Designer non-Abelian fractons from topological layers
نویسندگان
چکیده
We formulate a construction of type-I fracton models based on gauging planar subsystem symmetries topologically ordered two-dimensional layers that have been stacked in three ambient spatial dimensions. Via our construction, any defect an Abelian symmetry group symmetry-enriched topological order can be promoted to fracton. This allows us construct supporting chiral boundaries and fractons noninteger quantum dimension. also find lineon model non-Abelian surface its boundary.
منابع مشابه
Designer non-Abelian anyon platforms: from Majorana to Fibonacci
The emergence of non-Abelian anyons from large collections of interacting elementary particles is a conceptually beautiful phenomenon with important ramifications for fault-tolerant quantum computing. Over the last few decades the field has evolved from a highly theoretical subject to an active experimental area, particularly following proposals for trapping non-Abelian anyons in ‘engineered’ s...
متن کاملFirst non-abelian cohomology of topological groups II
In this paper we introduce a new definition of the first non-abelian cohomology of topological groups. We relate the cohomology of a normal subgroup $N$ of a topological group $G$ and the quotient $G/N$ to the cohomology of $G$. We get the inflation-restriction exact sequence. Also, we obtain a seven-term exact cohomology sequence up to dimension 2. We give an interpretation of the first non-a...
متن کاملTopological entanglement in Abelian and non-Abelian excitation eigenstates.
Entanglement in topological phases of matter has so far been investigated through the perspective of their ground-state wave functions. In contrast, we demonstrate that the excitations of fractional quantum Hall (FQH) systems also contain information to identify the system's topological order. Entanglement spectrum of the FQH quasihole (QH) excitations is shown to differentiate between the conf...
متن کاملNon-Abelian Anyons and Topological Quantum Computation
Sankar Das Sarma, Michael Freedman, Chetan Nayak, Steven H. Simon, Ady Stern Department of Physics, University of Maryland, College Park, MD 20742 Microsoft Station Q, University of California, Santa Barbara, CA 93108 Department of Physics and Astronomy, University of California, Los Angeles, CA 90095-1547 Alcatel-Lucent, Bell Labs, 600 Mountain Avenue, Murray Hill, New Jersey 07974 Department ...
متن کاملTopological Aspects in Non - Abelian Gauge Theory
We discuss the BRST cohomology and exhibit a connection between the Hodge decomposition theorem and the topological properties of a two dimensional free non-Abelian gauge theory having no interaction with matter fields. The topological nature of this theory is encoded in the vanishing of the Laplacian operator when equations of motion are exploited. We obtain two sets of topological invariants ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review
سال: 2023
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physrevb.107.035103