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Magnons dominate the magnetic response of the recently discovered insulating ferromagnetic two dimensional crystals such as CrI$_3$. Because of the arrangement of the Cr spins in a honeycomb lattice, magnons in CrI$_3$ bear a strong…

Mesoscale and Nanoscale Physics · Physics 2020-02-04 A. T. Costa , D. L. R. Santos , N. M. R. Peres , J. Fernández-Rossier

The large spin orbit coupling in topological insulators results in helical spin-textured Dirac surface states that are attractive for topological spintronics. These states generate an efficient spin-orbit torque on proximal magnetic moments…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 Yang Lv , James Kally , Delin Zhang , Joon Sue Lee , Mahdi Jamali , Nitin Samarth , Jian-Ping Wang

Based on first-principles calculations and symmetry-based indicator analysis, we find a class of topological crystalline insulators (TCIs) with $C_2$ rotation anomaly in a family of Zintl compounds, including…

Materials Science · Physics 2019-08-14 Tan Zhang , Changming Yue , Tiantian Zhang , Simin Nie , Zhijun Wang , Chen Fang , Hongming Weng , Zhong Fang

Twisted transition metal dichalcogenides (tTMDs) provide a highly tunable platform to explore the interplay between strong correlation and topology. Among them, the properties involving the charge degree of freedom have been extensively…

Strongly Correlated Electrons · Physics 2025-08-25 Wei-Tao Zhou , Zhao-Yang Dong , Zhao-Long Gu , Jian-Xin Li

We identify three-dimensional higher-order superconductors characterized by the coexistence of one-dimensional Majorana hinge states and gapless surface sates. We show how such superconductors can be obtained starting from the model of a…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Sayed Ali Akbar Ghorashi , Xiang Hu , Taylor L. Hughes , Enrico Rossi

A topological insulator is a state of matter which does not break any symmetry and is characterized by topological invariants, the integer expectation values of non-local operators. Antiferromagnetism on the other hand is a broken symmetry…

Strongly Correlated Electrons · Physics 2018-05-15 R. A. Müller , N. R. Lee-Hone , L. Lapointe , D. H. Ryan , T. Pereg-Barnea , A. D. Bianchi , Y. Mozharivskyj , R. Flacau

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

Topological insulators are a recently discovered class of materials with fascinating properties: While the inside of the solid is insulating, fundamental symmetry considerations require the surfaces to be metallic. The metallic surface…

Topological properties of quantum materials are intimately related to symmetry. Here, we tune the magnetic order of the axion insulator candidate EuIn$_2$As$_2$ from its broken-helix ground state to the field-polarized phase by applying an…

Pursuing topological phases in natural and artificial materials is one of the central topics in modern physical science and engineering. In classical magnetic systems, spin waves (or magnons) and magnetic solitons (such as domain wall,…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Z. -X. Li , Yunshan Cao , Peng Yan

Spin-momentum helical locking is one of the most important properties of the nontrivial topological surface states (TSS) in 3D topological insulators (TI). It underlies the iconic topological protection (suppressing elastic backscattering)…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Jifa Tian , Isaac Childres , Helin Cao , Shen Tian , Ireneusz Miotkowski , Yong P. Chen

The surface of a higher order topological insulator (HOTI) comprises a two-dimensional topological insulator (TI) with broken inversion symmetry, whose mass is determined by the microscopic details of the surface such as surface potentials…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Raquel Queiroz , Ady Stern

Topological materials are typically characterized by gapless boundary states originated from nontrivial bulk band topology, known as topological bulk-boundary correspondence. Recently, this fundamental concept has been generalized in…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 D. M. Zhao , Y. Zhong , T. Yuan , H. T. Wang , T. X. Jiang , Y. Qi , H. J. Xiang , X. G. Gong , D. L. Feng , T. Zhang

Spin-orbit effects appearing in topological insulators (TI) and at Rashba interfaces are currently revolutionizing how we can manipulate spins and have led to several newly discovered effects, from spin-charge interconversion and spin-orbit…

The concepts of Weyl fermions and topological semimetals emerging in three-dimensional momentum space are extensively explored owing to the vast variety of exotic properties that they give rise to. On the other hand, very little is known…

Broken symmetry states characterizing density waves of higher angular momentum in correlated electronic systems are intriguing objects. In the scheme of characterization by angular momentum, conventional charge and spin density waves…

Strongly Correlated Electrons · Physics 2019-08-17 Sudip Chakravarty , Chen-Hsuan Hsu

We study spin susceptibility and magnetic order at the edges/surfaces of two-dimensional and three-dimensional topological insulators when the Fermi surface is nested. We find that due to spin-momentum locking as well as time-reversal…

Materials Science · Physics 2011-05-26 Jian-Hua Jiang , Si Wu

Topological crystalline insulators (TCI) possess electronic states protected by crystal symmetries, rather than time-reversal symmetry. We show that the transition metal oxides with heavy transition metals are able to support nontrivial…

Strongly Correlated Electrons · Physics 2015-06-12 Mehdi Kargarian , Gregory A. Fiete

We introduce a new type of topological magnon matter: the magnonic pendant to electronic nodal-line semimetals. Magnon spectra of anisotropic pyrochlore ferromagnets feature twofold degeneracies of magnon bands along a closed loop in…

Computational Physics · Physics 2017-01-25 Alexander Mook , Jürgen Henk , Ingrid Mertig

We recently showed that spin fluctuations of noncoplanar magnetic states can induce topological superconductivity in an adjacent normal metal [M{\ae}land et al., Phys. Rev. Lett. 130, 156002 (2023)]. The noncolinear nature of the spins was…

Superconductivity · Physics 2023-12-21 Kristian Mæland , Sara Abnar , Jacob Benestad , Asle Sudbø