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North-Holland eBooks

Frontiers and borderlines in many-particle physics : Varenna on Lake Como, Villa Monastero, 7-17 July 1987

Ricardo A. Broglia, J. R. Schrieffer, Società italiana di fisica

Published Jan 1, 1988• 27 citations
OpenAlex

Abstract

Preface (R.A. Broglia and J.R. Schrieffer). 50 years of the Mott phenomenon: insulators, magnets, solids and superconductors as aspects of strong-repulsion theory (P.W. Anderson). Collective motion in Fermi droplets (G. Bertsch). The quantum Hall effect (R. Schrieffer and D.P. Arovas). Quantum effects in heavy-ion reactions (D.M. Brink). Heavy fermions (T.M. Rice). Theory of relaxation, phase transitions and tunnelling in nuclei (R.A. Broglia). The quantum mechanics of a macroscopic variable: some recent results and current issues (A.J. Leggett). Moments at the relativistic borderline: nuclei and rotation superconductors (G. Baym). Numerical simulations of many-electron condensed-matter systems (D.J. Scalapino). The lattice strong interactions: an introduction (E. Marinari).

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Preface (R.A. Broglia and J.R. Schrieffer). 50 years of the Mott phenomenon: insulators, magnets, solids and superconductors as aspects of strong-repulsion theory (P.W. Anderson). Collective motion in Fermi droplets (G. Bertsch). The quantum Hall effect (R. Schrieffer and D.P. Arovas). Quantum effects in heavy-ion reactions (D.M. Brink). Heavy fermions (T.M. Rice). Theory of relaxation, phase transitions and tunnelling in nuclei (R.A. Broglia). The quantum mechanics of a macroscopic variable: some recent results and current issues (A.J. Leggett). Moments at the relativistic borderline: nuclei and rotation superconductors (G. Baym). Numerical simulations of many-electron condensed-matter systems (D.J. Scalapino). The lattice strong interactions: an introduction (E. Marinari).
Introductory many-body theory, D.J. Thouless collective description of many-body systems, R.M. Dreizler fermi liquid theory, D. Pines theory of fractional quantum hall effect, A.H. MacDonald numerical methods for problems of interacting many electron systems, D.J. Scalapino supersymmetry in nuclear and condensed matter physics, A.B. Balantekin strongly coupled plasmas, K.I. Golden fractional quantum hall effect and electron solid, R.G. Clark models to treat strong electronic correlations, M.P. Das physics of anyons, R.B. Laughlin. (Part contents).
The electron liquid paradigm is at the basis of most of our current understanding of the physical properties of electronic systems. Quite remarkably, the latter are nowadays at the intersection of the most exciting areas of science: materials science, quantum chemistry, nano-electronics, biology, and quantum computation. Accordingly, its importance can hardly be overestimated. During the past 20 years the field has witnessed momentous developments, which are partly covered in this new volume. Advances in semiconductor technology have allowed the realizations of ultra-pure electron liquids whose density, unlike that of the ones spontaneously occurring in nature, can be tuned by electrical means, allowing a systematic exploration of both strongly and weakly correlated regimes. Most of these system are two- or even one-dimensional, and can be coupled together in the form of multi-layers or multi-wires, opening vast observational possibilities. On the theoretical side, quantum Monte Carlo methods have allowed an essentially exact determination of the ground-state energy of the electron liquid, and have provided partial answers to the still open question of the structure of its phase diagram. Starting from the 1980s some truly revolutionary concepts have emerged, which are well represented in this volume.
Open questions related with heavy electrons, H.R. Ott electron spectroscopy of strongly correlated systems, J.W. Allen single hole in 1D and 2D hubbard model, S. Sorella surface acoustic wave studies of the FQHE, R.L. Willett Chern-Simons-Landau-Ginzburg theory of the FQHE and its experimental prediction, S.C. Zhang magnetic fluctuations in La2-xSrxCuO4, G. Aeppli single particle spectral function for the large U Hubbard model, P. Wolfe strongly correlated systems in infinite dimensions and their zero-dimensional counterpart, G. Kotliar stable hc-e vortices in a gauge theory of superconductivity in strongly correlated systems, S. Sachdev electronic mechanisms for superconductivity in doped C60, G. Baskaran weakly correlated electrons - many questions and few answers, H.J. Schulz normal state properties of the high Tc oxides - gauge theories, L. Loffe single particle and optical gaps in charge-transfer insulators, Y. Bang et al a renormalization group approach for many-Fermion problems, R. Shankar spin singlet quantum hall effect and nonabelian Landau-Ginzburg theory, A. Balatsky De Haas-Van Alphen and Shubnikov-De Haas oscillations in strongly correlated electron gas, P. Lederer et al strongly correlated Fermi liquid and the normal state of high Tc superconductors, Z. Wang determinant Monte Carlo for the Hubbard model with arbitrarily gauged auxiliary fields, A.M. Tremblay spin-charged coupling in doped Mott insulators, J. Wheatley.
Strongly interacting quantum systems exhibit same of the most interesting phenomena in condensed matter physi=. Until very recently the study of these systems has heen confined to either numerical simulations of rather small systems (which still have an enormous number of q“ant”m stat=) or approximate ~na. lytical methods which are uncontrolled. Mat of the effort concentrated on the fermionic systems. In the last few yearn the hmonic systems have attracted a lot of interest.l ,2,3,4,5 Example of the bmonic strongly correlated systems inc]ude ~h~rt coherence length superconductors, Jc6ephson junction arrays, the dynamics of flux lines in high temperature superconductors and the quantum hall effect.6 The ~ntial physics of all of these problems is the competition between the hopping matr~ elements and the short range strong repulsion. The minimum mdel which contains the bmicphysics of theproblem istheso called Bme Hubbard model: