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Conductor-Insulator Quantum Phase Transitions
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Conductor-Insulator Quantum Phase Transitions

Vladimir Dobrosavljevic, Nandini Trivedi, and James M. Valles, Jr.

Abstract

Quantum phase transitions describe the violent rearrangement of electrons or atoms as they evolve from well defined excitations in one phase to a completely different set of excitations in another. The book chapters give insights into how a coherent metallic or superconducting state can be driven into an incoherent insulating state by increasing disorder, magnetic field, carrier concentration and inter-electron interactions. They illustrate the primary methods employed to develop a multi-faceted theory of many interacting particle systems. They describe how recent experiments probing the micro ... More

Keywords: metal-insulator transition, superconductor-insulator transition, quantum phase transition, Anderson localization, Bardeen-Cooper-Schrieffer, strong correlations, disorder

Bibliographic Information

Print publication date: 2012 Print ISBN-13: 9780199592593
Published to Oxford Scholarship Online: September 2012 DOI:10.1093/acprof:oso/9780199592593.001.0001

Authors

Affiliations are at time of print publication.

Vladimir Dobrosavljevic, editor
Department of Physics and National High Magnetic Field Laboratory, Florida State University

Nandini Trivedi, editor
Department of Physics, Ohio State University

James M. Valles, Jr., editor
Department of Physics, Brown University

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Contents

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Part I Metal-Insulator Transitions

1 Introduction to Metal–Insulator Transitions

V. DOBROSAVLJEVIĆ Department of Physics and National High Magnetic Field Laboratory Florida State University, Tallahassee, FL 32306, USA

2 Metal–Insulator Transitions in Two-dimensional Electron Systems

S.V. KRAVCHENKO Physics Department, Northeastern University, Boston, Massachusetts 02115, USA, and Department of Physics, Loughborough University, Leicestershire, LE11 3TU, UK

3 Anderson Localization

Keith SLEVIN 1 and Tomi OHTSUKI 2 1 Osaka University 2 Sophia University

4 Penultimate Fate of a Dirty-Fermi Liquid

Alexander PUNNOOSE 1 and Alexander M. FINKEL’STEIN 2 1 Physics Department, City College of the City University of New York, New York, New York 10031, USA 2 Department of Physics, Texas A&M University, College Station, Texas 77843, USA

5 Numerical Studies of Metal—Insulator Transitions in Disordered Hubbard Models

S. CHIESA and R.T. SCALETTAR ,1 P. CHAKRABORTY ,2 P.J.H. DENTENEER ,3 T. PAIVA 4 and S. STORY 5 1 Physics Department, One Shields Ave., University of California, Davis, CA 95616 2 Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute for Physics, University of Augsburg, D-86135, Augsburg, Germany 3 Lorentz Institute, Leiden University, P.O. Box 9506, 2300 RA Leiden, The Netherlands 4 Instituto de Fίisica, Universidade Federal do Rio de Janeiro Cx.P. 68.528. 21941-972 Rio de Janeiro RJ, Brazil 5 Physics Department, University of Arizona, Tucson, AZ 85721

6 Dynamical Mean-field Theories of Correlation and Disorder

E. MIRANDA 1 and V. DOBROSAVLJEVIĆ 2 1 Instituto de Física Gleb Wataghin, Unicamp, R. Sérgio Buarque de Holanda, 777,Campinas, SP 13083-859, Brazil 2 Department of Physics and National High Magnetic Field Laboratory, FloridaState University, Tallahassee, FL 32306

7 Visualizing Critical Correlations Near the Metal–Insulator Transition in Ga1−xMnxAs

Ali YAZDANI Joseph Henry Laboratories and Department of Physics, Princeton University, Princeton, New Jersey

8 Glassy Dynamics of Electrons Near the Metal–Insulator Transition

Dragana POPOVIĆ National High Magnetic Field Laboratory, Florida State University Tallahassee, Florida 32310, USA

