Bulk and boundary invariants for complex topological insulators [[electronic resource] ] : from K-theory to physics / / by Emil Prodan, Hermann Schulz-Baldes |
Autore | Prodan Emil |
Edizione | [1st ed. 2016.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
Descrizione fisica | 1 online resource (217 p.) |
Disciplina | 514.23 |
Collana | Mathematical Physics Studies |
Soggetto topico |
Physics
K-theory Mathematical physics Solid state physics Mathematical Methods in Physics K-Theory Mathematical Physics Solid State Physics |
ISBN | 3-319-29351-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Illustration of key concepts in dimension d = 1 -- Topological solid state systems: conjectures, experiments and models -- Observables algebras for solid state systems -- K-theory for topological solid state systems -- The topological invariants and their interrelations -- Index theorems for solid state systems -- Invariants as measurable quantities. |
Record Nr. | UNINA-9910254620103321 |
Prodan Emil
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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A computational non-commutative geometry program for disordered topological insulators [[electronic resource] /] / by Emil Prodan |
Autore | Prodan Emil |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (X, 118 p. 19 illus. in color.) |
Disciplina | 512.4 |
Collana | SpringerBriefs in Mathematical Physics |
Soggetto topico |
Physics
Mathematical physics Condensed matter K-theory Functional analysis Mathematical Methods in Physics Mathematical Physics Condensed Matter Physics K-Theory Functional Analysis |
ISBN | 3-319-55023-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Disordered Topological Insulators: A Brief Introduction -- Homogeneous Materials -- Homogeneous Disordered Crystals -- Classification of Homogenous Disordered Crystals -- Electron Dynamics: Concrete Physical Models -- Notations and Conventions -- Physical Models -- Disorder Regimes -- Topological Invariants -- The Non-Commutative Brillouin Torus -- Disorder Configurations and Associated Dynamical Systems -- The Algebra of Covariant Physical Observables -- Fourier Calculus -- Differential Calculus -- Smooth Sub-Algebra -- Sobolev Spaces -- Magnetic Derivations -- Physics Formulas -- The Auxiliary C*-Algebras -- Periodic Disorder Configurations -- The Periodic Approximating Algebra -- Finite-Volume Disorder Configurations -- The Finite-Volume Approximating Algebra -- Approximate Differential Calculus -- Bloch Algebras -- Canonical Finite-Volume Algorithm -- General Picture -- Explicit Computer Implementation -- Error Bounds for Smooth Correlations -- Assumptions -- First Round of Approximations -- Second Round of Approximations -- Overall Error Bounds -- Applications: Transport Coefficients at Finite Temperature -- The Non-Commutative Kubo Formula -- The Integer Quantum Hall Effect -- Chern Insulators -- Error Bounds for Non-Smooth Correlations -- The Aizenman-Molchanov Bound -- Assumptions -- Derivation of Error Bounds -- Applications II: Topological Invariants -- Class AIII in d = 1 -- Class A in d = 2 -- Class AIII in d = 3 -- References. |
Record Nr. | UNINA-9910254581003321 |
Prodan Emil
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
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Lo trovi qui: Univ. Federico II | ||
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