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The electronic band structure of iron pnictides exhibits four Dirac cones, which are due to crystal symmetry and orbital bonding orientation. This hallmark signature presents the pnictide family as an ideal candidate in the search for…

介观与纳米尺度物理 · 物理学 2015-03-24 Yuan-Yen Tai , Cheng-Ching Joseph Wang , Matthias J. Graf , Jian-Xin Zhu , C. S. Ting

In higher-order topological insulators, bulk and surface electronic states are gapped, while there appear gapless hinge states protected by spatial symmetry. Here we show by ab initio calculations that the La apatite electride is a…

材料科学 · 物理学 2020-11-04 Motoaki Hirayama , Ryo Takahashi , Satoru Matsuishi , Hideo Hosono , Shuichi Murakami

We study positions of chiral hinge states in higher-order topological insulators (HOTIs) with inversion symmetry. First, we exhaust all possible configurations of the hinge states in the HOTIs in all type-I magnetic space groups with…

介观与纳米尺度物理 · 物理学 2020-11-24 Yutaro Tanaka , Ryo Takahashi , Tiantian Zhang , Shuichi Murakami

Using a systematic relation between topological gapless phases in three dimensions and topological gapped phases in two dimensions, we identify four types of higher-order topological semimetals or nodal superconductors (HOTS), hosting (i)…

介观与纳米尺度物理 · 物理学 2022-07-07 Sophia Simon , Max Geier , Piet W. Brouwer

Topological crystalline insulators are new states of matter in which the topological nature of electronic structures arises from crystal symmetries. Here we predict the first material realization of topological crystalline insulator in the…

材料科学 · 物理学 2012-08-01 Timothy H. Hsieh , Hsin Lin , Junwei Liu , Wenhui Duan , Arun Bansil , Liang Fu

We study the electronic surface states of the semiconducting alloy BiSb. Using a phenomenological tight binding model we show that the Fermi surface of the 111 surface states encloses an odd number of time reversal invariant momenta (TRIM)…

介观与纳米尺度物理 · 物理学 2009-11-13 Jeffrey C. Y. Teo , Liang Fu , C. L. Kane

We propose searching for Chern insulators by depositing atomic layers of elements with large spin-orbit coupling (e.g., Bi) on the surface of a magnetic insulator. We argue that such systems will typically have isolated surface bands with…

材料科学 · 物理学 2013-04-16 Kevin F. Garrity , David Vanderbilt

In this work, we revisit the model of PbTe presented in [E. Fradkin, E. Dagotto, and D. Boyanovsky, Phys. Rev. Lett. 57, 2967 (1986)]. We show that the low energy theory of this model corresponds to a (higher-order) topological crystalline…

介观与纳米尺度物理 · 物理学 2019-04-10 Iñigo Robredo , Maia G. Vergniory , Barry Bradlyn

Higher-order topological insulators have attracted considerable interests as a novel topological phase of matter, where topologically non-trivial nature of bulk protects boundary states whose co-dimension is larger than one. It has been…

介观与纳米尺度物理 · 物理学 2019-09-23 Tomonari Mizoguchi , Hiromu Araki , Yasuhiro Hatsugai

A Z2 topological insulator protected by time-reversal symmetry is realized via spin-orbit interaction driven band inversion. For example, the topological phase in the Bi-Sb system is due to an odd number of band inversions. A related…

The topology of electronic states in band insulators with mirror symmetry can be classified in two different ways. One is in terms of the mirror Chern number, an integer that counts the number of protected Dirac cones in the Brillouin zone…

介观与纳米尺度物理 · 物理学 2021-05-10 Tomáš Rauch , Thomas Olsen , David Vanderbilt , Ivo Souza

The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the $d$-dimension insulating bulk is confined to ($d-1$)-dimensions, led to several potential applications. Recently, it…

Topological insulators are a novel state of matter that share a common feature: their spectral bands are associated with a nonlocal integer-valued index, commonly manifesting through quantized bulk phenomena and robust boundary effects. In…

介观与纳米尺度物理 · 物理学 2020-07-01 Ioannis Petrides , Oded Zilberberg

Higher-order topological insulators are a recently discovered class of materials that can possess zero-dimensional localized states regardless of the dimension of the lattice. Here, we experimentally demonstrate that the topological…

While topological phases have been extensively studied in amorphous systems in recent years, it remains unclear whether the random nature of amorphous materials can give rise to higher-order topological phases that have no crystalline…

无序系统与神经网络 · 物理学 2023-11-15 Yu-Liang Tao , Jiong-Hao Wang , Yong Xu

Higher-order topological phases have raised widespread interest in recent years with the occurrence of the topological boundary states of dimension two or more less than that of the system bulk. The higher-order topological states have been…

介观与纳米尺度物理 · 物理学 2023-03-21 Zhenhang Pu , Hailong He , Licheng Luo , Qiyun Ma , Liping Ye , Manzhu Ke , Zhengyou Liu

Topological crystalline insulators (TCI) are new topological phases of matter protected by crystal symmetry of solids. Recently, the first realization of TCI has been predicted and observed in IV-VI semiconductor SnTe and related alloys…

材料科学 · 物理学 2013-12-18 Junwei Liu , Wenhui Duan , Liang Fu

We study non-interacting electrons in disordered one-dimensional materials which exhibit a spectral gap, in each of the ten Altland-Zirnbauer symmetry classes. We define an appropriate topology on the space of Hamiltonians so that the…

数学物理 · 物理学 2023-07-04 Jui-Hui Chung , Jacob Shapiro

Exploring novel topological matters with exotic quantum states has always been a core issue in the field of condensed matter physics, which can update the understanding of topological phases and broaden the classification of topological…

介观与纳米尺度物理 · 物理学 2025-12-09 Wei Jia , Yuping Tian , Huanhuan Yang , Xiangru Kong , Zhi-Hao Huang , Wei-Jiang Gong , Jun-Hong An

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…

介观与纳米尺度物理 · 物理学 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