Results 81 to 90 of about 1,113,526 (309)

Itsy Bitsy Topological Field Theory [PDF]

Annales Henri Poincaré, 2013
We construct an elementary, combinatorial kind of topological quantum field theory, based on curves, surfaces, and orientations. The construction derives from contact invariants in sutured Floer homology and is essentially an elaboration of a TQFT defined by Honda--Kazez--Matic.
openaire   +2 more sources

Emergent Spin‐Glass Behavior in an Iron(II)‐Based Metal–Organic Framework Glass

Advanced Functional Materials, EarlyView.
A one‐pot, solvent‐free synthesis yields an Fe2+‐based metal‐organic framework (MOF) glass featuring a continuous random network structure. The material exhibits spin‐glass freezing at 14 K, driven by topological‐disorder and short‐range magnetic frustration, showcasing the potential of MOF glasses as a plattform for cooperative magnetic phenomena in ...
Chinmoy Das, Soma Salamon, Joachim Landers, Jan‐Benedikt Weiß, Wen‐Long Xue, Pascal Kolodzeiski, Roman Pallach, Heiko Wende, Sebastian Henke   +8 more
wiley   +1 more source

Symmetry protected topological phases and generalized cohomology

Journal of High Energy Physics, 2019
We discuss the classification of SPT phases in condensed matter systems. We review Kitaev’s argument that SPT phases are classified by a generalized cohomology theory, valued in the spectrum of gapped physical systems [20, 23].
Davide Gaiotto, Theo Johnson-Freyd
doaj   +1 more source

The Physics Inside Topological Quantum Field Theories [PDF]

, 1995
We show that the equations of motion defined over a specific field space are realizable as operator conditions in the physical sector of a generalized Floer theory defined over that field space.
Brooks R, Floer A, Floer A, Geroch R, Melvin P, Roger Brooks, Segal G, Witten E   +7 more
core   +3 more sources

Predicting Atomic Charges in MOFs by Topological Charge Equilibration

Advanced Functional Materials, EarlyView.
An atomic charge prediction method is presented that is able to accurately reproduce ab‐initio‐derived reference charges for a large number of metal–organic frameworks. Based on a topological charge equilibration scheme, static charges that fulfill overall neutrality are quickly generated.
Babak Farhadi Jahromi, Sumukh Shankar Sharadaprasad, Rochus Schmid   +2 more
wiley   +1 more source

On Two-Dimensional Closed–Open Topological Field Theories

Axioms
Topological field theories (TFTs) have captured the attention of mathematicians due to their various applications. In categorical terms, an nTFT is defined as a monoidal functor that maps the category of n-dimensional cobordisms to the category of vector
Mohmmad Zailai
doaj   +1 more source

Positive topological quantum field theories [PDF]

Quantum Topology, 2015
We propose a new notion of positivity for topological field theories (TFTs), based on S. Eilenberg’s concept of completeness for semirings. We show that a complete ground semiring, a system of fields on manifolds and a system of action functionals on these fields determine a positive TFT.
openaire   +3 more sources

Stacking‐Engineered Magnonic Topology and Transport in Honeycomb Homobilayers

Advanced Functional Materials, EarlyView.
ABSTRACT Topological magnons have emerged as a promising platform for dissipationless bosonic transport. However, a straightforward and effective strategy to engineer such topological states in real materials has yet to be fully realized. Here, a general scheme for controlling magnonic topological states via stacking engineering in van der Waals ...
Xiaoran Feng, Yingxi Bai, Bo Yuan, Ying Dai, Baibiao Huang, Chengwang Niu, Xiaotian Wang   +6 more
wiley   +1 more source

Classification and construction of unitary topological field theories in two dimensions [PDF]

, 1993
It is proven that unitary two‐dimensional topological field theories are uniquely characterized by n positive real numbers λ1,...,λn, which can be regarded as the eigenvalues of a Hermitian handle creation operator.
B. Durhuus, T. Jonsson
semanticscholar   +1 more source

Bio‐Inspired Molecular Events in Poly(Ionic Liquids)

Advanced Functional Materials, EarlyView.
Originating from dipolar and polar inter‐ and intra‐chain interactions of the building blocks, the topologies and morphologies of poly(ionic liquids) (PIL) govern their nano‐ and micro‐processibility. Modulating the interactions of cation‐anion pairs with aliphatic dipolar components enables the tunability of properties, facilitated by “bottom‐up ...
Jiahui Liu, Marek W. Urban
wiley   +1 more source