標(biāo)題: Titlebook: Bulk and Boundary Invariants for Complex Topological Insulators; From K-Theory to Phy Emil Prodan,Hermann Schulz-Baldes Book 2016 Springer [打印本頁] 作者: antithetic 時(shí)間: 2025-3-21 18:30
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作者: calumniate 時(shí)間: 2025-3-21 22:18 作者: jeopardize 時(shí)間: 2025-3-22 00:36 作者: 心痛 時(shí)間: 2025-3-22 05:25
Illustration of Key Concepts in Dimension ,, model [205] of a conducting polymer. This model has a chiral symmetry and non-trivial topology, given by a non-commutative winding number which is remarkably stable against perturbations like a random potential [139]. Hence this is a relatively simple example of a topological insulator. Here the fo作者: 窗簾等 時(shí)間: 2025-3-22 08:53 作者: 使困惑 時(shí)間: 2025-3-22 14:13
Observables Algebras for Solid State Systems, physical models for topological insulators presented in Chap.?.. Then the exact sequence connecting these algebras is discussed. In particular, it is shown to be isomorphic to the Pimsner-Voiculescu exact sequence. This chapter also introduces the non-commutative analysis tools and the smooth sub-a作者: 取回 時(shí)間: 2025-3-22 18:49 作者: Allure 時(shí)間: 2025-3-22 22:08
The Topological Invariants and Their Interrelations,iants. The discussion is then specialized to the algebras of physical observables. The strong and the weak topological invariants, for both bulk and boundary, are defined as pairings of specific cyclic cocycles with the elements of the .-groups encoding the topology of the solid state systems. The d作者: 助記 時(shí)間: 2025-3-23 04:55
Index Theorems for Solid State Systems,ke integer values in general. In this chapter index theorems are proved for these strong invariants which allow to extend this integrality to the regime with mobility gap. For this purpose it is first shown how cyclic cocycles obtained from Fredholm modules pair integrally with .-theory. When co作者: 個(gè)阿姨勾引你 時(shí)間: 2025-3-23 06:38
Invariants as Measurable Quantities,ants are connected to linear and nonlinear transport coefficients and the expected physical effects are discussed in depth for class A and class AIII of topological insulators, in several space dimensions. Then we follow with an in depth analysis of orbital polarization and magneto-electric effects,作者: Subdue 時(shí)間: 2025-3-23 10:04
The Topological Invariants and Their Interrelations,uality of the pairings with respect to the connecting maps is proved and the equality between the bulk and boundary invariants is established. Lastly, generalized Streda formulas are derived and used to determine the range of the topological invariants.作者: 瑪瑙 時(shí)間: 2025-3-23 15:55
Index Theorems for Solid State Systems,mbined with a local index formula , this allows to prove the integrality of the strong topological invariants and to establish their stability under MBGH. Furthermore, the delocalized nature of surface states is proved for non-trivial topological insulators.作者: Herbivorous 時(shí)間: 2025-3-23 21:34 作者: coagulation 時(shí)間: 2025-3-24 02:01 作者: 太空 時(shí)間: 2025-3-24 02:59 作者: indigenous 時(shí)間: 2025-3-24 06:50 作者: HARP 時(shí)間: 2025-3-24 13:47
,-Theory for Topological Solid State Systems,ized to the observable algebras defined in Chap.?.. Using the Pimsner-Voiculescu sequence, this allows to present the generators of the .-groups in detail. In the third part, various connecting maps for solid state systems are computed explicitly.作者: ACTIN 時(shí)間: 2025-3-24 15:51 作者: Deference 時(shí)間: 2025-3-24 21:54 作者: 多產(chǎn)子 時(shí)間: 2025-3-24 23:19 作者: Meditative 時(shí)間: 2025-3-25 06:44 作者: Pcos971 時(shí)間: 2025-3-25 11:01
Anwendungen der Differentialrechnunguality of the pairings with respect to the connecting maps is proved and the equality between the bulk and boundary invariants is established. Lastly, generalized Streda formulas are derived and used to determine the range of the topological invariants.作者: CAGE 時(shí)間: 2025-3-25 14:16
Mathematik für Wirtschaftswissenschaftlermbined with a local index formula , this allows to prove the integrality of the strong topological invariants and to establish their stability under MBGH. Furthermore, the delocalized nature of surface states is proved for non-trivial topological insulators.作者: 譏笑 時(shí)間: 2025-3-25 16:28
https://doi.org/10.1007/978-3-642-96946-1 and virtual topological insulators are taken up as a more recent development. As a further novel implication, it is shown that the surface states of approximately chiral systems may exhibit a quantum Hall effect with a Hall conductance imposed by the bulk invariants.作者: incisive 時(shí)間: 2025-3-25 23:53
https://doi.org/10.1007/978-3-319-29351-6quantum spin-Hall insulator; bulk-boundary correspondence; topological solid state systems; topological作者: PAN 時(shí)間: 2025-3-26 03:20
978-3-319-80550-4Springer International Publishing Switzerland 2016作者: 突襲 時(shí)間: 2025-3-26 08:00
Emil Prodan,Hermann Schulz-BaldesOffers a complete and detailed description of the state of the.art in the field from a mathematics point of view.Contains many original contributions such as the generalized Streda formula, the ranges作者: 皺痕 時(shí)間: 2025-3-26 09:27 作者: lavish 時(shí)間: 2025-3-26 12:51
Observables Algebras for Solid State Systems, physical models for topological insulators presented in Chap.?.. Then the exact sequence connecting these algebras is discussed. In particular, it is shown to be isomorphic to the Pimsner-Voiculescu exact sequence. This chapter also introduces the non-commutative analysis tools and the smooth sub-algebras to be used in the remainder of the book.作者: 表狀態(tài) 時(shí)間: 2025-3-26 19:26 作者: AER 時(shí)間: 2025-3-26 23:41 作者: 刀鋒 時(shí)間: 2025-3-27 02:16 作者: antiquated 時(shí)間: 2025-3-27 09:04 作者: BLINK 時(shí)間: 2025-3-27 12:47
Mathematik für Wirtschaftswissenschaftler physical models for topological insulators presented in Chap.?.. Then the exact sequence connecting these algebras is discussed. In particular, it is shown to be isomorphic to the Pimsner-Voiculescu exact sequence. This chapter also introduces the non-commutative analysis tools and the smooth sub-a作者: 并置 時(shí)間: 2025-3-27 15:38 作者: Mast-Cell 時(shí)間: 2025-3-27 21:49 作者: Halfhearted 時(shí)間: 2025-3-28 00:25 作者: cuticle 時(shí)間: 2025-3-28 04:29
https://doi.org/10.1007/978-3-642-96946-1ants are connected to linear and nonlinear transport coefficients and the expected physical effects are discussed in depth for class A and class AIII of topological insulators, in several space dimensions. Then we follow with an in depth analysis of orbital polarization and magneto-electric effects,作者: 演繹 時(shí)間: 2025-3-28 07:26
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