Institut für Theoretische Physik III

1. Supersymmetry in Disorder and Chaos

2. Itinerant Electron Magnetism: Fluctuation Effects

3. Introduction to the Integer Quantum Hall Effect

4. Fluctuations and Localization in Mesoscopic Electron Systems

Supersymmetry in Disorder and Chaos
Konstantin Efetov
Supersymmetry in Disorder and Chaos The development of the supersymmetry technique has led to significant advances in the study of disordered metals and semiconductors. The technique has proved to be of great use in the analysis of modern mesoscopic quantum devices, but is also finding applications in a broad range of other topics, such as localisation and quantum chaos. This book provides the first comprehensive treatment of the ideas and uses of supersymmetry. The first four chapters of the book set out the basic results and some straightforward applications of the technique. Thereafter, a range of topics is covered in detail, including random matrix theory, persistent currents in mesoscopic rings, transport in mesoscopic devices, localisation in quantum wires and films, and the quantum Hall effect. Each topic is covered in a self-contained manner, and the book will be of great interest to graduate students and researchers in condensed matter physics and quantum chaos.

Chapter Contents

1. Introduction
2. Supermathematics
3. Diffusion modes
4. Nonlinear supermatrix s- model
5. Perturbation theory and renormalization group
6. Energy level statistics
7. Quantum size effects in small metal particles
8. Persistent currents in mesoscopic rings
9. Transport through mesoscopic devices
10. Universal parametric correlations
11. Localization in systems with one-dimensional geometry
12. Anderson metal-insulator transition
13. Disorder in two dimensions
14. Afterword

Title Details

Binding: Paperback
ISBN: 9780521663823
Published: February 1997
Format: 453 pp pages; 260 x 185mm
Cambrige University Press

Itinerant Electron Magnetism: Fluctuation Effects
Dieter Wagner
Wolfgang Brauneck
Alexander Solontsov
Itinerant Electron Magnetism: Fluctuation Effects A summary of recent developments in theoretical and experimental studies of fluctuation effects in itinerant electron magnets, focusing on novel physical phenomena: soft-mode spin fluctuations and zero-point effects, strong spin anharmonicity, magnetic frustrations in metals, fluctuation effects in Invar alloys and low-dimensional systems. All of these may be important for novel high-technology applications.

Contents and Contributors

Preface. Spin Fluctuations in Itinerant Frustrated Systems;
M. Shiga, H. Nakamura.

Neutron Scattering and mSR Studies of Spin Fluctuations in Frustrated Itinerant Magnets;
B.D. Rainford, et al.

Critical Fluctuations and the Nature of the Néel Transition Near the Triple Point in Chromium Alloys;
E. Fawcett, D.R. Noakes.

UPd2Al3: An Analysis of the Inelastic Neutron Scattering Spectra;
N. Bernhoeft, et al.

Anisotropy of the Generalized Susceptibility in Mn (38% Ni) Alloy in the Magnetic Phase Transition Region;
J.J. Milczarek, et al.

Pseudodipolar Interaction and Antiferromagnetism of R2CuO4 Compounds (R=Pr, Nd, Sm and Eu);
S.V. Maleyev, et al.

Soft-Mode Spin Fluctuations in Itinerant Electron Magnets;
A. Solontsov, et al.

Effects of Spin Fluctuations in Transition Metals and Alloys;
M. Shimizu.

The Temperature Dependence of the Enhanced Paramagnetic Susceptibility at Finite Magnetic Field;
E. Pamyatnykh, et al.

First-Principles Study of Itinerant-Electron Magnets: Ground State and Thermal Properties;
L.M. Sandratskii, et al.

Molecular Dynamics Approach to Complex Magnetic Structures in Itinerant-Electron Systems;
Y. Kakehashi, et al.

Spin Fluctuation Theory Versus Exact Calculations;
V. Barar, et al.

Magnetovolume Effect and Longitudinal Spin Fluctuations in Invar Alloys;
A.Z. Menshikov, et al.

High Temperature Thermal Expansion of RMn2 Intermetallic Compounds with Heavy Rare Earth Elements;
I.S. Dubenko, et al.

Magnetoelasticity and Isotope Effect in Ferromagnets;
V.M. Zverev.

Spin-Flop and Metamagnetic Transitions in Itinerant Ferrimagnets;
A.K. Zvezdin, et al.

The Phase Diagram of the Kondo Lattice;
C. Lacroix.

Pressure Effect on the Magnetic Susceptibility of the YbInCu4 and GdInCu4 Compounds;
I.V. Svechkarev, et al.

Atomic Volume Effect on Electronic Structure and Magnetic Properties of UGa3 Compund;
E. Grechnev, et al.

