Luttinger liquid theory of one-dimensional spin-one-half ferro-magnetic Heisenberg chain

1995 ◽  
Vol 95 (12) ◽  
pp. 863-866
Author(s):  
Ming-chiu Tan ◽  
Xiang-ming Tao ◽  
Ya-bo Xu
Keyword(s):  
Luttinger Liquid ◽  
Heisenberg Chain ◽  
One Dimensional ◽  
Liquid Theory ◽  
Ferro Magnetic

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 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.

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.

scholarly journals Gate-tunable plasmons in mixed-dimensional van der Waals heterostructures

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Sheng Wang ◽  
SeokJae Yoo ◽  
Sihan Zhao ◽  
Wenyu Zhao ◽  
Salman Kahn ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Carrier Density ◽  
Electromagnetic Interaction ◽  
Luttinger Liquid ◽  
Fundamental Physics ◽  
Metallic Structures ◽  
One Dimensional ◽  
Figures Of Merit ◽  
Electrostatic Gating ◽  
Plasmon Dispersion

AbstractSurface plasmons, collective electromagnetic excitations coupled to conduction electron oscillations, enable the manipulation of light–matter interactions at the nanoscale. Plasmon dispersion of metallic structures depends sensitively on their dimensionality and has been intensively studied for fundamental physics as well as applied technologies. Here, we report possible evidence for gate-tunable hybrid plasmons from the dimensionally mixed coupling between one-dimensional (1D) carbon nanotubes and two-dimensional (2D) graphene. In contrast to the carrier density-independent 1D Luttinger liquid plasmons in bare metallic carbon nanotubes, plasmon wavelengths in the 1D-2D heterostructure are modulated by 75% via electrostatic gating while retaining the high figures of merit of 1D plasmons. We propose a theoretical model to describe the electromagnetic interaction between plasmons in nanotubes and graphene, suggesting plasmon hybridization as a possible origin for the observed large plasmon modulation. The mixed-dimensional plasmonic heterostructures may enable diverse designs of tunable plasmonic nanodevices.

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