency noise for a linear Josephson junction structure on a topological insulator, in which the superconductor forms a closed ring and currents are injected from normal regions inside…

Mesoscale and Nanoscale Physics · Physics 2014-02-10 Benjamin J. Wieder , Fan Zhang , C. L. Kane

We derive a general low-energy theory for twisted moir\'e heterostructures comprised of Dirac materials. We apply our theory to heterostructures on the surface of a three dimensional topological insulator (3D TI). First, we consider the…

Strongly Correlated Electrons · Physics 2023-02-21 Aaron Dunbrack , Jennifer Cano

Low energy excitation of surface states of a three-dimensional topological insulator (3DTI) can be described by Dirac fermions. By using a tight-binding model, the transport properties of the surface states in a uniform magnetic field is…

Mesoscale and Nanoscale Physics · Physics 2012-01-16 Yan-Yang Zhang , Xiang-Rong Wang , X. C. Xie

We show that a class of weak three-dimensional topological insulators feature one-dimensional Dirac electrons on their surfaces. Their hallmark is a line-like energy dispersion along certain directions of the surface Brillouin zone. These…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 Alexander Lau , Carmine Ortix , Jeroen van den Brink

We propose a class of models for a magnonic analog of topological insulators in three dimensions. The models have pseudo-time-reversal symmetry which ensures the existence of bosonic Kramers pairs. We define a set of $\mathbb{Z}_2$…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Hiroki Kondo , Yutaka Akagi , Hosho Katsura

Topological insulators in the Bi$_2$Se$_3$ family manifest helical Dirac surface states that span the topologically ordered bulk band gap. Recent scanning tunneling microscopy measurements have discovered additional states in the bulk band…

Materials Science · Physics 2018-08-01 Yishuai Xu , Guodong Jiang , Janet Chiu , Lin Miao , Erica Kotta , Yutan Zhang , Rudro R. Biswas , L. Andrew Wray

We show that in double-chain Mott insulators (ladders), disordered alternating ionic potentials may locally destroy coherence of magnetic excitations and lead to the appearance of spontaneously dimerized islands inside the Haldane…

Strongly Correlated Electrons · Physics 2015-05-28 A. A. Nersesyan , A. M. Tsvelik

The massless Dirac fermions residing on the surface of three-dimensional topological insulators are protected from backscattering and cannot be localized by disorder, but such protection can be lifted in ultrathin films when the…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 A. A. Taskin , Satoshi Sasaki , Kouji Segawa , Yoichi Ando
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