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Author : Junichi Shiraishi
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (455 download)
Download or read book Charge and Current Oscillations in Fractional Quantum Hall Systems with Edges written by Junichi Shiraishi and published by . This book was released on 1997 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Junichi Shiraishi
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (245 download)
Download or read book Charge and Current Oscillations in Fractional Quontum Hall Systems with Edges written by Junichi Shiraishi and published by . This book was released on 1997 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivan Levkivskyi
Publisher : Springer Science & Business Media
ISBN 13 : 3642304990
Total Pages : 200 pages
Book Rating : 4.6/5 (423 download)
Download or read book Mesoscopic Quantum Hall Effect written by Ivan Levkivskyi and published by Springer Science & Business Media. This book was released on 2012-08-18 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, remarkable progress in the fabrication of novel mesoscopic devices has produced a revival of interest in quantum Hall physics. New types of measurements, more precise and efficient than ever, have made it possible to focus closely on the electronic properties of quantum Hall edge states. This is achieved by applying charge and heat currents at mesoscopic length scales, attaching metallic gates and Ohmic contacts, and splitting edge channels with the help of quantum point contacts. The experiments reveal fascinating new phenomena, such as the interference, statistics, and topological phase shifts of fractionally charged quasi-particles, strong interaction and correlation effects, and phase transitions induced by non-Gaussian fluctuations. The thesis discusses some puzzling results of these experiments and presents a coherent picture of mesoscopic effects in quantum Hall systems, which accounts for integer and fractional filling factors and ranges from microscopic theory to effective models, and covers both equilibrium and non-equilibrium phenomena.
Author : Sankar Das Sarma
Publisher : John Wiley & Sons
ISBN 13 : 3527617264
Total Pages : 444 pages
Book Rating : 4.5/5 (276 download)
Download or read book Perspectives in Quantum Hall Effects written by Sankar Das Sarma and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of the quantized and fractional Quantum Hall Effect phenomena is among the most important physics findings in the latter half of this century. The precise quantization of the electrical resistance involved in the quantized Hall effect phenomena has led to the new definition of the resistance standard and has metrologically affected all of science and technology. This resource consists of contributions from the top researchers in the field who present recent experimental and theoretical developments. Each chapter is self-contained and includes its own set of references guiding readers to original papers and further reading on the topic.
Author : Yonatan Cohen
Publisher : Springer
ISBN 13 : 303005943X
Total Pages : 55 pages
Book Rating : 4.0/5 (3 download)
Download or read book A New Platform for Edge Mode Manipulations in the Quantum Hall Effect written by Yonatan Cohen and published by Springer. This book was released on 2019-01-14 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last several decades, the quantum Hall effect has provided a remarkable platform for manipulating one-dimensional electronic modes and investigating fundamental physical phenomena. However, certain limitations make it difficult for various kinds of interesting modes structures to be formed using this platform. One example is the so called helical mode structure, in which two one-dimensional, counter propagating modes have opposite spins and thus spin and momentum are locked. Such helical modes have lately attracted significant interest, since, when coupled to a conventional superconductor, they are expected to manifest topological superconductivity and host Majorana zero modes. Even more interesting are fractional helical modes, which open the way for realizing generalized parafermionic zero modes. Possessing non-abelian exchange statistics, these quasiparticles may serve as building blocks in topological quantum computing. Here we present a new platform for manipulating integer and fractional quantum Hall edge modes, which allows the formation of robust one-dimensional helical as well as fractional helical modes. The platform is based on a carefully designed double-quantum-well structure in a GaAs based system hosting two electronic sub-bands in the quantum Hall effect regime. By electrostatic gating of different areas of the structure, counter-propagating integer, as well as fractional, edge modes with opposite spins are formed and their spin protection is verified. Beyond the formation of helical modes, the new platform can serve as a rich playground for new research. Some new possibilities include the artificial induction of compounded fractional edge modes and the construction of new edge mode-based interferometers.
Author : Jun'ichi Shiraishi
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (455 download)
Download or read book Current and Charge Distributions of the Fractional Quantum Hall Liquids with Edges written by Jun'ichi Shiraishi and published by . This book was released on 1996 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephan Baer
Publisher : Springer
ISBN 13 : 3319210513
Total Pages : 308 pages
Book Rating : 4.3/5 (192 download)
Download or read book Transport Spectroscopy of Confined Fractional Quantum Hall Systems written by Stephan Baer and published by Springer. This book was released on 2015-08-18 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of recent developments in experiments probing the fractional quantum Hall (FQH) states of the second Landau level, especially the \nu=5/2 state. It summarizes the state-of-the-art understanding of these FQH states. It furthermore describes how the properties of the FQH states can be probed experimentally, by investigating tunneling and confinement properties. The progress towards the realization of an experiment, allowing to probe the potentially non-Abelian statistics of the quasiparticle excitations at \nu=5/2 is discussed. The book is intended as a reference for graduate students, PostDocs and researchers starting in the field. The experimental part of this book gives practical advice for solving the experimental challenges which researchers studying highly fragile FQH states are faced with.
