On the Classification of Topological Orders
Sign Up to like & getrecommendations! Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-022-04380-3
Abstract: We axiomatize the extended operators in topological orders (possibly gravitationally anomalous, possibly with degenerate ground states) in terms of monoidal Karoubi-complete $n$-categories which are mildly dualizable and have trivial centre. Dualizability encodes the word "topological,"… read more here.
Keywords: topological orders; classification topological;
Floquet amorphous topological orders in a one-dimensional Rydberg glass
Sign Up to like & getrecommendations! Published in 2024 at "Communications Physics"
DOI: 10.1038/s42005-025-02164-4
Abstract: The topological orders in amorphous systems that lack crystalline symmetry have gained considerable attention recently. Here we propose the Floquet amorphous topological matter, among which the topological orders are explored in experimentally accessible one-dimensional array… read more here.
Keywords: topological orders; rydberg; floquet amorphous; amorphous topological ... See more keywords
Electromagnetic response and emergent topological orders in transition metal dichalcogenide MoTe2 bilayers
Sign Up to like & getrecommendations! Published in 2025 at "Physical Review B"
DOI: 10.1103/3crp-gb3d
Abstract: Twisted bilayer transition metal dichalcogenides, such as MoTe$_2$, provide a versatile platform for exploring correlated topological phases. This work investigates the interplay of perpendicular magnetic and electric fields in tuning the electronic structure and emergent… read more here.
Keywords: transition metal; chern numbers; topological orders; emergent topological ... See more keywords
Three-dimensional fracton topological orders with boundary Toeplitz braiding
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review B"
DOI: 10.1103/physrevb.110.205108
Abstract: In this paper, we theoretically study a class of 3D non-liquid states that show exotic boundary phenomena in the thermodynamical limit. More concretely, we focus on a class of 3D fracton topological orders formed via… read more here.
Keywords: topological orders; boundary toeplitz; fracton topological; toeplitz braiding ... See more keywords
Experimental Identification of Non-Abelian Topological Orders on a Quantum Simulator.
Sign Up to like & getrecommendations! Published in 2017 at "Physical review letters"
DOI: 10.1103/physrevlett.118.080502
Abstract: Topological orders can be used as media for topological quantum computing-a promising quantum computation model due to its invulnerability against local errors. Conversely, a quantum simulator, often regarded as a quantum computing device for special… read more here.
Keywords: quantum simulator; topological orders; non abelian;