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Bulk and boundary invariants for complex topological insulators [[electronic resource] ] : from K-theory to physics / / by Emil Prodan, Hermann Schulz-Baldes
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  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
A computational non-commutative geometry program for disordered topological insulators [[electronic resource] /] / by Emil Prodan
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  
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui