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Topological Quantum Matter, Thomas Klein Kvorning


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Автор: Thomas Klein Kvorning
Название:  Topological Quantum Matter
ISBN: 9783030072469
Издательство: Springer
Классификация:




ISBN-10: 3030072460
Обложка/Формат: Soft cover
Страницы: 81
Вес: 0.16 кг.
Дата издания: 2018
Серия: Springer Theses
Язык: English
Иллюстрации: X, 81 p. 24 illus., 6 illus. in color.
Размер: Book (Paperback Initiative)
Основная тема: Physics
Подзаголовок: A Field Theoretical Perspective
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book offers a theoretical description of topological matter in terms of effective field theories, and in particular topological field theories, focusing on two main topics: topological superconductors and topological insulators.Even though there is vast literature on these subjects, the book fills an important gap by providing a concise introduction to both topological order and symmetry-protected phases using a modern mathematical language, and developing the theoretical concepts by highlighting the physics and the physical properties of the systems. Further, it discusses in detail the topological interactions for topologically ordered matter, and the response to smooth external fields for symmetry protected matter.The book also covers more specialized topics that cannot be found elsewhere. Specifically, the response of superconductors to geometry, including the newly discovered geo-Meissner effect; and a correction to the usual Meissner effect, only present in the topologically interesting chiral superconductors.
Дополнительное описание: Introduction.- Anyons and Topological Order.- Response Theory and SPT Phases.- Geometric Response and TO of SC’s.- The Abelian Hierarchy of Fractional Quantum Hall Liquids.



Quantum Mechanics and Electrodynamics

Автор: Jaroslav Zamastil; Jakub Benda; Tereza Uhl??ov?
Название: Quantum Mechanics and Electrodynamics
ISBN: 3319657798 ISBN-13(EAN): 9783319657790
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Preface.- Acknowledgments.- Notation, Convention, Units, and Experimental Data.- List of Exercises.-1 Foundations of Quantum Mechanics.- 2 Approximate Methods in Quantum Mechanics.- 3 Hydrogen Atom Structure and its Spectral Lines.- 4 Treasures Hidden in Commutators.- 5 The Helium Atom.- 6 Dynamics: The Non-Relativistic Theory.- 7 Dynamics: The Relativistic Theory.- Afterword.- Appendix.- Index.

Fundamentals of Quantum Mechanics

Автор: House, James E.
Название: Fundamentals of Quantum Mechanics
ISBN: 0128092424 ISBN-13(EAN): 9780128092422
Издательство: Elsevier Science
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Цена: 10603.00 р.
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Описание: Fundamentals of Quantum Mechanics, Third Edition is a clear and detailed introduction to quantum mechanics and its applications in chemistry and physics. All required math is clearly explained, including intermediate steps in derivations, and concise review of the math is included in the text at appropriate points. Most of the elementary quantum mechanical models—including particles in boxes, rigid rotor, harmonic oscillator, barrier penetration, hydrogen atom—are clearly and completely presented. Applications of these models to selected “real world” topics are also included. This new edition includes many new topics such as band theory and heat capacity of solids, spectroscopy of molecules and complexes (including applications to ligand field theory), and small molecules of astrophysical interest.

Electronic and Magnetic Excitations in Correlated and Topological Materials

Автор: Van Dyke
Название: Electronic and Magnetic Excitations in Correlated and Topological Materials
ISBN: 3319899376 ISBN-13(EAN): 9783319899374
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This breakthrough provides a theoretical explanation for a series of puzzling experimental observations, demonstrating that strong magnetic interactions provide the quantum glue for unconventional superconductivity.

