A Computational Non-commutative Geometry Program for Disordered Topological Insulators: 23 (SpringerBriefs in Mathematical Physics, 23) - Softcover
Book 20 of 40: SpringerBriefs in Mathematical Physics
Synopsis
This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for the investigation of homogeneous condensed matter systems. Recently, this approach has been successfully applied to topological insulators, where it facilitated many rigorous results concerning the stability of the topological invariants against disorder.
In the first part of the book the notion of a homogeneous material is introduced and the class of disordered crystals defined together with the classification table, which conjectures all topological phases from this class. The manuscript continues with a discussion of electrons’ dynamics in disordered crystals and the theory of topological invariants in the presence of strong disorder is briefly reviewed. It is shown how all this can be captured in the language of noncommutative geometry using the concept of non-commutative Brillouin torus, and a list of known formulas for various physical response functions is presented.
In the second part, auxiliary algebras are introduced and a canonical finite-volume approximation of the non-commutative Brillouin torus is developed. Explicit numerical algorithms for computing generic correlation functions are discussed.
In the third part upper bounds on the numerical errors are derived and it is proved that the canonical-finite volume approximation converges extremely fast to the thermodynamic limit. Convergence tests and various applications concludes the presentation.
The book is intended for graduate students and researchers in numerical and mathematical physics.
"synopsis" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for A Computational Non-commutative Geometry Program for...
Seller Image
Computational Non-Commutative Geometry Program for Disordered Topological Insulators
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 29040939-n
Stock Image
A Computational Non-commutative Geometry Program f
Print on DemandSeller: Basi6 International, Irving, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: Brand New. New. US edition. Print on demand title. Delivery takes 20-25 days. Excellent Customer Service. Seller Inventory # POD-243073
Seller Image
Computational Non-Commutative Geometry Program for Disordered Topological Insulators
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 29040939
Stock Image
A Computational Non-commutative Geometry Program for Disordered Topological Insulators (eng)
Print on DemandSeller: Brook Bookstore On Demand, Napoli, NA, Italy
Seller rating 5 out of 5 stars
Condition: new. Questo è un articolo print on demand. Seller Inventory # 7de2dbb50c7c048c57cd048dd354f4c4
Buy New
£ 44.14
£ 17.06 shipping
Ships from Italy to U.S.A.
Ships from Italy to U.S.A.
Quantity: Over 20 available
Stock Image
A Computational Non-commutative Geometry Program for Disordered Topological Insulators (SpringerBriefs in Mathematical Physics, 23)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9783319550220_new
Buy New
£ 54.46
£ 11.98 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Stock Image
Computational Non-Commutative Geometry Program for Disordered Topological Insulators
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 29040939-n
Buy New
£ 54.45
£ 15 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
A Computational Non-commutative Geometry Program for Disordered Topological Insulators
Published by
Berlin Springer International Publishing Springer Mrz 2017, 2017
ISBN 10: 3319550225
ISBN 13: 9783319550220
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by JeanBellissardas a theoretical framework for the investigation of homogeneous condensed matter systems. Recently, this approach has been successfully applied to topological insulators, where it facilitated many rigorous results concerning the stability of the topological invariants against disorder.In the first part of the book the notion of a homogeneous material is introduced and the class of disordered crystals defined together with the classification table, which conjectures all topological phases from this class. The manuscript continues with a discussion of electrons' dynamics in disordered crystals and the theory of topological invariants in the presence of strong disorder is briefly reviewed. It is shown how all this can be captured in the language of noncommutative geometry using the concept of non-commutative Brillouin torus, and a list of known formulas for various physical response functions is presented.In the second part, auxiliary algebras are introduced and a canonical finite-volume approximation of the non-commutative Brillouin torus is developed. Explicit numerical algorithms for computing generic correlation functions are discussed.In the third part upper bounds on the numerical errors are derived and it is proved that the canonical-finite volume approximation converges extremely fast to the thermodynamic limit. Convergence tests and various applications concludes the presentation.The book is intended for graduate students and researchers in numerical and mathematical physics. 118 pp. Englisch. Seller Inventory # 9783319550220
Seller Image
Computational Non-Commutative Geometry Program for Disordered Topological Insulators
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 29040939
Buy Used
£ 61.48
£ 15 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
A Computational Non-commutative Geometry Program for Disordered Topological Insulators. SpringerBriefs in Mathematical Physics; volume 23.
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Softcover. X, 118 p. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-01312 9783319550220 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2485172
Seller Image
A Computational Non-Commutative Geometry Program for Disordered Topological Insulators
Published by
Springer International Publishing, 2017
ISBN 10: 3319550225
ISBN 13: 9783319550220
New
Kartoniert / Broschiert
Seller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoreti. Seller Inventory # 144881271
Buy New
£ 46.73
£ 41.80 shipping
Ships from Germany to U.S.A.
Ships from Germany to U.S.A.
Quantity: Over 20 available