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We study collective behavior of magnetic adatoms randomly distributed on the surface of a topological insulator. As a consequence of the spin-momentum locking on the surface, the RKKY-type interactions of two adatom spins depend on the…

Mesoscale and Nanoscale Physics · Physics 2011-03-31 D. A. Abanin , D. A. Pesin

Understanding and control of spin degrees of freedom on the surfaces of topological materials are key to future applications as well as for realizing novel physics such as the axion electrodynamics associated with time-reversal (TR)…

Ferromagnetism and electrical insulation are often at odds, signifying an inherent trade off. The simultaneous optimization of both in one material, essential for advancing spintronics and topological electronics, necessitates the…

The surface of a three-dimensional topological electron system often hosts symmetry-protected gapless surface states. With the effect of electron interactions, these surface states can be gapped out without symmetry breaking by a surface…

Strongly Correlated Electrons · Physics 2015-12-08 Yang Qi , Liang Fu

Triply periodic minimal surfaces (TPMS) are discovered to conform to surfaces of given charge density distributions embedded in crystals [Z. Kristallogr. \textbf{170}, 138 (1985)]. Based on our previous work [Phys. Rev. Mater. \textbf{9},…

Materials Science · Physics 2025-10-14 M. Yin , D. D. Vvedensky

A new mechanism of bi-linear magnetoresistance (BMR) is studied theoretically within the minimal model describing surface electronic states in topological insulators (TIs). The BMR appears as a consequence of the second-order response to…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 A. Dyrdał , J. Barnaś , A. Fert

We study quantum corrals on the surface of a topological insulator (TI). Different resonance states induced by nonmagnetic (NM), antiferromagnetic (AFM), and ferromagnetic (FM) corrals are found. Intriguingly, the spin is clearly…

Mesoscale and Nanoscale Physics · Physics 2012-01-05 Zhen-Guo Fu , Ping Zhang , Zhigang Wang , Shu-Shen Li

Antiferromagnetic topological insulators harbor topological in-gap surface states protected by an anti-unitary $S$ symmetry, which is broken by the inevitable presence of domain walls. Whether an antiferromagnetic topological insulator with…

Mesoscale and Nanoscale Physics · Physics 2022-01-31 Yihao Lin , Ji Feng

Emergent phenomena arising from nontrivial band structures based on topology and symmetry have been attracting keen interest in contemporary condensed-matter physics. Materials such as SnTe and PbTe are one such example, which demonstrate a…

We demonstrate that the metallic topological surface states wrap on all sides the 3D topological crystalline insulator SnTe. This is achieved by studying oscillatory quantum magneto-transport and magnetization at tilted magnetic fields…

Materials Science · Physics 2017-11-22 K. Dybko , M. Szot , A. Szczerbakow , M. U. Gutowska , T. Zajarniuk , J. Z. Domagala , A. Szewczyk , T. Story , W. Zawadzki

The possible existence of topological insulators in cubic pyrochlore iridates A$_{2}$Ir$_{2}$O$_{7}$ (A = Y or rare-earth elements) is investigated by taking into account the strong spin-orbit coupling and trigonal crystal field effect. It…

Strongly Correlated Electrons · Physics 2015-03-14 Bohm-Jung Yang , Yong Baek Kim

In an ideal topological insulator, the helical spin structure of surface electrons suppresses backscattering and thus can enhance surface conductivity. We investigate the effect of perpendicular magnetic field on the spin structure of…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Teoman Ozturk , Richard L. Field , Yun Suk Eo , Steven Wolgast , Kai Sun , Cagliyan Kurdak

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…

We investigate the effect of surface anisotropy in a spherical many-spin magnetic nanoparticle. By computing minor loops, two-dimensional (2D) and 3D energyscape, and by investigating the behavior of the net magnetization, we show that in…

Statistical Mechanics · Physics 2009-11-11 H. Kachkachi , E. Bonet

Topological insulators with intrinsic magnetic order are emerging as an exciting platform to realize fundamentally new excitations from topological quantum states of matter. To study these systems and their physics, people have proposed a…

We theoretically investigate a new kind of nonlinear magnetoresistance on the surface of three-dimensional topological insulators (TIs). At variance with the unidirectional magnetoresistance (UMR) effect in magnetic bilayers, this nonlinear…

Materials Science · Physics 2020-08-13 Steven S. -L. Zhang , Giovanni Vignale

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 crystalline insulators represent a novel topological phase of matter in which the surface states are protected by discrete point group-symmetries of the underlying lattice. Rock-salt lead-tin-selenide alloy is one possible…

Mesoscale and Nanoscale Physics · Physics 2013-10-03 A. Gyenis , I. K. Drozdov , S. Nadj-Perge , O. B. Jeong , J. Seo , I. Pletikosic , T. Valla , G. D. Gu , A. Yazdani

In addition to novel surface states, topological insulators can also exhibit robust gapless states at crystalline defects. Step edges constitute a class of common defects on the surface of crystals. In this work we establish the topological…

Strongly Correlated Electrons · Physics 2019-04-17 Davide Iaia , Chang-Yan Wang , Yulia Maximenko , Daniel Walkup , R. Sankar , Fangcheng Chou , Yuan-Ming Lu , Vidya Madhavan

Topological insulators host spin-polarized surface states born out of the energetic inversion of bulk bands driven by the spin-orbit interaction. Here we discover previously unidentified consequences of band-inversion on the surface…