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Recent theories and experiments have suggested that strong spin-orbit coupling effects in certain band insulators can give rise to a new phase of quantum matter, the so-called topological insulator, which can show macroscopic entanglement…

Mesoscale and Nanoscale Physics · Physics 2009-08-26 Y. Xia , D. Qian , D. Hsieh , L. Wray , A. Pal , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

The Klein bottle Benalcazar-Bernevig-Hughes (BBH) insulator phase plays a pivotal role in understanding higher-order topological phases. The insulator phase is characterized by a unique feature: a nonsymmorphic glide symmetry that exists…

Mesoscale and Nanoscale Physics · Physics 2024-07-22 Xizhou Shen , Keyu Pan , Xiumei Wang , Xingping Zhou

The Benalcazar-Bernevig-Hughes (BBH) quadrupole insulator model is a cornerstone model for higher-order topological phases. It requires \pi-flux threading through each plaquette of the two-dimensional Su-Schrieffer-Heeger model. Recent…

Mesoscale and Nanoscale Physics · Physics 2023-12-12 Chang-An Li , Junsong Sun , Song-Bo Zhang , Huaiming Guo , Björn Trauzettel

A topological Kondo insulator (TKI) is a strongly-correlated material, where hybridization between the conduction electrons and localized f-electrons gives rise to a crossover from a metallic behavior at high temperatures to a topologically…

Mesoscale and Nanoscale Physics · Physics 2015-02-20 Dmitry K. Efimkin , Victor Galitski

Photonic topological insulator plates violate Lorentz reciprocity which leads to a directionality of surface-guided modes. This in-plane directionality can be imprinted via an applied magnetic field. On the basis of macroscopic quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 F. Lindel , G. W. Hanson , M. Antezza , S. Y. Buhmann

The surfaces of intrinsic magnetic topological insulators (TIs) host magnetic moments exchange-coupled to Dirac electrons. We study the magnetic phases arising from tuning the electron density using variational and exact diagonalization…

Mesoscale and Nanoscale Physics · Physics 2021-08-23 Nisarga Paul , Liang Fu

Magnetotransport through cylindrical topological insulator (TI) nanowires is governed by the interplay between quantum confinement and geometric (Aharonov-Bohm and Berry) phases. Here, we argue that the much broader class of TI nanowires…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Raphael Kozlovsky , Ansgar Graf , Denis Kochan , Klaus Richter , Cosimo Gorini

Shortly after the discovery of topological band insulators, topological Kondo insulators (TKIs) have also been theoretically predicted. The latter has ignited revival interest in the properties of Kondo insulators. Currently, the…

Strongly Correlated Electrons · Physics 2025-06-05 C. -C. Joseph Wang , Jean-Pierre Julien , A. V. Balatsky , Jian-Xin Zhu

The surface of a topological insulator is a closed two dimensional manifold. The surface states are described by the Dirac Hamiltonian in curved two dimensional spaces. For a slab-like sample with a magnetic field perpendicular to its top…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Dung-Hai Lee

We study the interaction between a ferromagnetically ordered medium and the surface states of a topological insulator with a general surface termination. This interaction is strongly crystal face dependent and can generate chiral states…

Mesoscale and Nanoscale Physics · Physics 2013-03-19 Fan Zhang , C. L. Kane , E. J. Mele

The Dirac fermions at the surface of a topological insulator can be gapped by introducing magnetic dopants. Alternatively, in an ultra-thin slab with thickness on the order of the extent of the surface states, both the top and bottom…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Calvin J. Tabert , J. P. Carbotte

We consider weak topological insulators with a twofold rotation symmetry around the dark direction, and show that these systems can be endowed with the topological crystalline structure of a higher-order topological insulator protected by…

Mesoscale and Nanoscale Physics · Physics 2020-08-04 Sander H. Kooi , Guido van Miert , Carmine Ortix

The surface of a topological insulator hosts a very special form of a quasi-two dimensional metallic system when it is embedded in a topologically trivial medium like the vacuum. The electronic properties of this unusual 2D metal are…

Mesoscale and Nanoscale Physics · Physics 2012-08-13 M. M. Vazifeh , M. Franz

We study the surface states and chiral hinge states of a 3D second-order topological insulator in the presence of an external magnetic gauge field. Surfaces pierced by flux host Landau levels, while surfaces parallel to the applied field…

Strongly Correlated Electrons · Physics 2021-09-03 B. A. Levitan , L. Goutte , T. Pereg-Barnea

We consider the combined effect of a gap and a Zeeman interaction on the helical Dirac fermions which exist on the surface of a topological insulator. Magneto-optical properties, the magnetization, Hall effect and the density of states are…

Mesoscale and Nanoscale Physics · Physics 2015-06-08 Calvin J. Tabert , J. P. Carbotte

The exploration of magnetic topological insulators is instrumental in exploring axion electrodynamics and intriguing transport phenomena, such as the quantum anomalous Hall effect. Here, we report that a family of magnetic compounds…

Materials Science · Physics 2024-11-07 Yufei Zhao , Yiyang Jiang , Hyeonhu Bae , Kamal Das , Yongkang Li , Chao-Xing Liu , Binghai Yan

We present a new boundary condition for simulations of magnetic reconnection based on the topology of a Klein bottle. When applicable, the new condition is computationally cheaper than fully periodic boundary conditions, reconnects more…

Plasma Physics · Physics 2024-07-23 Luke Xia , M. Swisdak

We study surface state plasmonics in the periodic Anderson model of a bulk topological Kondo insulator system, involving strongly correlated f electrons screened by weakly correlated d electrons, performing a mean-field theoretic…

Strongly Correlated Electrons · Physics 2019-10-15 Partha Goswami

Two questions on the topology of compact energy surfaces of natural two degrees of freedom Hamiltonian systems in a magnetic field are discussed. We show that the topology of this 3-manifold (if it is not a unit tangent bundle) is uniquely…

chao-dyn · Physics 2008-02-03 Alexey Bolsinov , Holger R. Dullin , Andreas Wittek

This study extends the functional perturbation theory~(FPT) of dynamical systems, which was initially developed for investigating the shifts of magnetic field line trajectories within the chaotic edge region of plasma when subjected to…

Chaotic Dynamics · Physics 2024-11-26 Wenyin Wei , Jiankun Hua , Alexander Knieps , Yunfeng Liang
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