Chiral and Topological Nature of Magnetic Skyrmions

Автор: Shilei Zhang
Название: Chiral and Topological Nature of Magnetic Skyrmions
ISBN: 3030074722 ISBN-13(EAN): 9783030074722
Издательство: Springer
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Описание: This book focuses on the characterisation of the chiral and topological nature of magnetic skyrmions in noncentrosymmetric helimagnets. In these materials, the skyrmion lattice phase appears as a long-range-ordered, close-packed grid of nearly millimetre-level correlation length, while the size of a single skyrmion is 3–100 nm. This is a very challenging range of length scales (spanning 5 orders of magnitude from tens of nm to mm) for magnetic characterisation techniques, and, to date, extensive information on this fascinating, magnetically ordered state has remained elusive. In response, this work develops novel resonant elastic x-ray scattering (REXS) techniques, which allow the magnetic structure, including the long-range order and domain formation, as well as microscopic skyrmion parameters, to be measured across the full range of length scales. Most importantly, using circular dichroism in REXS, the internal structure of a given skyrmion, the topological winding number, and the skyrmion helicity angle can all be unambiguously determined. These new techniques are applicable to many materials systems, and allow us to retrieve information on modulated spin structures, multiferroic order, spin-density-waves, and other forms of topological magnetic order.

Measuring, Interpreting and Translating Electron Quasiparticle - Phonon Interactions on the Surfaces of the Topological Insulators Bismuth Selenide and Bismuth Telluride

Автор: Howard
Название: Measuring, Interpreting and Translating Electron Quasiparticle - Phonon Interactions on the Surfaces of the Topological Insulators Bismuth Selenide and Bismuth Telluride
ISBN: 331944722X ISBN-13(EAN): 9783319447223
Издательство: Springer
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Цена: 15672.00 р.
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Описание: The thesis presents experimental and theoretical results about the surface dynamics and the surface Dirac fermion (DF) spectral function of the strong topological insulators Bi2Te3 and Bi2Se3. The experimental results reveal the presence of a strong Kohn anomaly in the measured surface phonon dispersion of a low-lying optical mode, and the absence of surface Rayleigh acoustic phonons. Fitting the experimental data to theoretical models employing phonon Matsubara functions allowed the extraction of the matrix elements of the coupling Hamiltonian and the modifications to the surface phonon propagator that are encoded in the phonon self-energy. This allowed, for the first time, calculation of phonon mode-specific DF coupling ??(q) from experimental data, with average coupling significantly higher than typical values for metals, underscoring the strong coupling between optical surface phonons and surface DFs in topological insulators. Finally, to connect to experimental results obtained from photoemission spectroscopies, an electronic (DF) Matsubara function was constructed using the determined electron-phonon matrix elements and the optical phonon dispersion. This allowed calculation of the DF spectral function and density of states, allowing for comparison with photoemission and scanning tunneling spectroscopies. The results set the necessary energy resolution and extraction methodology for calculating ? from the DF perspective.

Bulk and Boundary Invariants for Complex Topological Insulators

Автор: Emil Prodan; Hermann Schulz-Baldes
Название: Bulk and Boundary Invariants for Complex Topological Insulators
ISBN: 3319293508 ISBN-13(EAN): 9783319293509
Издательство: Springer
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Цена: 9781.00 р.
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Описание: This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry.

Optical Properties of Bismuth-Based Topological Insulators

Автор: Paola Di Pietro
Название: Optical Properties of Bismuth-Based Topological Insulators
ISBN: 3319350447 ISBN-13(EAN): 9783319350448
Издательство: Springer
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Цена: 13059.00 р.
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Описание: This book examines the low energy optical conductivity of TIs to distinguish the extrinsic charge contribution of the bulk from the intrinsic contribution of the surface state carriers. Describes apparatus, methods, sample preparation and analysis procedures.

Topological Orders with Spins and Fermions

Автор: Laura Ortiz Mart?n
Название: Topological Orders with Spins and Fermions
ISBN: 303023648X ISBN-13(EAN): 9783030236489
Издательство: Springer
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Цена: 13974.00 р.
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Описание:

This thesis deals with topological orders from two different perspectives: from a condensed matter point of view, where topological orders are considered as breakthrough phases of matter; and from the emerging realm of quantum computation, where topological quantum codes are considered the most appealing platform against decoherence.
The thesis reports remarkable studies from both sides. It thoroughly investigates a topological order called the double semion model, a counterpart of the Kitaev model but exhibiting richer quasiparticles as excitations. A new model for symmetry enriched topological order is constructed, which adds an onsite global symmetry to the double semion model. Using this topological phase, a new example of topological code is developed, the semion code, which is non-CSS, additive, non-Pauli and within the stabiliser formalism.
Furthermore, the thesis analyses the Rashba spin-orbit coupling within topological insulators, turning the helical edge states into generic edges modes with potential application in spinstronics. New types of topological superconductors are proposed and the novel properties of the correspondingly created Majorana fermions are investigated. These Majorana fermions have inherent properties enabling braiding and the performance of logical gates as fundamental blocks for a universsal quantum computator.
Topological Quantum Matter

