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In crystalline systems with a superstructure, the electron dispersion can form a nontrivial covering of the Brillouin zone. It is proved that the number of sheets in this covering and its monodromy are topological invariants under ambient…

其他凝聚态物理 · 物理学 2026-04-30 Yu. B. Kudasov

The Euler class characterizes the topology of two real bands isolated from other bands in two-dimensions. Despite various intriguing topological properties predicted up to now, the candidate real materials hosting electronic Euler bands are…

介观与纳米尺度物理 · 物理学 2024-04-26 Seung Hun Lee , Yuting Qian , Bohm-Jung Yang

Symmetry and topology are two fundamental aspects of many quantum states of matter. Recently, new topological materials, higher-order topological insulators, were discovered, featuring, e.g., bulk-edge-corner correspondence that goes beyond…

Topology is now securely established as a means to explore and classify electronic states in crystalline solids. This review provides a gentle but firm introduction to topological electronic band structure suitable for new researchers in…

强关联电子 · 物理学 2023-09-28 Andrew T. Boothroyd

The interplay of BCS superconductivity and nontrivial band topology is expected to give rise to opportunities for creating topological superconductors, achieved through pairing spin-filtered boundary modes via superconducting proximity…

We show that moir\'e bands of twisted homobilayers can be topologically nontrivial, and illustrate the tendency by studying valence band states in $\pm K$ valleys of twisted bilayer transition metal dichalcogenides, in particular, bilayer…

介观与纳米尺度物理 · 物理学 2019-03-06 Fengcheng Wu , Timothy Lovorn , Emanuel Tutuc , Ivar Martin , A. H. MacDonald

Materials with ferroelectrically switchable topological properties are of interest for both fundamental physics and practical applications. Using first-principles calculations, we find that stacking ferroelectric $\alpha$-In$_2$Se$_3$…

材料科学 · 物理学 2024-02-29 Zhiqiang Tian , Ziming Zhu , Jiang Zeng , Chao-Fei Liu , Yurong Yang , Anlian Pan , Mingxing Chen

We develop a symmetry-based low-energy theory for monolayer $\mathrm{WTe}_2$ in its 1T$^{\prime}$ phase, which includes eight bands (four orbitals, two spins). This model reduces to the conventional four-band spin-degenerate Dirac model…

介观与纳米尺度物理 · 物理学 2022-04-08 S. Nandy , D. A. Pesin

The study of topology of energy bands in solid has always been interesting and fruitful. Historically, Thouless et al proposed the TKNN number or Chern number of the energy bands to explain the quantization of Hall conductance in the…

材料科学 · 物理学 2012-01-09 Yi-Dong Wu

Realization of tunable superconductivity with concomitant nontrivial band topology is conceptually intriguing and highly desirable for superconducting devices and topological quantum computation. Based on first-principles calculations, here…

超导电性 · 物理学 2023-08-16 Jianyong Chen , Ping Cui , Zhenyu Zhang

Existence of nontrivial topological phases in a tight binding Haldane-like model on the depleted Lieb lattice is reported. This two-band model is formulated by considering the nearest-neighbor, next-nearest-neighbor and…

介观与纳米尺度物理 · 物理学 2023-12-18 Arghya Sil , Asim Kumar Ghosh

Despite considerable interest in layered transition metal dichalcogenides (TMDs), such as MX2 with M = (Mo, W) and X = (S, Se, Te), the physical origin of their topological nature is still poorly understood. In the conventional view of…

介观与纳米尺度物理 · 物理学 2016-03-07 Duk-Hyun Choe , Ha-Jun Sung , Kee Joo Chang

Electromagnetic topological insulators have been explored extensively due to the robust edge states they support. In this work, we propose a topological electromagnetic system based on a line defect in topologically nontrivial photonic…

光学 · 物理学 2019-08-27 Menglin L. N. Chen , Li Jun Jiang , Zhihao Lan , Wei E. I. Sha

Elementary band representations are the fundamental building blocks of atomic limit band structures. They have the defining property that at partial filling they cannot be both gapped and trivial. Here, we give two examples -- one each in a…

介观与纳米尺度物理 · 物理学 2018-07-10 Jennifer Cano , Barry Bradlyn , Zhijun Wang , L. Elcoro , M. G. Vergniory , C. Felser , M. I. Aroyo , B. Andrei Bernevig

We predict a new family of two-dimensional (2D) rare earth monochalcogenide materials MX (M = Sc, Y; X = S, Se, Te). Based on first-principles calculations, we confirm their stability and systematically investigate their mechanical…

材料科学 · 物理学 2020-08-26 Hao Guo , Jianzhou Zhao , Cong Chen , Si Li , Wentao Jiang , Xiaobao Tian , Shengyuan A. Yang

Most two-dimensional (2D) materials experimentally studied so far have hexagons as their building blocks. Only a few exceptions, such as PdSe2, are lower in energy in pentagonal phases and exhibit pentagons as building blocks. While theory…

The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling…

介观与纳米尺度物理 · 物理学 2016-08-03 Arun Bansil , Hsin Lin , Tanmoy Das

Superconductivity in topological band structures is a platform for many novel exotic quantum phenomena such as emergent supersymmetry. This potential nourishes the search for topological materials with intrinsic superconducting…

We investigate a simplified continuum model of a twisted homotrilayer TMD with negligible next-nearest layer couplings. We systematically analyze band structure and topology of various stacking configurations in a twist angle range from…

介观与纳米尺度物理 · 物理学 2023-10-10 Hassan AlBuhairan , Michael Vogl

The search for topological insulators has been actively promoted in the field of condensed matter physics for further development in energy-efficient information transmission and processing. In this context, recent studies have revealed…