53 citations · 219 across the 20 of their papers we have counts for
23 papers
Linked Barcode for Persistence Induced by Filtrations
Tamal K. Dey, Gilberto Gonzalez-Arroyo, Tao Hou
The well-known persistence algorithm summarizes the evolution of homological cycles into what is called a \emph{barcode} while scanning an input simplicial filtration. We show that…
Computing Zigzag Vineyard Efficiently Including Expansions and Contractions
Tamal K. Dey, Tao Hou
Vines and vineyard connecting a stack of persistence diagrams have been introduced in the non-zigzag setting by Cohen-Steiner et al. We consider computing these vines over changing…
Revisiting Graph Persistence for Updates and Efficiency
Tamal K. Dey, Tao Hou, Salman Parsa
It is well known that ordinary persistence on graphs can be computed more efficiently than the general persistence. Recently, it has been shown that zigzag persistence on graphs al…
Vortex-induced Shear Polaritons
Shuwen Xue, Yali Zeng, Sicen Tao +4
Hyperbolic shear polaritons (HShPs) emerge with widespread attention as a new class of polariton modes with broken symmetry due to shear lattices. In this letter, we find a new mec…
Layer Zero-Line Modes in Antiferromagnetic Topological Insulators
Wenhao Liang, Tao Hou, Junjie Zeng +3
Recently, the magnetic domain walls have been experimentally observed in antiferromagnetic topological insulators MnBiTe, where we find that the topological zero-line modes…
Fast Computation of Zigzag Persistence
Tamal K. Dey, Tao Hou
Zigzag persistence is a powerful extension of the standard persistence which allows deletions of simplices besides insertions. However, computing zigzag persistence usually takes c…
Updating Barcodes and Representatives for Zigzag Persistence
Tamal K. Dey, Tao Hou
Computing persistence over changing filtrations give rise to a stack of 2D persistence diagrams where the birth-death points are connected by the so-called `vines'. We consider com…
On Association between Absolute and Relative Zigzag Persistence
Tamal K. Dey, Tao Hou
Duality results connecting persistence modules for absolute and relative homology provides a fundamental understanding into persistence theory. In this paper, we study similar asso…
Computing Optimal Persistent Cycles for Levelset Zigzag on Manifold-like Complexes
Tamal K. Dey, Tao Hou, Anirudh Pulavarthy
In standard persistent homology, a persistent cycle born and dying with a persistence interval (bar) associates the bar with a concrete topological representative, which provides m…
Physical Origin of Current Partition at a Topological Trifurcation
Sanyi You, Tao Hou, Zhenhua Qiao
In gated bilayer graphene, topological zero-line modes (ZLMs) appear along lines separating regions with opposite valley Hall topologies. Although it is experimentally difficult to…
Topological Filtering for 3D Microstructure Segmentation
Anand V. Patel, Tao Hou, Juan D. Beltran Rodriguez +2
Tomography is a widely used tool for analyzing microstructures in three dimensions (3D). The analysis, however, faces difficulty because the constituent materials produce similar g…
Computing Zigzag Persistence on Graphs in Near-Linear Time
Tamal K. Dey, Tao Hou
Graphs model real-world circumstances in many applications where they may constantly change to capture the dynamic behavior of the phenomena. Topological persistence which provides…
Valley-Current Splitter in Minimally Twisted Bilayer Graphene
Tao Hou, Yafei Ren, Yujie Quan +3
We study the electronic transport properties at the intersection of three topological zero-lines as the elementary current partition node that arises in minimally twisted bilayer g…
Approaching Three-Dimensional Quantum Hall effect in Bulk HfTe5
Pang Wang, Yafei Ren, Fangdong Tang +5
The discovery of quantum Hall effect in two-dimensional (2D) electronic systems inspired the topological classifications of electronic systems1,2. By stacking 2D quantum Hall effec…
Finite-Size Effects in the Dynamic Conductivity and Faraday Effect of Quantum Anomalous Hall Insulators
Junjie Zeng, Tao Hou, Zhenhua Qiao +1
We theoretically study the finite-size effects in the dynamical response of a quantum anomalous Hall insulator in the disk geometry. Semi-analytic and numerical results are obtaine…
Quantum Anomalous Hall Effect by Coupling Heavy Atomic Layers with CrI
Majeed Ur Rehman, Xinlong Dong, Tao Hou +3
We explored the possibility of realizing quantum anomalous Hall effect by placing heavy-element atomic layer on top of monolayer CrI with a natural cleavage surface and broke…
Nonmagnetic-Doping Induced Quantum Anomalous Hall Effect in Topological Insulators
Shifei Qi, Ruiling Gao, Maozhi Chang +3
Quantum anomalous Hall effect (QAHE) has been experimentally observed in magnetically doped topological insulators. However, ultra-low temperature (usually below 300 mK), which is…
Computing Minimal Persistent Cycles: Polynomial and Hard Cases
Tamal K. Dey, Tao Hou, Sayan Mandal
Persistent cycles, especially the minimal ones, are useful geometric features functioning as augmentations for the intervals in a purely topological persistence diagram (also terme…
Pressure-Induced Modification of Anomalous Hall Effect in Layered FeGeTe
Xiangqi Wang, Zeyu Li, Min Zhang +11
We systematically investigate the influence of high pressure on the electronic transport properties of layered ferromagnetic materials, in particular, those of FeGeTe. Its…
Metallic Network of Topological Domain Walls
Tao Hou, Yafei Ren, Yujie Quan +3
We study the electronic and transport properties of a network of domain walls between insulating domains with opposite valley Chern numbers. We find that the network is semi-metall…
Persistent 1-Cycles: Definition, Computation, and Its Application
Tamal K. Dey, Tao Hou, Sayan Mandal
Persistence diagrams, which summarize the birth and death of homological features extracted from data, are employed as stable signatures for applications in image analysis and othe…
Topological Zero-Line Modes in Folded Bilayer Graphene
Tao Hou, Guanghui Chen, Wang-Kong Tse +2
We theoretically investigate a folded bilayer graphene structure as an experimentally realizable platform to produce the one-dimensional topological zero-line modes. We demonstrate…
Enhanced Robustness of Zero-line Modes in Graphene via a Magnetic Field
Ke Wang, Tao Hou, Yafei Ren +1
Motivated by recent experimental results for zero-line modes (ZLMs) in a bilayer graphene system [Nature Nanotechnol. 11, 1060 (2016)], we systematically studied the influence of a…