scholarly journals Effective Interactions of the One-Dimensionald-pModel Based on the Luttinger Liquid Theory

2002 ◽  
Vol 71 (Suppl) ◽  
pp. 353-355 ◽  
Author(s):  
Kazuhiro Sano ◽  
Yoshiaki Ōno
Keyword(s):  
Luttinger Liquid ◽  
Effective Interactions ◽  
Liquid Theory ◽  
The One

scholarly journals A Short Review on One Dimensional Wigner Crystallization

2020 ◽  
Author(s):  
Niccolo Traverso Ziani ◽  
Fabio Cavaliere ◽  
Karina Guerrero Becerra ◽  
Maura Sassetti
Keyword(s):  
Carbon Nanotubes ◽  
Structural Transition ◽  
Luttinger Liquid ◽  
Electronic System ◽  
Short Review ◽  
One Dimensional ◽  
Basic Properties ◽  
Wigner Crystallization ◽  
Liquid Theory ◽  
The One

The simplest possible structural transition that an electronic system can undergo is Wigner crystallization. The aim of this short review is to discuss the main aspects of three recent experimets on the one dimensional Wigner molecule, starting from scratch. To achieve this task, the Luttinger liquid theory of weakly and strongly interacting fermions will be shortly addressed, together with the basic properties of carbon nanotubes that are require. Then, the most relevant properties of Wigner molecules will be addressed, and finally the experiments will be described.

scholarly journals Fermi-Liquid Features of the One-Dimensional Luttinger Liquid

1998 ◽  
Vol 12 (32) ◽  
pp. 3465-3473 ◽  
Author(s):  
Yupeng Wang
Keyword(s):  
Fermi Liquid ◽  
Luttinger Liquid ◽  
Finite Size ◽  
Electron Systems ◽  
Dynamical Correlation ◽  
One Dimensional ◽  
Conformal Field ◽  
Liquid Theory ◽  
The One ◽  
Finite Size Corrections

We show that the one-dimensional (1D) electron systems can also be described by Landau's phenomenological Ferimi-liquid theory. Most of the known results derived from the Luttinger-liquid theory can be retrieved from the one-dimensional Fermi-liquid theory. Exact correspondence between the Landau parameters and Haldane parameters is established. The exponents of the dynamical correlation functions and the impurity problem are also discussed based on the finite size corrections of elementary excitations with the predictions of the conformal field theory, which provides a bridge between the one-dimensional Fermi-liquid and the Luttinger liquid.

scholarly journals A Short Review of One-Dimensional Wigner Crystallization

Crystals ◽  
2020 ◽  
Vol 11 (1) ◽  
pp. 20
Author(s):  
Niccolo Traverso Ziani ◽  
Fabio Cavaliere ◽  
Karina Guerrero Becerra ◽  
Maura Sassetti
Keyword(s):  
Carbon Nanotubes ◽  
Electron Density ◽  
Structural Transition ◽  
Luttinger Liquid ◽  
Electronic System ◽  
Short Review ◽  
One Dimensional ◽  
Wigner Crystallization ◽  
Liquid Theory ◽  
The One

The simplest possible structural transition that an electronic system can undergo is Wigner crystallization. The aim of this short review is to discuss the main aspects of three recent experimets on the one-dimensional Wigner molecule, starting from scratch. To achieve this task, the Luttinger liquid theory of weakly and strongly interacting fermions is briefly addressed, together with the basic properties of carbon nanotubes that are required. Then, the most relevant properties of Wigner molecules are addressed, and finally the experiments are described. The main physical points that are addressed are the suppression of the energy scales related to the spin and isospin sectors of the Hamiltonian, and the peculiar structure that the electron density acquires in the Wigner molecule regime.

Application of the Landau-Luttinger Liquid Formulation to the Study of the Magnetic Properties of the 1-D Hubbard Model

1991 ◽  
Vol 05 (01n02) ◽  
pp. 3-30 ◽  
Author(s):  
J. Carmelo ◽  
P. Horsch ◽  
P.A. Bares ◽  
A.A. Ovchinnikov
Keyword(s):  
Magnetic Field ◽  
Magnetic Properties ◽  
Low Temperature ◽  
Hubbard Model ◽  
Luttinger Liquid ◽  
Liquid Formulation ◽  
One Dimensional ◽  
Spin Excitations ◽  
Arbitrary Strength ◽  
The One

The Landau-Luttinger liquid formulation is used to investigate the physics of the one-dimensional Hubbard model in a magnetic field of arbitrary strength H. The low lying charge and spin excitations are studied. A novel branch of sound wave-like spin excitations arises for H>0. The low temperature thermodynamics is considered in some detail.

scholarly journals Microscopic construction of the chiral Luttinger liquid theory of the quantum Hall edge

2004 ◽  
Vol 70 (23) ◽  
Author(s):  
A. Boyarsky ◽  
Vadim V. Cheianov ◽  
O. Ruchayskiy
Keyword(s):  
Quantum Hall ◽  
Luttinger Liquid ◽  
Liquid Theory
Sign in / Sign up

Export Citation Format

Share Document