Journal ArticleDOI
New wave‐operator identity applied to the study of persistent currents in 1D
TLDR
In this article, a large class of backward scattering matrix elements involving Δk ∼ ± 2kF vanish for fermions interacting with two-body attractive forces in one dimension.Abstract:
We show that a large class of backward‐scattering matrix elements involving Δk ∼ ± 2kF vanish for fermions interacting with two‐body attractive forces in one dimension. (These same matrix elements are finite for noninteracting particles and infinite for particles interacting with two‐body repulsive forces.) Our results demonstrate the possibility of persistent currents in one dimension at T = 0, and are a strong indication of a metal‐to‐insulator transition at T = 0 for repulsive forces. They are obtained by use of a convenient representation of the wave operator in terms of density‐fluctuation operators.read more
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'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas
TL;DR: The explicitly soluble Luttinger model is used as a basis for the description of the general interacting Fermi gas in one dimension, which will be called "LUTtinger liquid theory" as mentioned in this paper.
Journal ArticleDOI
Carbon nanotubes as molecular quantum wires
Abstract: Carbon nanotubes are cylindrical molecules with a diameter of as little as 1 nanometer and a length up to many micrometers They consist of only carbon atoms, and can essentially be thought of as a single layer of graphite that has been wrapped into a cylinder, (See figure 1 and the article by Thomas Ebbesen in PHYSICS TODAY, June 1996, page 26)
Luttinger liquid theory of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas
TL;DR: The explicitly soluble Luttinger model is used as a basis for the description of the general interacting Fermi gas in one dimension, which will be called "LUTtinger liquid theory".
Journal ArticleDOI
The Fermi gas model of one-dimensional conductors
TL;DR: In this paper, the Fermi gas model of one-dimensional conductors is reviewed and the exact solutions known for particular values of the coupling constants in a single chain problem (Tomonaga model, Luther-Emery model) are discussed.
Journal ArticleDOI
One-dimensional Fermi liquids
TL;DR: In this article, the authors review the progress in the theory of one-dimensional (ID) Fermi liquids which has occurred over the past decade and present a description of the low-energy properties of gapless 1D quantum systems can be based on the exactly solvable Luttinger model which incorporates these features, and whose correlation functions can be calculated.
References
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Journal ArticleDOI
An Exactly Soluble Model of a Many‐Fermion System
TL;DR: In this paper, an exactly soluble model of a one-dimensional many-fermion system is discussed and an exact calculation of the momentum distribution in the ground state is given.
Journal ArticleDOI
Superconducting fluctuations and the Peierls instability in an organic solid
L. B. Coleman,Marshall J. Cohen,D.J. Sandman,F.G. Yamagishi,Anthony F. Garito,Alan J. Heeger +5 more
TL;DR: In this article, the discovery of extraordinary conductivity maxima in a class of organic charge transfer salts is interpreted as resulting from superconducting fluctuations at high temperatures, and a possible mechanism for achieving high temperature superconductivity is suggested based on the electron-phonon interaction, in the strong coupling limit, and the Peierls soft-mode instability in pseudo-one-dimensional systems.
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Exact Solution of a Many-Fermion System and Its Associated Boson Field
Daniel C. Mattis,Elliott H. Lieb +1 more
TL;DR: In this article, Luttinger's exactly soluble model of a one-dimensional many-fermion system is discussed and the exact spectrum, free energy, and dielectric constant are obtained.