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20132026
most citedSymmetry-based Indicators of Band Topology in the 230 Space Groups

792 citations · 6.7k across the 69 of their papers we have counts for

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14 papers · 1 filter

cond-mat.mes-hall2026

Ising Dirac fermions across a topological phase transition

Aoqian Zhang, Yaqi Ma, Yifei Jin +14

Dirac fermions have attracted significant interest due to their relativistic dispersions and close connections to topological physics, yet they are generally expected to be gapped…

cond-mat.mes-hall2026

Moire driven edge reconstruction in Fractional quantum anomalous Hall states

Feng Liu, Hoi Chun Po, Xue-Yang Song

We investigate fractional edge modes in moire fractional quantum anomalous Hall states, focusing on the role of lattice momentum conservation and umklapp scattering. For the hierar…

cond-mat.mes-hall2023★ 17 cited

Visualizing the Localized Electrons of a Kagome Flat Band

Caiyun Chen, Jiangchang Zheng, Ruopeng Yu +4

Destructive interference between electron wavefunctions on the two-dimensional (2D) kagome lattice induces an electronic flat band, which could host a variety of interesting many-b…

cond-mat.mes-hall2022

Non-Abelian nonsymmorphic chiral symmetries

Yi Yang, Hoi Chun Po, Vincent Liu +3

The Hofstadter model exemplifies a large class of physical systems characterized by particles hopping on a lattice immersed in a gauge field. Recent advancements on various synthet…

cond-mat.mes-hall2021★ 83 cited

Higher-Order Nonlinear Anomalous Hall Effects Induced by Berry Curvature Multipoles

Cheng-Ping Zhang, Xue-Jian Gao, Ying-Ming Xie +2

In recent years, it has been shown that Berry curvature monopoles and dipoles play essential roles in the anomalous Hall effect and the nonlinear Hall effect respectively. In this…

cond-mat.mes-hall2020

Topological Invariants of a Filling-Enforced Quantum Band Insulator

Abijith Krishnan, Ashvin Vishwanath, Hoi Chun Po

Traditional ionic/covalent compound insulators arise from a commensuration between electron count and system volume. On the other hand, conventional topological insulators, outside…

cond-mat.mes-hall2020★ 67 cited

Symmetry indicators of band topology

Hoi Chun Po

Topological materials are quantum materials with nontrivial ground-state entanglement that are irremovable so long as certain rules, like invariance under symmetries and the existe…

cond-mat.mes-hall2019★ 6 cited

XFe4Ge2 (X = Y, Lu) and Mn3Pt: Filling-enforced magnetic topological metals

Di Wang, Feng Tang, Hoi Chun Po +2

Magnetism, coupled with nontrivial band topology, can bring about many interesting and exotic phenomena, so that magnetic topological materials have attracted persistent research i…

cond-mat.mes-hall2019★ 39 cited

Two-dimensional topological materials discovery by symmetry-indicator method

Di Wang, Feng Tang, Jialin Ji +4

Two-dimensional (2D) topological materials (TMs) have attracted tremendous attention due to the promise of revolutionary devices with non-dissipative electric or spin currents. Unf…

cond-mat.mes-hall2018★ 778 cited

Towards ideal topological materials: Comprehensive database searches using symmetry indicators

Feng Tang, Hoi Chun Po, Ashvin Vishwanath +1

Topological materials (TMs) showcase intriguing physical properties defying expectations based on conventional materials, and hold promise for the development of devices with new f…

cond-mat.mes-hall2018★ 61 cited

Topological Materials Discovery By Large-order symmetry indicators

Feng Tang, Hoi Chun Po, Ashvin Vishwanath +1

Crystalline symmetries play an important role in the classification of band structures, and the rich variety of spatial symmetries in solids leads to various topological crystallin…

cond-mat.mes-hall2018★ 206 cited

Efficient Topological Materials Discovery Using Symmetry Indicators

Feng Tang, Hoi Chun Po, Ashvin Vishwanath +1

Although the richness of spatial symmetries has led to a rapidly expanding inventory of possible topological crystalline (TC) phases of electrons, physical realizations have been s…

cond-mat.mes-hall2017★ 386 cited

Fragile Topology and Wannier Obstructions

Hoi Chun Po, Haruki Watanabe, Ashvin Vishwanath

Topological phases, such as Chern insulators, are defined in terms of additive indices that are stable against the addition of trivial degrees of freedom. Such topology presents an…

cond-mat.mes-hall2014★ 45 cited

Phonon analogue of topological nodal semimetals

Hoi Chun Po, Yasaman Bahri, Ashvin Vishwanath

Topological band structures in electronic systems like topological insulators and semimetals give rise to highly unusual physical properties. Analogous topological effects have als…