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50 YEARS OF
ANDERSON LOCALIZATION
edited by Elihu Abrahams (University of California, Los
Angeles, USA)
500pp (approx.)
978-981-4299-07-7(pbk): US$48 / £32 US$36
/ £24
978-981-4299-06-0: US$128 / £84 US$96 /
£63
In his groundbreaking paper “Absence of diffusion in certain
random lattices (1958)”, Philip W Anderson originated, described and
developed the physical principles underlying the phenomenon of the
localization of quantum objects due to disorder. Anderson's 1977 Nobel
Prize citation featured that paper, which was fundamental for many
subsequent developments in condensed matter physics and technical
applications. After more than a half century, the subject continues to
be of fundamental importance. In particular, in the last 25 years, the
phenomenon of localization has proved to be crucial for the
understanding of the quantum Hall effect, mesoscopic fluctuations in
small conductors, some aspects of quantum chaotic behavior, and the
localization and collective modes of electromagnetic and matter waves.
This unique and invaluable volume celebrates the five
decades of the impact of Anderson localization on modern physics. In
addition to the historical perspective on its origin, the volume
provides a comprehensive description of the experimental and
theoretical aspects of Anderson localization, together with its
application in various areas, which include disordered metals and the
metal–insulator transition, mesoscopic physics, classical systems and
light, strongly-correlated systems, and mathematical models.
The volume is edited by E Abrahams, who has been a
contributor in the field of localization. A distinguished group of
experts, each of whom has left his mark on the developments of this
fascinating theory, contribute their personal insights in this volume.
They are: A Amir (Weizmann Institute of Science), P W
Anderson (Princeton University), G Bergmann (University of
Southern California), M Büttiker (University of Geneva), K
Byczuk (University of Warsaw & University of Augsburg), J
Cardy (University of Oxford), S Chakravarty (University of
California, Los Angeles), V Dobrosavljević (Florida State
University), R C Dynes (University of California, San Diego), K
B Efetov (Ruhr University Bochum), F Evers (Karlsruhe
Institute of Technology), A M Finkel'stein (Weizmann Institute
of Science & Texas A&M University), A Genack (Queens
College, CUNY), N Giordano (Purdue University), I V Gornyi
(Karlsruhe Institute of Technology), W Hofstetter (Goethe
University Frankfurt), Y Imry (Weizmann Institute of Science), B
Kramer (Jacobs University Bremen), S V Kravchenko
(Northeastern University), A MacKinnon (Imperial College
London), A D Mirlin (Karlsruhe Institute of Technology), M
Moskalets (NTU “Kharkiv Polytechnic Institute”), T Ohtsuki
(Sophia University), P M Ostrovsky (Karlsruhe Institute of
Technology), A M M Pruisken (University of Amsterdam), T V
Ramakrishnan (Indian Institute of Science), M P Sarachik
(City College, CUNY), K Slevin (Osaka University), T Spencer
(Institute for Advanced Study, Princeton), D J Thouless
(University of Washington), D Vollhardt (University of Augsburg), J
Wang (Queens College, CUNY), F J Wegner
(Ruprecht-Karls-University) and P Wölfle (Karlsruhe Institute
of Technology).
Contents:
- Thoughts on Localization (P W Anderson)
- Anderson Localization in the Seventies and
Beyond (D J Thouless)
- Intrinsic Anderson Localization in Manganites
(T V Ramakrishnan)
- Self-Consistent Theory of Anderson
Localization: General Formalism and Applications (P Wölfle & D
Vollhardt)
- Anderson Localization and Supersymmetry (K B
Efetov)
- From Anderson Localization to Mesoscopic
Physics (M Büttiker & M Moskalets)
- The Localization Transition at Finite
Temperatures: Electric and Thermal Transport (Y Imry & A Amir)
- Scaling of von Neumann Entropy at the Anderson
Transition (S Chakravarty)
- Localization and the Metal–Insulator Transition
— Experimental Observations (R C Dynes)
- Weak Localization — An Experimental Tool for
Pico-Second Spectroscopy (G Bergmann)
- Weak Localization and Electron–Electron
Interaction Effects in Thin Metal Wires and Films (N Giordano)
- Inhomogeneous Fixed Point Ensembles Revisited
(F J Wegner)
- Quantum Network Models and Classical
Localization Problems (J Cardy)
- Anderson Transitions: Criticality, Symmetries,
and Topologies (A D Mirlin et al.)
- Mathematical Aspects of Anderson Localization
(T Spencer)
- Finite Size Scaling Analysis of the Anderson
Transition (B Kramer & A MacKinnon)
- A Metal–Insulator Transition in 2D: Established
Facts and Open Questions (S V Kravchenko & M P Sarachik)
- Disordered Electron Liquid with Interactions (A
M Finkel'stein)
- Typical-Medium Theory of Mott–Anderson
Localization (V Dobrosavljević)
- Anderson Localization vs. Mott–Hubbard
Metal–Insulator Transition in Disordered, Interacting Lattice Fermion
Systems (K Byczuk et al.)
- Topological Principles in the Theory of
Anderson Localization (A M M Pruisken)
- Modes, Speckle and Statistics in the Photon
Localization Transition (A Genack & J Wang)
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