Results 1 to 10 of about 197,645 (46)
Space, matter and topology [PDF]
Nature Physics 12, 616 (2016), 2016 An old branch of mathematics, Topology, has opened the road to the discovery of new phases of matter. A hidden topology in the energy spectrum is the key for novel conducting/insulating properties of topological matter.
arxiv +1 more source
Brandt extensions and primitive topological inverse semigroups [PDF]
Published in: International Journal of Mathematics and
Mathematical Sciences 2010 (2010) Article ID 671401, 13 pages, 2010 In the paper we study (countably) compact and (absolutely) $H$-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological inverse semigroup embeds into a compact primitive topological inverse semigroup.
arxiv +1 more source
, 2005 The phenomenon of quantum number fractionalization is explained. The relevance of non-trivial phonon field topology is emphasized.
arxiv +1 more source
We review the differential topology underlying the topological protection of energy band crossings in Weyl semimetals, and how they lead to the experimental signature of surface Fermi arcs.
arxiv +1 more source
A simple topological quantum field theory for manifolds with triangulated boundary [PDF]
arXiv, 2009 We construct a simple finite-dimensional topological quantum field theory for compact 3-manifolds with triangulated boundary.
arxiv
Topological Aspects of Gauge Theories [PDF]
arXiv, 2005 To appear in Encyclopedia of Mathematical Physics, published by Elsevier in early 2006. Comments/corrections welcome. The article surveys topological aspects in gauge theories.
arxiv
Multiscale Invariants of Floquet Topological Insulators [PDF]
arXiv, 2021 This paper analyzes Floquet topological insulators resulting from the time-harmonic irradiation of electromagnetic waves on two dimensional materials such as graphene. We analyze the bulk and edge topologies of approximations to the evolution of the light-matter interaction. Topologically protected interface states are created by spatial modulations of
arxiv
Instantons: topological aspects [PDF]
Enclyclopedia of Mathematical Physics vol. 2 (2006) 44-50, 2005 Short survey to be published at the Encyclopedia of Mathematical Physics.
arxiv
The Stiefel--Whitney theory of topological insulators [PDF]
arXiv, 2016 We study the topological band theory of time reversal invariant topological insulators and interpret the topological $\mathbb{Z}_2$ invariant as an obstruction in terms of Stiefel--Whitney classes. The band structure of a topological insulator defines a Pfaffian line bundle over the momentum space, whose structure group can be reduced to $\mathbb{Z}_2$.
arxiv