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Spin and Charge Ordering in the Quantum Hall Regime

Spin and Charge Ordering in the Quantum Hall Regime PDF Author: Benedikt Frieß
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


Spin and Charge Ordering in the Quantum Hall Regime

Spin and Charge Ordering in the Quantum Hall Regime PDF Author: Benedikt Frieß
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


Spin and Charge Ordering in the Quantum Hall Regime

Spin and Charge Ordering in the Quantum Hall Regime PDF Author: Benedikt Frieß
Publisher: Springer
ISBN: 3319335367
Category : Computers
Languages : en
Pages : 137

Book Description
The book presents a comprehensive yet concise introduction to the physics of two-dimensional electron systems in the quantum Hall regime, as well as an up-to-date overview of the current fields of research concerning the integer and fractional quantum Hall effect. The physics of two-dimensional electron systems at low temperatures and high magnetic fields are governed by the formation of discrete energy levels referred to as Landau levels. These narrow energy bands not only form the basis of the well-known quantum Hall effect but also promote strong interactions between the electrons, giving rise to some of the finest manifestations of many-body physics in solid state science. Examples include skyrmionic spin textures, ferromagnetic spin transitions, stripe and bubble phases, as well as fractional quantum Hall states with potential non-abelian exchange statistics. The thesis succeeds in profoundly deepening our understanding of these exotic states of matter, with a main focus on the density-modulated phases in the quantum Hall regime. These phases arise from the interplay of competing interactions and are characterized by a self-organized ordering of electrons in spatial patterns. Similar phases of matter are currently being studied in other material systems as well, most notably in high-temperature superconductors. The thesis stands out not only in terms of its contribution to improving readers’ grasp of physics, but also in the diversity and novelty of the measurement techniques employed, which take advantage of the interaction between the electrons and the surrounding crystal lattice.

Topologically Ordered Zigzag Nanoribbon: E/2 Fractionally Charged Anyons And Spin-charge Separation

Topologically Ordered Zigzag Nanoribbon: E/2 Fractionally Charged Anyons And Spin-charge Separation PDF Author: Eric Sung Ryul Yang
Publisher: World Scientific
ISBN: 9811261911
Category : Science
Languages : en
Pages : 564

Book Description
This is the first graduate level textbook of topologically ordered phases with emphasis on graphene zigzag nanoribbons. It also explains common properties of several other topologically ordered phases as well as the e/2 fractional charge quantization and spin-charge separation of an electron.

Topological Phases of Matter

Topological Phases of Matter PDF Author: Roderich Moessner
Publisher: Cambridge University Press
ISBN: 1107105536
Category : Mathematics
Languages : en
Pages : 393

Book Description
This important graduate level text unites the physical mechanisms behind the phenomena of topological matter within a theoretical framework.

Spin Physics in Semiconductors

Spin Physics in Semiconductors PDF Author: Mikhail I. Dyakonov
Publisher: Springer
ISBN: 3319654365
Category : Technology & Engineering
Languages : en
Pages : 546

Book Description
This book offers an extensive introduction to the extremely rich and intriguing field of spin-related phenomena in semiconductors. In this second edition, all chapters have been updated to include the latest experimental and theoretical research. Furthermore, it covers the entire field: bulk semiconductors, two-dimensional semiconductor structures, quantum dots, optical and electric effects, spin-related effects, electron-nuclei spin interactions, Spin Hall effect, spin torques, etc. Thanks to its self-contained style, the book is ideally suited for graduate students and researchers new to the field.

Correlated Many-electron Phenomena in the Quantum Hall Regime

Correlated Many-electron Phenomena in the Quantum Hall Regime PDF Author: Gerardo Gamez-Corrales
Publisher:
ISBN:
Category :
Languages : en
Pages : 107

Book Description


Physics of Graphene

Physics of Graphene PDF Author: Hideo Aoki
Publisher: Springer Science & Business Media
ISBN: 331902633X
Category : Science
Languages : en
Pages : 356

Book Description
This book provides a state of the art report of the knowledge accumulated in graphene research. The fascination with graphene has been growing very rapidly in recent years and the physics of graphene is now becoming one of the most interesting as well as the most fast-moving topics in condensed-matter physics. The Nobel prize in physics awarded in 2010 has given a tremendous impetus to this topic. The horizon of the physics of graphene is ever becoming wider, where physical concepts go hand in hand with advances in experimental techniques. Thus this book is expanding the interests to not only transport but optical and other properties for systems that include multilayer as well as monolayer graphene systems. The book comprises experimental and theoretical knowledge. The book is also accessible to graduate students.

