1 edition of **The Quantum Hall Effect** found in the catalog.

- 374 Want to read
- 30 Currently reading

Published
**2002**
by Springer Berlin Heidelberg in Berlin, Heidelberg
.

Written in English

- Quantum theory,
- Nanotechnology,
- Physics,
- Optical materials

The quantum Hall effects remains one of the most important subjects to have emerged in condensed matter physics over the past 20 years. The fractional quantum Hall effect, in particular, has opened up a new paradigm in the study of strongly correlated electrons, and it has been shown that new concepts, such as fractional statistics, anyon, chiral Luttinger liquid and composite particles, are realized in two-dimensional electron systems. This book explains the quantum Hall effects together with these new concepts starting from elementary quantum mechanics. Thus, graduate students can use this book to gain an overall understanding of these phenomena.

**Edition Notes**

Statement | by Daijiro Yoshioka |

Series | Springer Series in Solid-State Sciences -- 133, Springer Series in Solid-State Sciences -- 133 |

Classifications | |
---|---|

LC Classifications | QC173.45-173.458 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (xii, 210 p.) |

Number of Pages | 210 |

ID Numbers | |

Open Library | OL27084082M |

ISBN 10 | 364207720X, 3662050161 |

ISBN 10 | 9783642077203, 9783662050163 |

OCLC/WorldCa | 851375325 |

would also not be possible to observe the quantum Hall effect in a perfect probe. The von Klitzing constant h=e2 can be so precisely deﬁned through the quan-tum Hall effect measurement, that it is nowadays used worldwide as a resistance standard. Another application of the quantum Hall effect is in determining the ﬁne. May 04, · Figure 1: (Left) The quantum Hall effect (QHE) occurs in a two-dimensional electron system under a large applied magnetic field. The transverse resistance (ρ x y) takes on quantized values while the longitudinal resistance (ρ x x) vanishes. (Right) The quantum anomalous Hall effect has quantum Hall features without an applied field.

Jan 27, · If you have a 2-D confined electron system at very low temperature (below the Fermi state) and affected by a strong magnetic field (>10 T); the electrons will follow small circular path "the radius is inversely proportional to the magnetic field. The Quantum Hall Effect (Graduate Texts in Contemporary Physics) and a great selection of related books, art and collectibles available now at steinrenovationanddesigngroup.com

The unexpected discovery of the quantum Hall effect was the result of basic research on silicon field-effect transistors combined with my experience in metrology, the science of measurements. This personal review demonstrates that condensed matter physics is full of surprises and that access to excellent crystals and materials is a crucial ingredient of the success of experimentalists in. The quantum Hall effects remains one of the most important subjects to have emerged in condensed matter physics over the past 20 years. The fractional quantum Hall effect, in particular, has opened up a new paradigm in the study of strongly correlated electrons, and it has been shown that new concepts, such as fractional statistics, anyon, chiral Luttinger liquid and composite particles, are.

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The quantum Hall effect (QHE) is one of the most fascinating and beautiful phenomena in all branches of physics. Tremendous theoretical The Quantum Hall Effect book experimental developments are still being made in this sphere. In the original edition of this book, composite bosons, composite fermions and fractional charged excitations (anyons) were among the Cited by: This book is a compilation of major reprint articles on one of the most intriguing phenomena in modern physics: the quantum Hall effect.

Together with a detailed introduction by the editor, this volume serves as a stimulating and valuable reference for students and research workers in condensed matter physics and for those with a particle physics background.5/5(1).

The quantum Hall effect (or integer quantum Hall effect) is a quantum-mechanical version of the Hall effect, observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields, in which the Hall conductance σ undergoes quantum Hall transitions to take on the quantized values = =, where I channel is the channel current, V Hall is the Hall voltage, e is the.

Quantum Hall effects comprise the integer quantum Hall effect (IQHE) and the fractional quantum Hall effect (FQHE). Both have been Nobel-winning discoveries. In this book, only the underlying physics of the quantum Hall effects are discussed and they are introduced in simple, intuitive pictures.

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 by von Klitzing, Dorda and Pepper.

