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Topological Orders with Spins and Fermions, Laura Ortiz Mart?n


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Автор: Laura Ortiz Mart?n
Название:  Topological Orders with Spins and Fermions
ISBN: 9783030236489
Издательство: Springer
Классификация:





ISBN-10: 303023648X
Обложка/Формат: Hardcover
Страницы: 168
Вес: 0.45 кг.
Дата издания: 2019
Серия: Springer Theses
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 57 tables, color; 56 illustrations, color; 8 illustrations, black and white; xvii, 168 p. 64 illus., 56 illus. in color.
Размер: 234 x 156 x 13
Читательская аудитория: Professional & vocational
Основная тема: Physics
Подзаголовок: Quantum Phases and Computation
Ссылка на Издательство: Link
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Поставляется из: Германии
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.

Дополнительное описание: Introduction.- Topology in Condensed Matter.- Topology in Quantum Information.- Spin systems.- The bilayer double semion model.- Double semion model as a quantum memory .- Fermionic systems.- Topological insulators.- Topological superconductors.- Conclus



The Continuum Limit of Causal Fermion Systems

Автор: Finster
Название: The Continuum Limit of Causal Fermion Systems
ISBN: 3319420666 ISBN-13(EAN): 9783319420660
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This monograph introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting cases and is therefore a candidate for a unified physical theory. From the mathematical perspective, causal fermion systems provide a general framework for describing and analyzing non-smooth geometries and 'quantum geometries'. The dynamics is described by a novel variational principle, called the causal action principle.In addition to the basics, the book provides all the necessary mathematical background and explains how the causal action principle gives rise to the interactions of the standard model plus gravity on the level of second-quantized fermionic fields coupled to classical bosonic fields. The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space.The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.

Topological Orders with Spins and Fermions: Quantum Phases and Computation

Автор: Martнn Laura Ortiz
Название: Topological Orders with Spins and Fermions: Quantum Phases and Computation
ISBN: 303023651X ISBN-13(EAN): 9783030236519
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;

Theory of Heavy Fermions and Valence Fluctuations

Автор: Tadao Kasuya; Tetsuro Saso
Название: Theory of Heavy Fermions and Valence Fluctuations
ISBN: 3642826202 ISBN-13(EAN): 9783642826207
Издательство: Springer
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Цена: 16979.00 р.
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Описание: This volume contains the proceedings of the Eighth Taniguchi Interna- tional Symposium on the Theory of Condensed Matter, which was held at Shima Kanko Hotel in Shima, Japan, 10-13 April 1985. The topic of the Symposium was Valence Fluctuation and Heavy Fermion Systems, one of the most fundamental problems in present-day condensed matter physics. The dilute Kondo problem, which is one of the most typical and unique many-body problems in condensed matter physics, developed recently into the dense Kondo and the coherent Kondo lattice problems in the 4f elec- tron systems. It is accepted now that a large degeneracy in f-electron systems makes this latter situation possible by enhancing the single-site Kondo state relative to the inter-site magnetic interactions. Now, anoma- lous behavior in f-electron systems show rich variety and are called valence fluctuation phenomena as a whole. They have, however, a common fea- ture. In the lowest temperature region, they show either heavy Fermion- like character or a narrow gap formation at the Fermi energy. Discovery of superconductivity in the heavy Fermion systems is attracting more in- terest. Anyway, the valence fluctuating states are thought to be of fun- damental importance to bridge the gap between the localized magnetic states and the delocalized nownagnetic states.

Excursions in Ill-Condensed Quantum Matter: From Amorphous Topological Insulators to Fractional Spins

Автор: Agarwala Adhip
Название: Excursions in Ill-Condensed Quantum Matter: From Amorphous Topological Insulators to Fractional Spins
ISBN: 303021513X ISBN-13(EAN): 9783030215132
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.

