Luttinger Model: The First 50 Years And Some New Directions, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 9814520721
  • ISBN-13: 9789814520720
  • DDC: 530.41
  • Grade Level Range: College Freshman - College Senior
  • 312 Pages | eBook
  • Original Copyright 2013 | Published/Released January 2015
  • This publication's content originally published in print form: 2013

  • Price:  Sign in for price



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.

Table of Contents

Front Cover.
Half Title Page.
Other Frontmatter.
Title Page.
Copyright Page.
Other Frontmatter.
1: The Luttinger Model and Its Solution.
2: An Exactly Soluble Model of a Many-Fermion System.
3: Exact Solution of a Many-Fermion System and Its Associated Boson Field.
4: Lattice, Dynamical and Nonlinear Effects.
5: Luttinger Model and Luttinger Liquids.
6: The Luttinger Liquid and Integrable Models.
7: Long Time Correlations of Nonlinear Luttinger Liquids.
8: An Expanded Luttinger Model.
9: Applicatinos and Experimental Test.
10: Quantum Hall Edge Physics and Its One-Dimensional Luttinger Liquid Description.
11: A Luttinger Liquid Core Inside Helium-4 Filled Nanopores.
12: Some Experimental Tests of Tomonaga–Luttinger Liquids.
13: Bosonization and Its Application to Transport in Quantum Wires.
14: Generalizations to Higher Dimensions.
15: Fermions in Two Dimensions, Bosonization, and Exactly Solvable Models.
16: Luttinger Liquid, Singular Interaction and Quantum Criticality in Cuprate Materials.
17: Luttinger Model in Dimensions d > 1.