Author : Maëlle Kapfer
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (18 download)
Download or read book Dynamic of Excitations of the Fractional Quantum Hall Effect written by Maëlle Kapfer and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In some quantum matter states, the current may remarkably be transported by carriers that bear a fraction e* of the elementary electron charge. This is the case for the Fractional quantum Hall effect (FQHE) that happens in two-dimensional systems at low temperature under a high perpendicular magnetic field. When the number of magnetic flux in units of h/e is a fraction of the number of electron, a dissipationless current flows along the edges of the sample and is carried by anyons with fractional charge. The observation of the fractional charge is realized through small current fluctuations produced by the granularity of the charge. Here is presented a reliable method to measure the fractional charge by the mean of cross-correlation of current fluctuations. Moreover, the dynamical properties of those charges is probed when the sample is irradiated with photos at GHz frequency. The long predicted Josephson frequency of the fractional charge is measured. Those measurements validate Photoassisted processes in the FQHE and enable timedomain manipulation of fractional charges in order to realize a single anyon source based on levitons to perform tests of the anyonic statistics of fractional charge.
Author : Benedikt Frieß
Publisher : Springer
ISBN 13 : 3319335367
Total Pages : 137 pages
Book Rating : 4.3/5 (193 download)
Download or read book Spin and Charge Ordering in the Quantum Hall Regime written by Benedikt Frieß and published by Springer. This book was released on 2016-06-24 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Dan C. Marinescu
Publisher : Academic Press
ISBN 13 : 0123838754
Total Pages : 745 pages
Book Rating : 4.1/5 (238 download)
Download or read book Classical and Quantum Information written by Dan C. Marinescu and published by Academic Press. This book was released on 2011-01-07 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new discipline, Quantum Information Science, has emerged in the last two decades of the twentieth century at the intersection of Physics, Mathematics, and Computer Science. Quantum Information Processing is an application of Quantum Information Science which covers the transformation, storage, and transmission of quantum information; it represents a revolutionary approach to information processing. Classical and Quantum Information covers topics in quantum computing, quantum information theory, and quantum error correction, three important areas of quantum information processing. Quantum information theory and quantum error correction build on the scope, concepts, methodology, and techniques developed in the context of their close relatives, classical information theory and classical error correcting codes. Presents recent results in quantum computing, quantum information theory, and quantum error correcting codes Covers both classical and quantum information theory and error correcting codes The last chapter of the book covers physical implementation of quantum information processing devices Covers the mathematical formalism and the concepts in Quantum Mechanics critical for understanding the properties and the transformations of quantum information
Author : Zyun Francis Ezawa
Publisher : World Scientific Publishing Company
ISBN 13 : 9814518476
Total Pages : 928 pages
Book Rating : 4.8/5 (145 download)
Download or read book Quantum Hall Effects: Recent Theoretical And Experimental Developments (3rd Edition) written by Zyun Francis Ezawa and published by World Scientific Publishing Company. This book was released on 2013-03-21 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enthusiasm for research on the quantum Hall effect (QHE) is unbounded. The QHE is one of the most fascinating and beautiful phenomena in all branches of physics. Tremendous theoretical and experimental developments are still being made in this sphere. Composite bosons, composite fermions and anyons were among distinguishing ideas in the original edition.In the 2nd edition, fantastic phenomena associated with the interlayer phase coherence in the bilayer system were extensively described. The microscopic theory of the QHE was formulated based on the noncommutative geometry. Furthermore, the unconventional QHE in graphene was reviewed, where the electron dynamics can be treated as relativistic Dirac fermions and even the supersymmetric quantum mechanics plays a key role.In this 3rd edition, all chapters are carefully reexamined and updated. A highlight is the new chapter on topological insulators. Indeed, the concept of topological insulator stems from the QHE. Other new topics are recent prominent experimental discoveries in the QHE, provided by the experimentalists themselves in Part V. This new edition presents an instructive and comprehensive overview of the QHE. It is also suitable for an introduction to quantum field theory with vividly described applications. Only knowledge of quantum mechanics is assumed. This book is ideal for students and researchers in condensed matter physics, particle physics, theoretical physics and mathematical physics.