Автор: Thomas Klein Kvorning
Название: Topological Quantum Matter
ISBN: 3319967630 ISBN-13(EAN): 9783319967639
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book offers a theoretical description of topological matter in terms of effective field theories, and in particular topological field theories, focusing on two main topics: topological superconductors and topological insulators.Even though there is vast literature on these subjects, the book fills an important gap by providing a concise introduction to both topological order and symmetry-protected phases using a modern mathematical language, and developing the theoretical concepts by highlighting the physics and the physical properties of the systems. Further, it discusses in detail the topological interactions for topologically ordered matter, and the response to smooth external fields for symmetry protected matter.The book also covers more specialized topics that cannot be found elsewhere. Specifically, the response of superconductors to geometry, including the newly discovered geo-Meissner effect; and a correction to the usual Meissner effect, only present in the topologically interesting chiral superconductors.

Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter

Автор: Alase Abhijeet
Название: Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter
ISBN: 3030319598 ISBN-13(EAN): 9783030319595
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This thesis extends our understanding of systems of independent electrons by developing a generalization of Bloch’s Theorem which is applicable whenever translational symmetry is broken solely due to arbitrary boundary conditions. The thesis begins with a historical overview of topological condensed matter physics, placing the work in context, before introducing the generalized form of Bloch's Theorem. A cornerstone of electronic band structure and transport theory in crystalline matter, Bloch's Theorem is generalized via a reformulation of the diagonalization problem in terms of corner-modified block-Toeplitz matrices and, physically, by allowing the crystal momentum to take complex values. This formulation provides exact expressions for all the energy eigenvalues and eigenstates of the single-particle Hamiltonian. By precisely capturing the interplay between bulk and boundary properties, this affords an exact analysis of several prototypical models relevant to symmetry-protected topological phases of matter, including a characterization of zero-energy localized boundary excitations in both topological insulators and superconductors. Notably, in combination with suitable matrix factorization techniques, the generalized Bloch Hamiltonian is also shown to provide a natural starting point for a unified derivation of bulk-boundary correspondence for all symmetry classes in one dimension.

Topological Matter

Автор: Dario Bercioux; J?r?me Cayssol; Maia G. Vergniory;
Название: Topological Matter
ISBN: 3319763873 ISBN-13(EAN): 9783319763873
Издательство: Springer
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Цена: 16070.00 р.
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Описание: This book covers basic and advanced aspects in the field of Topological Matter. The chapters are based on the lectures presented during the Topological Matter School 2017. It provides graduate level content introducing the basic concepts of the field, including an introductory session on group theory and topological classification of matter. Different topological phases such as Weyls semi-metals, Majoranas fermions and topological superconductivity are also covered. A review chapter on the major experimental achievements in the field is also provided. The book is suitable not only for master, graduate and young postdoctoral researchers, but also to senior scientists who want to acquaint themselves with the subject.

Excursions in Ill-Condensed Quantum Matter

Автор: Adhip Agarwala
Название: Excursions in Ill-Condensed Quantum Matter
ISBN: 3030215105 ISBN-13(EAN): 9783030215101
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Impurities, disorder or amorphous systems – ill-condensed matter – are mostly considered inconveniences in the study of materials, which is otherwise heavily based on idealized perfect crystals. The Kondo effect and the scaling theory of localization are among the fundamental and early discoveries which revealed the novelty hidden in impure or disordered systems. Recent advances in condensed matter physics have emphasized the role of topology, spin-orbit coupling, and certain discrete symmetries such as time reversal in many physical phenomena. These have irreversibly transformed the essential ideas and purview of condensed matter physics, both in theoretical and experimental directions. However, many of these recent developments and their implications are limited to, or by, ideas that pertain to clean systems. This thesis deals with various aspects of these new developments, but in the case of unclean systems. The author introduces new ideas such as amorphous topological insulators, fractalized metals and fractionalized spins.


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