A computational non-commutative geometry program for disordered topological insulators. (2017)

• Record Type: Book
• Further Information: Note: Emil Prodan.
• Authors: Prodan, Emil
• Contents: Preface; Contents; 1 Disordered Topological Insulators: A Brief Introduction; 1.1 Homogeneous Materials; 1.2 Homogeneous Disordered Crystals; 1.3 Classification of Homogenous Disordered Crystals; References; 2 Electron Dynamics: Concrete Physical Models; 2.1 Notations and Conventions; 2.2 Physical Models; 2.3 Disorder Regimes; 2.4 Topological Invariants; References; 3 Non-commutative Brillouin Torus; 3.1 Disorder Configurations and Associated Dynamical Systems; 3.2 Algebra of Covariant Physical Observables; 3.3 Fourier Calculus; 3.4 Differential Calculus; 3.5 Smooth Sub-algebra. 3.6 Sobolev Spaces3.7 Magnetic Derivations; 3.8 Physics Formulas; References; 4 Auxiliary Cast-Algebras; 4.1 Periodic Disorder Configurations; 4.2 Periodic Approximating Algebra; 4.3 Finite-Volume Disorder Configurations; 4.4 Finite-Volume Approximating Algebra; 4.5 Approximate Differential Calculus; 4.6 Bloch Algebras; References; 5 Canonical Finite-Volume Algorithms; 5.1 General Picture; 5.2 Explicit Computer Implementation; References; 6 Error Bounds for Smooth Correlations; 6.1 Assumptions; 6.2 First Round of Approximations; 6.3 Second Round of Approximations; 6.4 Overall Error Bounds.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 512/.55; Physics; Noncommutative algebras; Mathematical physics; MATHEMATICS -- Algebra -- Intermediate; Mathematical physics; Noncommutative algebras; Physics; Mathematical Methods in Physics; Mathematical Physics; Condensed Matter Physics; K-Theory; Functional Analysis; Science -- Mathematical Physics; Science -- Solid State Physics; Mathematics -- Algebra -- Abstract; Mathematics -- Functional Analysis; Mathematical physics; Materials / States of matter; Algebraic topology; Functional analysis & transforms; Functional analysis; Electronic books
• Languages: English
• ISBNs: 9783319550237; 3319550233
• Related ISBNs: 9783319550220; 3319550225
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed March 28, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.