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Topological states nurtures the emergence of devices with unprecedented functions in photonics, plasmonics, acoustics and phononics. As one of the recently discovered members, higher-order topological insulators (HOTIs) have been…

Materials Science · Physics 2021-06-17 Biye Xie , Hai-Xiao Wang , Xiujuan Zhang , Peng Zhan , Jian-Hua Jiang , Minghui Lu , Yanfeng Chen

We report a study of the magnetic and electronic properties of the non-centrosymmetric half-Heusler antiferromagnet HoPdBi ($T_N = 2.0$ K). Magnetotransport measurements show HoPdBi has a semimetallic behaviour with a carrier concentration…

Superconductivity · Physics 2015-07-31 A. M. Nikitin , Y. Pan , X. Mao , R. Jehee , G. K. Araizi , Y. K. Huang , C. Paulsen , S. C. Wu , B. H. Yan , A. de Visser

Quasicrystals allow for symmetries that are impossible in crystalline materials, such as eight-fold rotational symmetry, enabling the existence of novel higher-order topological insulators in two dimensions without crystalline counterparts.…

Mesoscale and Nanoscale Physics · Physics 2024-05-13 Yu-Feng Mao , Yu-Liang Tao , Jiong-Hao Wang , Qi-Bo Zeng , Yong Xu

Using first-principles calculations within density functional theory, we explore the feasibility of converting ternary half-Heusler compounds into a new class of three-dimensional topological insulators (3DTI). We demonstrate that the…

Materials Science · Physics 2010-10-07 Di Xiao , Yugui Yao , Wanxiang Feng , Jun Wen , Wenguang Zhu , Xingqiu Chen , G. Malcolm Stocks , Zhenyu Zhang

Higher-order topological~(HOT) states,~hosting topologically protected modes on lower-dimensional boundaries,~such as hinges and corners, have recently extended the realm of the static topological phases.~Here we demonstrate the possibility…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Tanay Nag , Vladimir Juricic , Bitan Roy

A topological insulator (TI) nanowire (NW), where the core is insulating and the 2D spin-helical Dirac fermion topological surface states (TSS) are circumferentially quantized into a series of 1D sub-bands, promises novel topological…

Mesoscale and Nanoscale Physics · Physics 2017-06-22 Luis A. Jauregui , Michael T. Pettes , Leonid P. Rokhinson , Li Shi , Yong P. Chen

We study the ordered phases and the phase transitions in the stacked triangular antiferromagnetic Ising (STAFI) model with strong interplane coupling modeling CsCoCl$_3$ and CsCoBr$_3$. We find that there exists an intermediate phase which…

Statistical Mechanics · Physics 2007-05-23 Norikazu Todoroki , Seiji Miyashita

We study the orbital magnetic quadrupole moment (MQM) in three dimensional higher-order topological phases. Much like electric quadrupole moment, which is associated with a charge response on the boundaries of a finite sample, the diagonal…

Mesoscale and Nanoscale Physics · Physics 2022-11-17 Jacopo Gliozzi , Mao Lin , Taylor L. Hughes

Magnetic ordering in topological insulators (TI) is crucial for breaking time-reversal symmetry (TRS) and thereby opening a gap in the topological surface states (TSSs) [1-6], which is the key for realizing useful topological properties…

We study the quantized charge pumping of higher-order topological insulators (HOTIs) with edge-corner correspondences based on the combination of the rotation of in-plane magnetic field and the quantum spin Hall effect. A picture of a…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 Bing-Lan Wu , Ai-Min Guo , Zhi-Qiang Zhang , Hua Jiang

Topological phases of matter are classified based on symmetries, with nonsymmorphic symmetries like glide reflections and screw rotations being of particular importance in the classification. In contrast to extensively studied glide…

Mesoscale and Nanoscale Physics · Physics 2024-04-29 Yu-Liang Tao , Mou Yan , Mian Peng , Qiang Wei , Zhenxing Cui , Shengyuan A. Yang , Gang Chen , Yong Xu

The ground state of the Hubbard model with nearest-neighbor hopping on the square lattice at half filling is known to be that of an antiferromagnetic (AFM) band insulator for any on-site repulsion. At finite temperature, the absence of…

Strongly Correlated Electrons · Physics 2020-02-04 Fedor Šimkovic , J. P. F. LeBlanc , Aaram J. Kim , Youjin Deng , N. V. Prokof'ev , B. V. Svistunov , Evgeny Kozik

Motivated by the recent discovery of a low temperature spin liquid phase in layered organic compound $\kappa$-(ET)$_2$Cu$_2$(CN)$_3$ which becomes a superconductor under pressure, we examine the phase transition of Mott insulating and…

Superconductivity · Physics 2007-05-23 J. Y. Gan , Yan Chen , F. C. Zhang

We show that scattering from the boundary of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of (time-periodic) Floquet topological insulators. We consider D-dimensional HOTIs with gapless corner…

Mesoscale and Nanoscale Physics · Physics 2021-06-30 Selma Franca , Fabian Hassler , Ion Cosma Fulga

Nontrivial band topology along with magnetism leads to different novel quantum phases. When time-reversal-symmetry is broken in three-dimensional topological insulators (TIs) by applying high enough magnetic field or proximity effect,…

Mesoscale and Nanoscale Physics · Physics 2023-09-11 Nezhat Pournaghavi , Banasree Sadhukhan , Anna Delin

We propose a general principle for constructing higher-order topological (HOT) phases. We argue that if a $D$-dimensional first-order or regular topological phase involves $m$ Hermitian matrices that anti-commute with additional $p-1$…

Mesoscale and Nanoscale Physics · Physics 2019-02-14 Dumitru Calugaru , Vladimir Juricic , Bitan Roy

Recently, the notion of topological phases of matter has been extended to higher-order incarnations, supporting gapless modes on even lower dimensional boundaries, such as corners and hinges. We here identify a collection of cubic spin-3/2…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Andras Szabo , Roderich Moessner , Bitan Roy

We investigate higher-order Weyl semimetals (HOWSMs) having bulk Weyl nodes attached to both surface and hinge Fermi arcs. We identify a new type of Weyl node, that we dub a $2nd$ order Weyl node, that can be identified as a transition in…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Sayed Ali Akbar Ghorashi , Tianhe Li , Taylor L. Hughes

We theoretically propose a second-order topological magnon insulator by stacking the van der Waals honeycomb ferromagnets with antiferromagnetic interlayer coupling. The system exhibits Z$_{2}$ topological phase, protected by…

Mesoscale and Nanoscale Physics · Physics 2022-08-03 Yun-Mei Li , Ya-Jie Wu , Xi-Wang Luo , Yongwei Huang , Kai Chang

We revisit the question of whether a two-dimensional topological insulator may arise in a commensurate N\'eel antiferromagnet, where staggered magnetization breaks both the elementary translation and time reversal, but retains their product…

Strongly Correlated Electrons · Physics 2016-04-07 Frédéric Bègue , Pierre Pujol , Revaz Ramazashvili