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Topological insulators represent a new state of matter where the topological nature of the bulk bands dictates the existence of a surface state with unique properties. These materials are predicted to host exotic states such as Majorana…

Materials Science · Physics 2012-05-29 Yoshinori Okada , Wenwen Zhou , Chetan. Dhital , D. Walkup , Ying Ran , Z. Wang , Stephen D. Wilson , V. Madhavan

One of the unique features of Dirac Fermions is pseudo-diffusive transport by evanescent modes at low Fermi energies when the disorder is low. At higher Fermi energies i.e. carrier densities, the electrical transport is diffusive in nature…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Saurav Islam , Semonti Bhattacharyya , Hariharan Nhalil , Suja Elizabeth , Arindam Ghosh

Topological insulators are a novel class of quantum matter with a gapped insulating bulk yet gapless spin helical Dirac fermion conducting surface states. Here, we report local and non-local electrical and magneto transport measurements in…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 Yang Xu , Ireneusz Miotkowski , Yong P. Chen

We focus on the confinement of two-dimensional Dirac fermions within the waveguides created by realistic magnetic fields. Understanding of their band structure is of our main concern. We provide easily applicable criteria, mostly depending…

Mesoscale and Nanoscale Physics · Physics 2018-09-24 Marie Fialová , Vít Jakubský , Matěj Tušek

Three-dimensional topological insulators support gapless Dirac fermion surface states whose rich topological properties result from the interplay of symmetries and dimensionality. Their topological properties have been extensively studied…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Lakshmi Pullasseri , Daniel Shaffer , Luiz H. Santos

From a leading-order unbiased renormalization group analysis we here showcase the emergence of superconductivity (including the topological ones) from purely repulsive electron-electron interactions in two-dimensional doped Dirac…

Superconductivity · Physics 2025-06-26 Sk Asrap Murshed , Sanjib Kumar Das , Bitan Roy

Topological crystalline insulators (TCIs) can host anomalous surface states which inherits the characteristics of crystalline symmetry that protects the bulk topology. Especially, the diversity of magnetic crystalline symmetries indicates…

Mesoscale and Nanoscale Physics · Physics 2023-04-27 Yoonseok Hwang , Yuting Qian , Junha Kang , Jehyun Lee , Dongchoon Ryu , Hong Chul Choi , Bohm-Jung Yang

Understanding Dirac-like Fermions has become an imperative in modern condensed matter sciences: all across its research frontier, from graphene to high T$_c$ superconductors to the topological insulators and beyond, various electronic…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Oskar Vafek , Ashvin Vishwanath

We study the appearance of a chiral edge mode on the two-dimensional (2D) surface of a 3D topological insulator (TI). The edge mode appears along the 1D boundary with a magnetic insulator (MI), dependent on the angle $\theta$ which the…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 C. W. J. Beenakker

We report anisotropic Dirac-cone surface bands on a side-surface geometry of the topological insulator Bi$_2$Se$_3$ revealed by first-principles density-functional calculations. We find that the electron velocity in the side-surface Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Chang-Youn Moon , Jinhee Han , Hyungjun Lee , Hyoung Joon Choi

Conventional magnonic devices use three classes of magnetostatic waves that require detailed manipulation of magnetization structure that makes the design and the device/circuitry scalability difficult tasks. Here, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2017-07-04 X. S. Wang , H. W. Zhang , X. R. Wang

The possible realization of dissipationless chiral edge current in a topological insulator / magnetic insulator heterostructure is based on the condition that the magnetic proximity exchange coupling at the interface is dominated by the…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Mingda Li , Qichen Song , Weiwei Zhao , Joseph A Garlow , Te-Huan Liu , Lijun Wu , Yimei Zhu , Jagadeesh Moodera , Moses H W Chan , Gang Chen , Cui-Zu Chang

In the effective mass approximation, electronic property in graphene can be characterized by the relativistic Dirac equation. Within such a continuum model we investigate the electronic transport through graphene waveguides formed by…

Strongly Correlated Electrons · Physics 2015-05-13 Haidong Li , Lin Wang , Zhihuan Lan , Yisong Zheng

Ferromagnetic resonance is used to reveal features of the buried electronic band structure at interfaces between ferromagnetic metals and topological insulators. By monitoring the evolution of magnetic damping, the application of this…

Confining two dimensional Dirac fermions on the surface of topological insulators has remained an outstanding conceptual challenge. Here we show that Dirac fermion confinement is achievable in topological crystalline insulators (TCI), which…

Mesoscale and Nanoscale Physics · Physics 2022-09-22 Roni Majlin Skiff , Fernando de Juan , Raquel Queiroz , Subramanian Mathimalar , Haim Beidenkopf , Roni Ilan

We investigate surface plasmons at a planar interface between a normal dielectric and a topological insulator, where the Fermi-energy lies inside the bulk gap of the topological insulator and gives rise to a two-dimensional charge…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Robert Schütky , Christian Ertler , Andreas Trügler , Ulrich Hohenester

Magnetoresistance in many samples of Dirac semimetal and topological insulator displays non-monotonic behaviors over a wide range of magnetic field. Here a formula of magnetoconductivity is presented for massless and massive Dirac fermions…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Bo Fu , Huan-Wen Wang , Shun-Qing Shen

This paper presents a fast algorithm for computing transport properties of two-dimensional Dirac operators with linear domain walls, which model the macroscopic behavior of the robust and asymmetric transport observed at an interface…

Mathematical Physics · Physics 2023-05-17 Guillaume Bal , Jeremy G Hoskins , Zhongjian Wang

We develop a Dirac fermion theory for topological phases in magnetic topological insulator films. The theory is based on exact solutions of the energies and the wave functions for an effective model of the three-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Kai-Zhi Bai , Bo Fu , Shun-Qing Shen

The chemical stability of graphene and other free-standing two-dimensional crystals means that they can be stacked in different combinations to produce a new class of functional materials, designed for specific device applications. Here we…

Mesoscale and Nanoscale Physics · Physics 2013-05-03 L. Britnell , R. V. Gorbachev , A. K. Geim , L. A. Ponomarenko , A. Mishchenko , M. T. Greenaway , T. M. Fromhold , K. S. Novoselov , L. Eaves