Hidden Order and Exotic Superconductivity in the Heavy-Fermion Compound URu2Si2

Автор: Ryuji Okazaki
Название: Hidden Order and Exotic Superconductivity in the Heavy-Fermion Compound URu2Si2
ISBN: 4431545913 ISBN-13(EAN): 9784431545910
Издательство: Springer
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Цена: 18167.00 р.
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Описание: In this book, the author investigates hidden-order phase transition at T0 = 17.5 K in the heavy-fermion URu2Si2. The author also studies the superconducting state of URu2Si2 below Tc = 1.4 K, which coexists with the hidden-order phase.

Application Of Braid Groups In 2D Hall System Physics: Composite Fermion Structure

Автор: Jacak Janusz Et Al
Название: Application Of Braid Groups In 2D Hall System Physics: Composite Fermion Structure
ISBN: 9814412023 ISBN-13(EAN): 9789814412025
Издательство: World Scientific Publishing
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Цена: 11246.00 р.
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Описание: Reports the progress in topological approach to Hall system physics, including achievements in graphene. In this title, the crucial significance of carrier mobility apart from interaction in creation of the fractional quantum Hall effect (FQHE) is described and supported by various graphene experiments.

Simple Models of Many-Fermion Systems

Автор: Joachim Alexander Maruhn; Paul-Gerhard Reinhard; E
Название: Simple Models of Many-Fermion Systems
ISBN: 3642038387 ISBN-13(EAN): 9783642038389
Издательство: Springer
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Цена: 16769.00 р.
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Описание: In this user-friendly guide to the physics of many-particle systems, the material is developed along simple and generic models which illuminate the basic mechanisms behind each approach and which apply to a variety of systems in physics and chemistry.

The Landscape of Free Fermionic Gauge Models

Автор: Douglas G. Moore
Название: The Landscape of Free Fermionic Gauge Models
ISBN: 331924616X ISBN-13(EAN): 9783319246161
Издательство: Springer
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Цена: 14365.00 р.
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Описание: In this thesis, the author describes the development of a software framework to systematically construct a particular class of weakly coupled free fermionic heterotic string models, dubbed gauge models. The thesis first provides a brisk introduction to heterotic strings and the spin-structure construction of free fermionic models.

Strong Fermion Interactions in Fractional Quantum Hall States

Автор: Shashikant Mulay; John J. Quinn; Mark Shattuck
Название: Strong Fermion Interactions in Fractional Quantum Hall States
ISBN: 3030131181 ISBN-13(EAN): 9783030131180
Издательство: Springer
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Цена: 13974.00 р.
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Описание:

This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin’s approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions.
The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research.
The Continuum Limit of Causal Fermion Systems: From Planck Scale Structures to Macroscopic Physics

Автор: Finster Felix
Название: The Continuum Limit of Causal Fermion Systems: From Planck Scale Structures to Macroscopic Physics
ISBN: 3319824929 ISBN-13(EAN): 9783319824925
Издательство: Springer
Рейтинг:
Цена: 13974.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The focus is on getting a mathematically sound connection between causal fermion systems and physical systems in Minkowski space.The book is intended for graduate students entering the field, and is furthermore a valuable reference work for researchers in quantum field theory and quantum gravity.

The Landscape of Free Fermionic Gauge Models

Автор: Moore Douglas G.
Название: The Landscape of Free Fermionic Gauge Models
ISBN: 3319796488 ISBN-13(EAN): 9783319796482
Издательство: Springer
Рейтинг:
Цена: 13974.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: In this thesis, the author describes the development of a software framework to systematically construct a particular class of weakly coupled free fermionic heterotic string models, dubbed gauge models. The thesis first provides a brisk introduction to heterotic strings and the spin-structure construction of free fermionic models.

Strong Fermion Interactions in Fractional Quantum Hall States

Автор: Shashikant Mulay; John J. Quinn; Mark Shattuck
Название: Strong Fermion Interactions in Fractional Quantum Hall States
ISBN: 3030004937 ISBN-13(EAN): 9783030004934
Издательство: Springer
Рейтинг:
Цена: 13974.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание:

This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin’s approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions.
The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research.

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