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The abstract notion of topology has led to profound insights into real materials. Notably, the surface and edges of topological materials can host physics, such as unidirectional charge or spin transport, that is unavailable in isolated…

Mesoscale and Nanoscale Physics · Physics 2021-07-02 Nicodemos Varnava , Justin H. Wilson , J. H. Pixley , David Vanderbilt

Abnormal electronic properties of complex systems require new ideas concerning explanation of their behavior and possibility of realization. In this acticle we show that a colossal magnetoresistance is realized in the state of the…

Strongly Correlated Electrons · Physics 2016-04-21 Igor O. Slieptsov , Igor N. Karnaukhov

The surface of a 3D topological insulator is described by a helical electron state with the electron's spin and momentum locked together. We show that in the presence of ferromagnetic fluctuations the surface of a topological insulator is…

Strongly Correlated Electrons · Physics 2016-08-16 Mehdi Kargarian , Dmitry K. Efimkin , Victor Galitski

We numerically investigate the surface states of a strong topological insulator in the presence of strong electron-electron interactions. We choose a spherical topological insulator geometry to make the surface amenable to a finite size…

Strongly Correlated Electrons · Physics 2015-07-08 T. Neupert , S. Rachel , R. Thomale , M. Greiter

We give an introduction to topological crystalline insulators, that is, gapped ground states of quantum matter that are not adiabatically connected to an atomic limit without breaking symmetries that include spatial transformations, like…

Mesoscale and Nanoscale Physics · Physics 2021-04-30 Titus Neupert , Frank Schindler

The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in…

Strongly Correlated Electrons · Physics 2013-01-04 Ari M. Turner , Ashvin Vishwanath

In the past few years materials with protected gapless surface (edge) states have risen to the central stage of condensed matter physics. Almost all discussions centered around topological insulators and superconductors, which possess full…

Superconductivity · Physics 2013-10-01 Fa Wang , Dung-Hai Lee

Ferromagnetism in topological insulators (TIs) opens a topologically non-trivial exchange band gap, providing an exciting platform to manipulate the topological order through an external magnetic field. Here, we experimentally show that the…

Pursuing topological phase and matter in a variety of systems is one central issue in current physical sciences and engineering. Motivated by the recent experimental observation of corner states in acoustic and photonic structures, we…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Z. -X. Li , Yunshan Cao , Peng Yan , X. R. Wang

Topological surface states, a new kind of electronic state of matter, have recently been observed on the cleaved surfaces of crystals of a handful of small band gap semiconductors. The underlying chemical factors that enable these states…

Materials Science · Physics 2013-07-19 R. J. Cava , Huiwen Ji , M. K. Fuccillo , Q. D. Gibson , Y. S. Hor

We introduce antiferroelectric topological insulators as a new class of functional materials in which an electric field can be used to control topological order and induce topological phase transitions. Using first principles methods, we…

Materials Science · Physics 2017-07-26 Bartomeu Monserrat , Joseph W. Bennett , Karin M. Rabe , David Vanderbilt

Certain insulating materials with strong spin-orbit coupling can conduct currents along their edges or surfaces. This phenomenon arises from the non-trivial topological properties of the electronic band-structure, and is somewhat similar to…

Strongly Correlated Electrons · Physics 2013-08-22 Predrag Nikolic , Tanja Duric , Zlatko Tesanovic

Topological insulators are newly discovered materials with the defining property that any boundary cut into such crystal supports spectrum which is immune to the Anderson localization. The present paper summarizes our efforts on the…

Mathematical Physics · Physics 2016-02-03 Emil Prodan

The ferromagnetic and antiferromagnetic nanostructure are crucial for fundamental spintronics devices, motivated by its potential application in spintronics, we theoretically investigate the electronic structure of the ferromagnetic and…

Mesoscale and Nanoscale Physics · Physics 2025-04-09 Jian Li , Zhu-Cai Yin , Qing-Xv Li , Jia-Ji Zhu

Antiferromagnetic transition metal oxides are an established and widely studied materials system in the context of spin-based electronics, commonly used as passive elements in exchange bias-based memory devices. Currently, major interest…

Materials Science · Physics 2023-03-24 H. Meer , O. Gomonay , A. Wittmann , M. Kläui

The magnetoelectric effect predicted in topological insulators makes heterostructures that combine magnetic materials and such insulators promising candidates for spintronics applications. Here, we theoretically consider a setup that…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Stefan Rex , Flavio S. Nogueira , Asle Sudbo

Topological insulators are quantum materials that have an insulating bulk state and a topologically protected metallic surface state with spin and momentum helical locking and a Dirac-like band structure. Unique and fascinating electronic…

Optics · Physics 2018-11-21 Zengji Yue , Xiaolin Wang , Min Gu

The recent discovery of antiferromagnetic (AFM) topological insulator (TI) MnBi$_2$Te$_4$ has triggered great research efforts on exploring novel magnetic topological physics. Based on first-principles calculations, we find that the…

Mesoscale and Nanoscale Physics · Physics 2019-09-18 Jiaheng Li , Chong Wang , Zetao Zhang , Bing-Lin Gu , Wenhui Duan , Yong Xu

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

Exploring new topological phenomena and functionalities induced by strong electron correlation has been a central issue in modern condensed-matter physics. One example is a topological insulator (TI) state and its functionality driven by…

Strongly Correlated Electrons · Physics 2023-04-21 Tetsuya Nomoto , Shusaku Imajo , Hiroki Akutsu , Yasuhiro Nakazawa , Yoshimitsu Kohama