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Weyl semimetals are phases of matter with gapless electronic excitations that are protected by topology and symmetry. Their properties depend on the dimensions of the systems. It has been theoretically demonstrated that five-dimensional…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Xingen Zheng , Tian Chen , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

We discover three-dimensional intertwined Weyl phases, by developing a theory to create topological phases. The theory is based on intertwining existing topological gapped and gapless phases protected by the same crystalline symmetry. The…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 W. B. Rui , Zhen Zheng , Moritz M. Hirschmann , Song-Bo Zhang , Chenjie Wang , Z. D. Wang

For first-order topological semimetals, non-Hermitian perturbations can drive the Weyl nodes into Weyl exceptional rings having multiple topological structures and no Hermitian counterparts. Recently, it was discovered that higher-order…

Mesoscale and Nanoscale Physics · Physics 2021-11-11 Tao Liu , James Jun He , Zhongmin Yang , Franco Nori

The notion of higher-order topological insulators has endowed materials with topological states beyond the first order. Particularly, a three-dimensional (3D) higher-order topological insulator can host topologically protected 1D hinge…

Mesoscale and Nanoscale Physics · Physics 2021-02-16 Qiang Wei , Xuewei Zhang , Weiyin Deng , Jiuyang Lu , Xueqin Huang , Mou Yan , Gang Chen , Zhengyou Liu , Suotang Jia

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

Insulating states can be topologically nontrivial, a well-established notion that is exemplified by the quantum Hall effect and topological insulators. By contrast, topological metals have not been experimentally evidenced until recently.…

Strongly Correlated Electrons · Physics 2018-01-09 Hsin-Hua Lai , Sarah E. Grefe , Silke Paschen , Qimiao Si

Topological insulators (TIs) and Weyl semimetals (WSMs) are two realizations of topological matter usually appearing separately in nature. However, they are directly related to each other via a topological phase transition. In this paper,…

Mesoscale and Nanoscale Physics · Physics 2017-03-06 Stefan Juergens , Björn Trauzettel

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

We employed the self-consistent method on a two-orbital type-II time-reversal-symmetric Weyl semimetal, revealing a hybrid pairing of singlet $s$-wave and triplet $p$-wave. We present a detailed analysis of the normal-state electronic…

Superconductivity · Physics 2026-03-02 Junkang Huang , Z. D. Wang , Tao Zhou

We propose a theoretical scheme to realize two-dimensional higher-order Weyl semimetals using a trilayer topological insulator film coupled with a d-wave altermagnet. Our results show that the trilayer topological insulator exhibits…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Lizhou Liu , Qing-Feng Sun , Ying-Tao Zhang

Systems with strong spin-orbit coupling, which competes with other interactions and energy scales, offer a fertile playground to explore new correlated phases of matter. Weyl semimetals are an example where the phenomenon leads to a low…

Strongly Correlated Electrons · Physics 2013-05-13 Huazhou Wei , Sung-Po Chao , Vivek Aji

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…

In this work, we propose a ferromagnetic Bi$_2$Se$_3$ as a candidate to hold the coexistence of Weyl- and nodal-line semimetal phases, which breaks the time reversal symmetry. We demonstrate that the type-I Weyl semimetal phase, type-I-,…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 M. N. Chen , W. C. Chen , Yu Zhou

Topological semimetals are three dimensional materials with symmetry-protected massless bulk excitations. As a special case, Weyl nodal-line semimetals are realized in materials either having no inversion or broken time-reversal symmetry…

Three-dimensional Weyl fermions are found to emerge from simple cubic lattices with staggered fluxes. The mechanism is to gap the quadratic band touching by time-reversal-symmetry-breaking hoppings. The system exhibits rich phase diagrams…

Quantum Gases · Physics 2012-04-03 Jian-Hua Jiang

We find a series of topological phase transitions in a half-metal/superconductor heterostructure, by tuning the direction of the magnetization of the half-metal film. These include transitions between a topological superconducting phase…

Superconductivity · Physics 2016-10-18 Lei Hao , C. S. Ting

We propose a 3D topolectrical (TE) network that can be tuned to realize various higher-order topological gapless and chiral phases. We first study a higher-order Dirac semimetal phase that exhibits a hinge-like Fermi arc linking the Dirac…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 S. M. Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Mansoor B. A. Jalil

We construct a model for interacting electrons with strong spin orbit coupling in the pyrochlore iridates. We establish the importance of the direct hopping process between the Ir atoms and use the relative strength of the direct and…

Strongly Correlated Electrons · Physics 2012-02-02 William Witczak-Krempa , Yong Baek Kim

In ultra-thin film of topological insulator, the hybridization between the top and bottom surfaces opens an energy gap and forms two degenerate quantum anomalous Hall states, which give rise to a quantum spin Hall state. In this paper, we…

Strongly Correlated Electrons · Physics 2016-05-10 S. A. Owerre

Topological heavy-fermion systems in three dimensions are usually classified as topological insulators or semimetals. Here, we theoretically predict a different type of heavy-fermion system (dubbed exceptional heavy-fermion semimetal) by…

Strongly Correlated Electrons · Physics 2023-02-01 Yu-Liang Tao , Tao Qin , Yong Xu
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