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A topological insulator (TI) nanowire (NW), where the core is insulating and the 2D spin-helical Dirac fermion topological surface states (TSS) are circumferentially quantized into a series of 1D sub-bands, promises novel topological…

Mesoscale and Nanoscale Physics · Physics 2017-06-22 Luis A. Jauregui , Michael T. Pettes , Leonid P. Rokhinson , Li Shi , Yong P. Chen

In this article, we propose a practical way to realize topological surface Dirac fermions with tunable attractive interaction between them. The approach involves coating the surface of a topological insulator with a thin film metal and…

Superconductivity · Physics 2025-05-08 Saran Vijayan , Fei Zhou

In 5d transition metal oxides such as the iridates, novel properties arise from the interplay of electron correlations and spin-orbit interactions. We investigate the electronic structure of the pyrochlore iridates, (such as…

Strongly Correlated Electrons · Physics 2015-05-19 Xiangang Wan , Ari Turner , Ashvin Vishwanath , Sergey Y. Savrasov

Topological magnon insulators (TMI) are ordered magnets supporting chiral edge magnon excitations. These edge states are envisioned to serve as topologically protected information channels in low-loss magnonic devices. The standard…

Strongly Correlated Electrons · Physics 2023-08-08 Jonas Habel , Alexander Mook , Josef Willsher , Johannes Knolle

A 3D fermionic topological insulator has a gapless Dirac surface state protected by time-reversal symmetry and charge conservation symmetry. The surface state can be gapped by introducing ferromagnetism to break time-reversal symmetry,…

Strongly Correlated Electrons · Physics 2013-09-24 Parsa Bonderson , Chetan Nayak , Xiao-Liang Qi

One-dimensional (1D) topologically protected states are usually formed at the interface between two-dimensional (2D) materials with different topological invariants. Therefore, 1D chiral interface channels (CICs) can be created at the…

Mesoscale and Nanoscale Physics · Physics 2023-02-14 Yi-Fan Zhao , Ruoxi Zhang , Jiaqi Cai , Deyi Zhuo , Ling-Jie Zhou , Zi-Jie Yan , Moses H. W. Chan , Xiaodong Xu , Cui-Zu Chang

A single massive Dirac surface band is predicted to exhibit a half-quantized Hall conductance, a hallmark of the C = 1/2 parity anomaly state in quantum field theory. Experimental signatures of the C = 1/2 parity anomaly state have been…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Deyi Zhuo , Bomin Zhang , Humian Zhou , Han Tay , Xiaoda Liu , Zhiyuan Xi , Chui-Zhen Chen , Cui-Zu Chang

We discover a new type of geometric phase of Dirac fermions in solids, which is an electronic analogue of the Pancharatnam phase of polarized light. The geometric phase occurs in a local and nonadiabatic scattering event of Dirac fermions…

Mesoscale and Nanoscale Physics · Physics 2018-08-28 Sang-Jun Choi , Sunghun Park , H. -S. Sim

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

In 2D topological insulators (TIs) based on semiconductor quantum wells such as HgTe/CdTe or InAs/GaSb/AlSb, spin polarized edge states have been predicted with a massless Dirac like dispersion. In a hard wall treatment based on the 4 x 4…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 P. C. Klipstein

Recent works have proved the existence of symmetry-protected edge states in certain one-dimensional topological band insulators and superconductors at the gap-closing points which define quantum phase transitions between two topologically…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Oleksandr Balabanov , Daniel Erkensten , Henrik Johannesson

We propose a feasible experimental scheme to realize a three-dimensional chiral topological insulator with cold fermionic atoms in an optical lattice, which is characterized by an integer topological invariant distinct from the conventional…

Strongly Correlated Electrons · Physics 2014-07-18 Sheng-Tao Wang , Dong-Ling Deng , Lu-Ming Duan

The surface of superconducting topological insulators (STIs) has been recognized as an effective $p\pm ip$ superconductivity platform for realizing elusive Majorana fermions. Chiral Majorana modes (CMMs), which are different from Majorana…

Superconductivity · Physics 2016-12-30 Ching-Kai Chiu , Guang Bian , Hao Zheng , Jiaxin Yin , Songtian S. Zhang , Su-Yang Xu , M. Zahid Hasan

The interaction of spin-polarized one-dimensional (1D) topological edge modes localized along single-atomic steps of the topological crystalline insulator $Pb_{0.7}Sn_{0.3}Se(001)$ has been studied systematically by scanning tunneling…

Strongly Correlated Electrons · Physics 2021-06-30 Johannes Jung , Artem Odobesko , Robin Boshuis , Andrzej Szczerbakow , Tomasz Story , Matthias Bode1

The band inversions that generate the topologically non-trivial band gaps of topological insulators and the isolated Dirac touching points of three-dimensional Dirac semimetals generally arise from the crossings of electronic states derived…

We study theoretically the electronic structure of three-dimensional (3D) higher-order topological insulators in the presence of step edges. We numerically find that a 1D conducting state with a helical spin structure, which also has a…

Mesoscale and Nanoscale Physics · Physics 2023-11-02 Akihiko Sekine , Manabu Ohtomo , Kenichi Kawaguchi , Mari Ohfuchi

We propose a realization of chiral Majorana modes propagating on the hinges of a 3D antiferromagnetic topological insulator, which was recently theoretically predicted and experimentally confirmed in the tetradymite-type…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Yang Peng , Yong Xu

We discuss the excitation spectra around the Dirac node on a surface of a three-dimensional topological insulator. By using the diagrammatic expansion, we show that the coupling of an electron with the gauge field in the presence of…

Mesoscale and Nanoscale Physics · Physics 2013-05-09 Tetsuro Habe , Yasuhiro Asano

The surface states in three-dimensional (3D) topological insulators (TIs) can be described by a two-dimensional (2D) continuous Dirac Hamiltonian. However, there exists the Fermion doubling problem when putting the continuous 2D Dirac…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Yan-Feng Zhou , Hua Jiang , X. C. Xie , Qing-Feng Sun

We show the existence of massive Dirac fermions in electronic band structures of a few Fe atomic layers with perpendicular magnetization. Based on a tight binding model fitted to ab-initio band structure, we observe four distinct massive…

Materials Science · Physics 2015-09-24 Xiao-Tian Zhang , Baolong Xu , Kohji Nakamura , Ryuichi Shindou
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