As the title suggests, this book focuses on the composite fermion approach as a lens through which to view all aspects of the quantum Hall e↵ect. It has many good explanations but doesn’t cover the more ﬁeld theoretic aspects of the subject. There are also a number of. This second quantum Hall effect is the fractional quantum Hall effect, or FQHE.

In general, one expects the Hall resistance to show the simple plateaus predicted by equation and the longitudinal resistivity (or conductivity) to show a set of zeroes at the plateaus.

As ν is an integer for these plateaus, this has come to be called the integer. Chapter 3 is devoted to the transport characteristics of the integer quantum Hall effect, and the basic aspects of the fractional quantum Hall effect are described in chapter 4.

In chapter 5, we briefly discuss several multicomponent quantum Hall systems, namely the quantum Hall ferromagnetism, bilayer systems and graphene that may be viewed as Cited by: This book is a compilation of major reprint articles on one of the most intriguing phenomena in modern physics: the quantum Hall effect.

Together with a detailed introduction by the editor, this volume serves as a stimulating and valuable reference for students and research workers in condensed matter physics and for those with a particle physics steinrenovationanddesigngroup.com by: name integer quantum Hall e ect.

For the discovery of the integer quantum Hall e ect, Klaus von Klitzing won the nobel prize in The quantisation of the conductivity happens for dirty, many-particle mesoscopic sys-tems. It is a collective quantum e ect, like superconductivity. The quantisation is.

"This book will provide a nice starting point for ideas that an experienced solid state physics educator may use for an in-depth introduction to the fundamentals of both the integral and fractional Quantum Hall effect. this volume does provide a useful introduction to this exciting field in one rather small but excellently produced volume.

Quantum Hall effect: a perspective / M.H. MacDonald --The discovery of the Hall effect: Edwin Hall's hiterto unpublished account / K.R. Sopka --Diamagnetismus der Metalle / L. Landau --Der Diamagnetismus von frein Elektronen / E. Teller --The dependence of the susceptibility of diamagnetic metals upon the field / W.J.

de Haas and P.M. van. This effect—the fractional quantum Hall effect—cannot be explained using the framework of a non-interacting two-dimensional electron gas, since electron–electron interactions are key in producing the fractional plateaus.

The topic is therefore beyond the scope of this book. The quantum Hall effect (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. In the original edition of this book, composite bosons, composite fermions and fractional charged excitations (anyons) were among the distinguished ideas presented. The Quantum Hall Effect by Yoshioka, Daijiro and Yoshioka, D.

available in Hardcover on steinrenovationanddesigngroup.com, also read synopsis and reviews. Today, more than 20 years after the discovery of the quantum Hall effect, the number of publications.

the book of reprints, “Quantum Hall Eﬀect”, edited by Michael Stone. My thanks to everyone in TIFR for their warm hospitality. Thanks also to Bart Andrews for comments and typo-spotting.

These lecture notes were written as prepa-ration for research funded by the European Research Council under the European. Let me start with the definition of Hall resistance to answer this question.

The conventional definition of the resistance of a conductor is the ratio of voltage applied across the conductor to the current passing through the conductor. The relati. Foreword: some remarks on the discovery of the quantum hall effect / Klaus von Klitzing --Experimental aspects and metrological applications / Marvin E.

Cage --Effects of imperfections and disorder / Richard E. Prange --Topological considerations / David J. Thouless --Field theory, scaling and the localization problem / Adrianus M.M. Pruisken. An example of the quantum Hall effect in a band theory is provided by a simple model of graphene in a periodic magnetic field introduced by Haldane [34].

This model is important because it provides a simple 2 band description of the quantum Hall effect. It also provides a. The search for topological states of matter that do not require magnetic fields for their observation led to the theoretical prediction in and experimental observation in of the so-called quantum spin Hall effect in HgTe quantum wells, a new topological state of quantum steinrenovationanddesigngroup.com by:.

About this book. 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.We report on the properties of a system of interacting electrons in a narrow channel in the quantum Hall effect regime.

It is shown that an increase in the strength of the Coulomb interaction Author: Rishabh Khare.analyze the Hall effect in the plateau region relative to the fundamental value 2 h/e i expected in the simple one-electron picture for integer filling factors of Landau levels.

Subsequent work in my.