Author : Richard E. Prange
Publisher : Springer Science & Business Media
ISBN 13 : 146123350X
Total Pages : 487 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Quantum Hall Effect written by Richard E. Prange and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: After a foreword by Klaus von Klitzing, the first chapters of this book discuss the prehistory and the theoretical basis as well as the implications of the discovery of the Quantum Hall effect on superconductivity, superfluidity, and metrology, including experimentation. The second half of this volume is concerned with the theory of and experiments on the many body problem posed by fractional effect. Specific unsolved problems are mentioned throughout the book and a summary is made in the final chapter. The quantum Hall effect was discovered on about the hundredth anniversary of Hall's original work, and the finding was announced in 1980 by von Klitzing, Dorda and Pepper. Klaus von KIitzing was awarded the 1985 Nobel prize in physics for this discovery.
Author : Andrei Zvyagin
Publisher : World Scientific
ISBN 13 : 1783260475
Total Pages : 380 pages
Book Rating : 4.7/5 (832 download)
Download or read book Finite Size Effects In Correlated Electron Models: Exact Results written by Andrei Zvyagin and published by World Scientific. This book was released on 2005-05-25 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics.An important method of modern theoretical and mathematical physics — the Bethe's Ansatz (BA) — is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. Other forms dealt with are the co-ordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. The book also contains a compact description of other theoretical methods such as scaling, conformal field theory, Abelian and non-Abelian bosonizations.The book is suitable for use as a textbook by graduate students in non-perturbative methods of low-dimensional quantum many-body theory. It will also be a useful source of reference for qualified physicists, as well as non-experts in low-dimensional physics, as it explores material necessary for further studies in the fields of exactly solvable quantum models and low-dimensional correlated electron systems.
Author : Tapash Chakraborty
Publisher : Springer Science & Business Media
ISBN 13 : 3642971016
Total Pages : 186 pages
Book Rating : 4.6/5 (429 download)
Download or read book The Fractional Quantum Hall Effect written by Tapash Chakraborty and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The experimental discovery of the fractional quantum Hall effect (FQHE) at the end of 1981 by Tsui, Stormer and Gossard was absolutely unexpected since, at this time, no theoretical work existed that could predict new struc tures in the magnetotransport coefficients under conditions representing the extreme quantum limit. It is more than thirty years since investigations of bulk semiconductors in very strong magnetic fields were begun. Under these conditions, only the lowest Landau level is occupied and the theory predicted a monotonic variation of the resistivity with increasing magnetic field, depending sensitively on the scattering mechanism. However, the ex perimental data could not be analyzed accurately since magnetic freeze-out effects and the transitions from a degenerate to a nondegenerate system complicated the interpretation of the data. For a two-dimensional electron gas, where the positive background charge is well separated from the two dimensional system, magnetic freeze-out effects are barely visible and an analysis of the data in the extreme quantum limit seems to be easier. First measurements in this magnetic field region on silicon field-effect transistors were not successful because the disorder in these devices was so large that all electrons in the lowest Landau level were localized. Consequently, models of a spin glass and finally of a Wigner solid were developed and much effort was put into developing the technology for improving the quality of semi conductor materials and devices, especially in the field of two-dimensional electron systems.
Author : A. H. MacDonald
Publisher : Jaca Book
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.3/5 (91 download)
Download or read book Quantum Hall Effect written by A. H. MacDonald and published by Jaca Book. This book was released on 1989 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gabriele Giuliani
Publisher : Cambridge University Press
ISBN 13 : 9780521821124
Total Pages : 808 pages
Book Rating : 4.8/5 (211 download)
Download or read book Quantum Theory of the Electron Liquid written by Gabriele Giuliani and published by Cambridge University Press. This book was released on 2005-03-31 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author : Bertrand I Halperin
Publisher : World Scientific
ISBN 13 : 9811217505
Total Pages : 551 pages
Book Rating : 4.8/5 (112 download)
Download or read book Fractional Quantum Hall Effects: New Developments written by Bertrand I Halperin and published by World Scientific. This book was released on 2020-06-09 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fractional quantum Hall effect has been one of the most active areas of research in quantum condensed matter physics for nearly four decades, serving as a paradigm for unexpected and exotic emergent behavior arising from interactions. This book, featuring a collection of articles written by experts and a Foreword by Klaus von Klitzing, the discoverer of quantum Hall effect and winner of 1985 Nobel Prize in physics, aims to provide a coherent account of the exciting new developments and the current status of the field.