9 Phase Competition and Inhomogeneous States as a New Paradigm for Complex Materials

Elbio DAGOTTO 1, Shuai DONG 2, Rong YU 3, Cengiz ŞEN 4, Gonzalo ALVAREZ 5, and Adriana MOREO 6 1 Department of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996, USA, and Materials Science and Technology Division, Oak Ridge NationalLaboratory, Oak Ridge, TN 37831, USA 2 Department of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996, USA, and Materials Science and Technology Division, Oak Ridge NationalLaboratory, Oak Ridge, TN 37831, USA 3 Department of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996, USA, and Materials Science and Technology Division, Oak Ridge NationalLaboratory, Oak Ridge, TN 37831, USA 4 Department of Physics, Louisiana State University, Baton Rouge, LA 70803, USA, and Center for Nanophase Materials Science, Oak Ridge National Laboratory, OakRidge, TN 37831, USA 5 Computer Science and Mathematics Division, and Center for Nanophase MaterialsScience, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA 6 Department of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996, USA, and Materials Science and Technology Division, Oak Ridge NationalLaboratory, Oak Ridge, TN 37831, USA

Part II Superconductor-Insulator Transitions: Present Status and Open Questions

10 Superconductor-Insulator Transitions: Present Status and Open Questions

Nandini TRIVEDI Department of Physics, The Ohio State University, 191 W Woodruff Avenue, Columbus, OH 43210

11 Scaling Analysis of Direct Superconductor-Insulator Transitions in Disordered Ultrathin Films of Metals

A.M. GOLDMAN School of Physics and Astronomy University of Minnesota

12 Magnetic Field-Induced Novel Insulating Phase in 2D Superconductors

G. SAMBANDAMURTHY 1 and N. Peter ARMITAGE 2 1 Department of Physics, University at Buffalo, The State University of New York, Buffalo, NY 14260, USA. 2 Department of Physics and Astronomy, The Johns Hopkins University, Baltimore, MD 21218, USA.

13 Evidence of Cooper Pairs on the Insulating Side of the Superconductor–Insulator Transition

M.D. STEWART, Jr. and James M. VALLES, Jr. Department of Physics, Brown University, Providence, RI 02912

14 Superconductor–Insulator Transitions in Ultra-thin a-Pb Films: Disorder, Magnetic-field, and Magnetic-impurity Tuning

Peng XIONG , Ashwani KUMAR , H. Jeffrey GARDNER and Liuqi YU Department of Physics, Florida State University

15 Spin Effects Near the Superconductor–Insulator Transition

P.W. ADAMS Department of Physics and Astronomy Louisiana State University Baton Rouge, LA 70803

16 Spectroscopic Imaging STM Studies of Electronic Structure in Both the Superconducting and Pseudogap Phases of Underdoped Cuprates

K. FUJITA 1,2,3, A.R. SCHMIDT 1,2,4, E.-A. KIM 1, M.J. LAWLER 1,5, H. EISAKI 6, S. UCHIDA 3, D.-H. LEE 4 and J.C. DAVIS 1,2,7 1 LASSP, Department of Physics, Cornell University, Ithaca, NY 14853, USA 2 CMPMS Department, Brookhaven National Laboratory, Upton, NY 11973, USA 3 Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan 4 Department of Physics, University of California, Berkeley, California 94720, USA. 5 Department of Physics and Astronomy, Binghamton University, Binghamton, NY 13902-6000, USA 6 Institute of Advanced Industrial Science and Technology, Tsukuba, Ibaraki 305-8568, Japan. 7 School of Physics and Astronomy, University of St. Andrews, St. Andrews, Fife KY16 9SS, Scotland

17 Theoretical Studies of Superconductor–Insulator Transitions

Yen LEE LOH 1 and Nandini TRIVEDI 2 1 Department of Physics and Astrophysics, University of North Dakota, Grand Forks, ND 58202 2 Department of Physics, The Ohio State University, 191 W Woodruff Avenue, Columbus, OH 43210

18 Suppression of Tunneling of Superconducting Vortices Caused by a Remote Gate: Anderson’s Orthogonality Catastrophe and Localization

K. MICHAELI 1 and A.M. FINKEL’STEIN 2 1 Department of Condensed Matter Physics, The Weizmann Institute of Science, Rehovot 76100, Israel 2 Department of Condensed Matter Physics, The Weizmann Institute of Science, Rehovot 76100, Israel, and Department of Physics, Texas A&M University, College Station, TX 77843 − 4242, USA