‘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

Bosonization ◽  
1994 ◽  
pp. 170-194
Author(s):  
F D M Haldane
Keyword(s):  
Luttinger Liquid ◽  
Fermi Gas ◽  
Quantum Fluids ◽  
One Dimensional ◽  
Luttinger Model ◽  
Liquid Theory

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 Dissipation-Induced Luttinger Liquid Correlations in a One-Dimensional Fermi Gas

2020 ◽  
Vol 124 (13) ◽  
Author(s):  
Ádám Bácsi ◽  
Cătălin Paşcu Moca ◽  
Balázs Dóra
Keyword(s):  
Luttinger Liquid ◽  
Fermi Gas ◽  
One Dimensional

scholarly journals Термоэдс латтинжеровской жидкости

2019 ◽  
Vol 53 (5) ◽  
pp. 648
Author(s):  
Ю.В. Иванов ◽  
О.Н. Урюпин
Keyword(s):  
Experimental Data ◽  
Seebeck Coefficient ◽  
Low Temperatures ◽  
Qualitative Agreement ◽  
Luttinger Liquid ◽  
Fermi Gas ◽  
Electron Interaction ◽  
Interaction Range ◽  
One Dimensional ◽  
Increasing Temperature

The thermopower of a Luttinger liquid with a potential barrier is calculated. The long-range nature of the electron-electron interaction is taken into account. It is shown that an increase of the interaction range qualitatively changes the temperature dependence of the thermopower. At low temperatures, the Seebeck coefficient of the Luttinger liquid is significantly less than the corresponding coefficient of a one-dimensional Fermi gas. With increasing temperature, the thermopower increases rapidly and may exceed that of the Fermi gas. The results obtained are in qualitative agreement with experimental data for quasi-one-dimensional 5-nm-thick InSb wires.

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 One-Dimensional LiquidHe4: Dynamical Properties beyond Luttinger-Liquid Theory

2016 ◽  
Vol 116 (13) ◽  
Author(s):  
G. Bertaina ◽  
M. Motta ◽  
M. Rossi ◽  
E. Vitali ◽  
D. E. Galli
Keyword(s):  
Luttinger Liquid ◽  
One Dimensional ◽  
Liquid Theory ◽  
Dynamical Properties

scholarly journals Электронный транспорт в нанопроволоках Те

2018 ◽  
Vol 60 (2) ◽  
pp. 251
Author(s):  
В.А. Березовец ◽  
Ю.А. Кумзеров ◽  
Ю.А. Фирсов
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Luttinger Liquid ◽  
Theoretical Models ◽  
Chrysotile Asbestos ◽  
One Dimensional ◽  
Major Mechanism ◽  
Liquid Theory ◽  
Current Characteristics ◽  
Tellurium Nanowires

AbstractThe temperature and magnetic field dependences of the voltage-current characteristics of tellurium nanowires manufactured via the insertion of tellurium into chrysotile asbestos pores from a melt have been measured. The measurements have been performed within a broad range of temperatures and magnetic fields. The results of such measurements are analyzed by means of their comparison with the predictions of theoretical models developed for the case of one-dimensional structures. The obtained dependences are concluded to most closely correspond to Luttinger liquid theory predictions. This result agrees with the concepts that the major mechanism of current in such one-dimensional wires does not depend on the material inserted into pores, but depends only on the dimension of conducting wires.

Sign in / Sign up

Export Citation Format

Share Document