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Symmetry indicators have proven to be extremely helpful in identifying topologically non-trivial crystalline insulators using symmetry-group representations of their Bloch states. An extension of this approach to superconducting systems…

Superconductivity · Physics 2020-01-29 Anastasiia Skurativska , Titus Neupert , Mark H Fischer

The combination of magnetism and topological properties in one material platform is attracting significant attention due to the potential of realizing low power consumption and error-robust electronic devices. Common practice is to start…

Topological crystalline insulators (TCI) possess electronic states protected by crystal symmetries, rather than time-reversal symmetry. We show that the transition metal oxides with heavy transition metals are able to support nontrivial…

Strongly Correlated Electrons · Physics 2015-06-12 Mehdi Kargarian , Gregory A. Fiete

The rich variety of crystalline symmetries in solids leads to a plethora of topological crystalline insulators (TCIs) featuring distinct physical properties, which are conventionally understood in terms of bulk invariants specialized to the…

Strongly Correlated Electrons · Physics 2018-09-19 Eslam Khalaf , Hoi Chun Po , Ashvin Vishwanath , Haruki Watanabe

While the topological classification of insulators, semimetals, and superconductors in terms of nonspatial symmetries is well understood, less is known about topological states protected by crystalline symmetries, such as mirror reflections…

Mesoscale and Nanoscale Physics · Physics 2014-12-01 Ching-Kai Chiu , Andreas P. Schnyder

Topological mechanical metamaterials translate condensed matter phenomena, like non-reciprocity and robustness to defects, into classical platforms. At small scales, topological nanoelectromechanical metamaterials (NEMM) can enable the…

Applied Physics · Physics 2019-03-06 Jinwoong Cha , Kun Woo Kim , Chiara Daraio

In this paper we focus on the interplay between geometry defects and topological properties in bosonic symmetry protected topological(SPT) phases. We start from eight copies of 3D time-reversal($\mathcal{T}$) invariant topological…

Strongly Correlated Electrons · Physics 2016-06-22 Yizhi You , Yi-Zhuang You

Electronic structures of Ge$_{1-x}$Sn$_{x}$ alloys (0 $\leq$ $x$ $\leq$ 1) are theoretically studied by nonlocal empirical pseudopotential method. For relaxed Ge$_{1-x}$Sn$_{x}$, a topological semimetal is found for $\textit x$ $>$ 41$\%$…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 H. -S. Lan , S. T. Chang , C. W. Liu

We study solutions of $2 \times 2$ systems $(h D_t + \mathcal{D}) \Psi_t = 0$ on $\mathbb{R}^2$ in the semiclassical regime $h \rightarrow 0$. Our Dirac operator $\mathcal{D}$ is a standard model for interfaces between topological…

Mathematical Physics · Physics 2022-06-17 Alexis Drouot

We demonstrate theoretically the coexistence of Dirac semimetal and topological insulator phases in InSb/$\alpha$-Sn conventional semiconductor superlattices, based on advanced first-principles calculations combined with low-energy $k\cdot…

Materials Science · Physics 2016-07-18 Jian-Peng Sun , Jia-ji Zhu , Dong Zhang , Kai Chang

Trions, charged quasiparticles formed by binding an exciton to an excess charge carrier, dominate the optical response of doped transition metal dichalcogenides (TMDs), and the study of the transport properties of trions in TMDs may have…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Yichen Chu , Qizhong Zhu

In investigating the topological electronic structures of monolayer $\alpha$-phase group V elements, we uncover a new topological phase, which is invisible in the symmetry-based topological quantum chemistry (TQC) as well as symmetry…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Baokai Wang , Xiaoting Zhou , Yen-Chuan Lin , Hsin Lin , Arun Bansil

We theoretically propose that hexagonal silicon-based crystals, $P6/m$-Si$_6$ and $P6/m$-NaSi$_6$, are topological Dirac semimetals with superconducting critical temperatures of 12 K and 13 K, respectively, at ambient pressure. Band…

Superconductivity · Physics 2023-04-06 Alex Takyung Lee , Kyungwha Park , In-Ho Lee

The interstitial oxygen centers in silicon and germanium are reconsidered and compared in an analysis based on the first-principles total-energy determination of the potential-energy surface of the centers, and a calculation of their…

Condensed Matter · Physics 2007-05-23 Emilio Artacho , Felix Yndurain

Topologically trivial insulators can be classified into atomic insulators (AIs) and obstructed atomic insulators (OAIs) depending on whether the Wannier charge centers are localized or not at spatial positions occupied by atoms. An OAI can…

We predict topological electron crystals driven by the interplay of interlayer Coulomb attraction and topological miniband physics in bilayer graphene--Mott insulator heterostructures. Charge transfer creates a charge neutral, mass…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Wangqian Miao , Tianyu Qiao , Xue-Yang Song , Yinghai Xu , Yiwei Chen , Lei Wang , Xi Dai

Large-gap quantum spin Hall insulators are promising materials for room-temperature applications based on Dirac fermions. Key to engineer the topologically non-trivial band ordering and sizable band gaps is strong spin-orbit interaction.…

We present a comprehensive study of the band alignments of two-dimensional (2D) semiconducting materials and highlight the possibilities of forming momentum-matched type I, II and III heterojunctions; an enticing possibility being atomic…

Materials Science · Physics 2016-07-13 V. Ongun Özçelik , Javad G. Azadani , Ce Yang , Steven J. Koester , Tony Low

We present microscopic Hamiltonians that gap the Dirac fermions on the surface of topological crystalline insulators (TCIs) protected by reflection symmetry and create symmetry-preserving states with Abelian topological orders. For TCIs…

Strongly Correlated Electrons · Physics 2017-07-11 Sungjoon Hong , Liang Fu

We propose to engineer time-reversal-invariant topological insulators in two-dimensional (2D) crystals of transition metal dichalcogenides (TMDCs). We note that, at low doping, semiconducting TMDCs under shear strain will develop…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 M. A. Cazalilla , H. Ochoa , F. Guinea
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