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E-book: Luttinger Model: The First 50 Years and Some New Directions [World Scientific e-book]

Edited by (Univ Of Milan, Italy), Edited by (Univ Of Utah, Usa)
  • World Scientific e-book
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The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. In several respects it plays the same role in many-body theory as does the 2D Ising model in statistical physics.Interest in the Luttinger model has increased steadily ever since its introduction half a century ago. The present volume starts with reprints of the seminal papers in which it was originally introduced and solved, and continues with several contributions setting out the landscape of the principal advances of the last fifty years and of prominent new directions.
Preface ix
Vieri Mastropietro
Introduction xi
Daniel C. Mattis
Chapter I The Luttinger Model and Its Solution
1(22)
An Exactly Soluble Model of a Many-Fermion System
3(10)
Joaquin M. Luttinger
Exact Solution of a Many-Fermion System and Its Associated Boson Field
13(10)
Daniel C. Mattis
Elliott H. Lieb
Chapter II Lattice, Dynamical and Nonlinear Effects
23(96)
Luttinger Model and Luttinger Liquids
25(38)
Vieri Mastropietro
The Luttinger Liquid and Integrable Models
63(26)
Jesko Sirker
Long Time Correlations of Nonlinear Luttinger Liquids
89(16)
Rodrigo G. Pereira
An Expanded Luttinger Model
105(14)
Daniel C. Mattis
Chapter III Applications and Experimental Test
119(90)
Quantum Hall Edge Physics and Its One-Dimensional Luttinger Liquid Description
121(24)
Orion Ciftja
A Luttinger Liquid Core Inside Helium-4 Filled Nanopores
145(22)
Adrian Del Maestro
Some Experimental Tests of Tomonaga-Luttinger Liquids
167(18)
Thierry Giamarchi
Bosonization and Its Application to Transport in Quantum Wires
185(24)
Feifei Li
Chapter IV Generalizations to Higher Dimensions
209
Fermions in Two Dimensions, Bosonization, and Exactly Solvable Models
211(20)
Jonas de Woul
Edwin Langmann
Luttinger Liquid, Singular Interaction and Quantum Criticality in Cuprate Materials
231(24)
Carlo Di Castro
Sergio Caprara
Luttinger Model in Dimensions d > 1
255
Daniel C. Mattis