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

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 Long-lived binary tunneling spectrum in the quantum Hall Tomonaga-Luttinger liquid

2016 ◽  
Vol 93 (7) ◽  
Author(s):  
K. Washio ◽  
R. Nakazawa ◽  
M. Hashisaka ◽  
K. Muraki ◽  
Y. Tokura ◽  
...  
Keyword(s):  
Quantum Hall ◽  
Luttinger Liquid ◽  
Tunneling Spectrum

scholarly journals THE LUTTINGER LIQUID AND INTEGRABLE MODELS

2012 ◽  
Vol 26 (22) ◽  
pp. 1244009 ◽  
Author(s):  
J. SIRKER
Keyword(s):  
Luttinger Liquid ◽  
Lattice Models ◽  
Lattice Relaxation ◽  
Integrable Models ◽  
Low Energy ◽  
Spin Lattice Relaxation ◽  
Effective Theory ◽  
Spin Lattice ◽  
Liquid Theory ◽  
Low Energies

Many fundamental one-dimensional lattice models such as the Heisenberg or the Hubbard model are integrable. For these microscopic models, parameters in the Luttinger liquid theory can often be fixed and parameter-free results at low energies for many physical quantities such as dynamical correlation functions obtained where exact results are still out of reach. Quantum integrable models thus provide an important testing ground for low-energy Luttinger liquid physics. They are, furthermore, also very interesting in their own right and show, for example, peculiar transport and thermalization properties. The consequences of the conservation laws leading to integrability for the structure of the low-energy effective theory have, however, not fully been explored yet. I will discuss the connection between integrability and Luttinger liquid theory here, using the anisotropic Heisenberg model as an example. In particular, I will review the methods which allow to fix free parameters in the Luttinger model with the help of the Bethe ansatz solution. As applications, parameter-free results for the susceptibility in the presence of nonmagnetic impurities, for spin transport, and for the spin-lattice relaxation rate are discussed.

Sign in / Sign up

Export Citation Format

Share Document