Graphene

Graphene PDF Author: Mikhail I. Katsnelson
Publisher: Cambridge University Press
ISBN: 1107375800
Category : Science
Languages : en
Pages : 367

Book Description
Graphene is the thinnest known material, a sheet of carbon atoms arranged in hexagonal cells a single atom thick, and yet stronger than diamond. It has potentially significant applications in nanotechnology, 'beyond-silicon' electronics, solid-state realization of high-energy phenomena and as a prototype membrane which could revolutionise soft matter and 2D physics. In this book, leading graphene research theorist Mikhail Katsnelson presents the basic concepts of graphene physics. Topics covered include Berry phase, topologically protected zero modes, Klein tunneling, vacuum reconstruction near supercritical charges, and deformation-induced gauge fields. The book also introduces the theory of flexible membranes relevant to graphene physics and discusses electronic transport, optical properties, magnetism and spintronics. Standard undergraduate-level knowledge of quantum and statistical physics and solid state theory is assumed. This is an important textbook for graduate students in nanoscience and nanotechnology and an excellent introduction for physicists and materials science researchers working in related areas.

Spin-orbit Coupling and Strong Interactions in the Quantum Hall Regime

Spin-orbit Coupling and Strong Interactions in the Quantum Hall Regime PDF Author: Daniel Hernangomez Perez
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description
The quantum Hall effect, appearing in disordered two-dimensional electron gases under strong perpendicular magnetic fields and low temperatures, has been a subject of intense research during the last thirty years due to its very spectacular macroscopic quantum transport properties. In this thesis, we expand the theoretical horizon by analytically considering the effects of spin-orbit coupling and strong electron-electron interaction in these systems.In the first part of the manuscript, we examine the simultaneous effect of Rashba spin-orbit and Zeeman interaction in the integer quantum Hall regime. Under these conditions, we extend a coherent-state vortex Green's function formalism to take into account the coupling between orbital and spin degrees of freedom within the electronic drift states. As a first application of this framework, we analytically compute controlled microscopic nonperturbative quantum functionals, such as the energy spectrum and the local density of states, in arbitrary locally flat electrostatic potential landscapes, which are then analyzed in detail in different temperature regimes and compared to scanning tunnelling experimental data. As a second application, we thoroughly study local equilibrium charge and spin transport properties and derive analytical useful formulas which incorporate the mixed non-relativistic and relativistic character of Rashba-coupled electron gases.In the second part of this thesis, we deal with the problem of analytically incorporating strong electron-electron interactions in the fractional quantum Hall regime. To this purpose, we consider a generalized two-body problem where both disorder and correlations are combined and introduce a new vortex coherent-state representation of the two-body states that naturally include long-range correlations between the electrons. The novelty of this theory is that correlations are topologically built in through the non-Euclidean metric of the Hilbert space. Next, we show that this kind of vortex states form a basis of an enlarged Hilbert space and derive the equation of motion for the Green's function in this representation. Finally, we check the consistency of our approach for any Landau level of the pair and discuss the necessity of going beyond the semiclassical (infinite magnetic field) approximation to obtain energy gaps within each energy level.

Graphite, Graphene, and Their Polymer Nanocomposites

Graphite, Graphene, and Their Polymer Nanocomposites PDF Author: Prithu Mukhopadhyay
Publisher: CRC Press
ISBN: 143982780X
Category : Technology & Engineering
Languages : en
Pages : 631

Book Description
Graphite, Graphene, and Their Polymer Nanocomposites presents a compilation of emerging research trends in graphene-based polymer nanocomposites (GPNC). International researchers from several disciplines share their expertise about graphene, its properties, and the behavior of graphene-based composites. Possibly the first published monograph of its