On the Temperature Dependence of the Electrical Resistivity of Er0.55Y0.45Co2;
A.N. Pirogov, et al.

Electrical Resistivity and Phase Transitions in FeRh Based Compounds: Influence of Spin Fluctuations;
N.V. Baranov, et al.

Resistivity, Magnetoresistance and Hall Effect in Co(100-x)(CuO)x(10sxs70wt.%) Composites;
V. Prudnikov, et al.

Theory of Itinerant-Electron Spin-Glass in Amorphous Fe;
T. Uchida, Y. Kakehashi.

The Formation of the Magnetic Properties in Disordered Binary Alloys of Metal-Metalloid Type;
A.K. Arzhnikov, L.V. Dobysheva.

Itinerant Electrons and Superconductivity in Exotic Layered Systems;
V.A. Ivanov, et al.

The Multiband Analysis of the Electron Dispersion at the Top of the Valence Band in Undoped Cuprates;
S.G. Ovchinnikov.

Spin-Peierls Magnet CuGeO3;
G.A. Petrakovskii.

Electron Acoustic Effects in Metallic Magnetic Multilayers;
V.I. Okulov, et al>

Author Index.
Subject Index.

Title Details

Proceedings of the NATO Advanced Research Workshop on Itinerant Electron Magnetism:
Fluctuation Effects & Critical Phenomena, Moscow, Russia, September 15-19, 1997

Hardcover, ISBN 978-0-7923-5202-0
August 1998, 472 pp.
Paperback, ISBN 978-0-7923-5203-7
July 1998, 472 pp.
Kluwer Academic Publishers, Dordrecht

Introduction to the Integer Quantum Hall Effect
Martin Janssen
Olaf Viehweger
Ulrich Fastenrath
János Hajdu
Introduction to the Integer Quantum Hall Effect This textbook on the quantum Hall effect was conceived and written by four scientists who have long been active in the area. Not intended as an exhaustive survey, it covers subjects which have turned out to have had a significant and lasting impact on our understanding of the quantum Hall effect.
The first part systematically explores the problem of localization in strong magnetic fields, while the second part briefly describes promising fields of theoretical research. The various chapters present partial solutions, in order of increasing complexity, tothe fundamental localization problem 'How does a system manage to behave as a perfect conductor and as a perfect insulator?'.
Experimental and theoretical physicists, graduate students as well as experts in transport theory will discover new aspects and interesting perspectives on magnetotransport.

Chapter Contents

1. Introduction
2. Basic Facts
3. Quantum Hall Effect for Pedestrians
4. Linear Response
5. Phenomenology of Global Conductivities
6. localisation in High Landau Bands
7. Averaging Green Functions
8. Localization in the Lowest Landau Level
9. General Aspects of Critical Phenomena
10. Finite Size Scaling
11. The Localization Length Exponent
12. Multifractal Analysis
APPENDIX: A Survey of Approaches

Title Details

Edited by János Hajdu

Binding: Hardback
ISBN: 3-527-29267-5
Published: 1994
Format: 296 pages; 245 x 170 mm
Wiley-VCH, Weinheim, 1994

Fluctuations and Localization in Mesoscopic Electron Systems
Martin Janssen
Fluctuations and Localization in Mesoscopic Electron Systems The quantum phenomena of tunneling and interference show up not only in the microscopic world of atoms and molecules, but also in cold materials of the real world, such as metals and semiconductors. Though not fully macroscopic, such mesoscopic systems contain a huge number of particles, and the holistic nature of quantum mechanics becomes evident already in simple electronic measurements. The measured quantity fluctuates as a function of applied fields in an unpredictable, yet reproducible way. Despite this fingerprint character of fluctuations, their statistical properties are universal, i.e. they are the same for a large class of different mesoscopic systems, having only very few parameters in common. Localization of electrons is a dramatic effect of destructive interference. As a consequence a metal can become an insulator while reaching mesoscopic scales.

Based on elementary quantum and statistical physics, this text introduces the theory of mesoscopic electron systems. It focuses on universal characteristics of fluctuations and on the localization mechanism. General concepts and methods are stressed, such as scaling laws for distribution functions. Tools from condensed matter theory are used flexibly. Involved technical details are skipped so as to present a broad overview of the field, including topics like quantum dots, the quantum Hall effect and a number of the most recent developments.

Chapter Contents

1. Introduction
2. Experimental Facts
3. Basic Theoretical Models and Tools
4. Idealized Systems
5. Towards Realistic Systems
6. The Localization?Delocalization Transition

Title Details

Binding: Hardback
ISBN: 981-02-4209-3
Published: 1994
Format: 220 pages; 220 x 160 mm
World Scientific, Singapore, June 2001