scholarly journals TRANSPORT IN QUANTUM WIRES WITH IMPURITIES AT FINITE TEMPERATURE

2003 ◽  
Vol 17 (28) ◽  
pp. 5483-5487
Author(s):  
T. KLEIMANN ◽  
M. SASSETTI ◽  
B. KRAMER
Keyword(s):  
Quantum Dot ◽  
Temperature Dependence ◽  
Power Law ◽  
Finite Temperature ◽  
Coulomb Blockade ◽  
Quantum Wires ◽  
Luttinger Liquid ◽  
Electron Interaction ◽  
One Dimensional ◽  
Liquid Model

The temperature dependence of Coulomb blockade peaks of a one dimensional quantum dot is calculated. The Coulomb interaction is treated microscopically using the Luttinger liquid model. The electron interaction is assumed to be non-homogeneous with a maximum strength near the quantum dot. The conductance peaks show non-analytic power law behaviour induced by the interaction. It is shown that there is a crossover in the power law which is related to the inhomogeneity of the interaction.

QUANTUM HALL EDGE PHYSICS AND ITS ONE-DIMENSIONAL LUTTINGER LIQUID DESCRIPTION

2012 ◽  
Vol 26 (22) ◽  
pp. 1244001 ◽  
Author(s):  
ORION CIFTJA
Keyword(s):  
Correlation Function ◽  
Power Law ◽  
Quantum Hall ◽  
Luttinger Liquid ◽  
Edge States ◽  
One Dimensional ◽  
Liquid Model ◽  
Experimental Values ◽  
The One ◽  
The Relationship

We describe the relationship between quantum Hall edge states and the one-dimensional Luttinger liquid model. The Luttinger liquid model originated from studies of one-dimensional Fermi systems, however, it results that many ideas inspired by such a model can find applications to phenomena occurring even in higher dimensions. Quantum Hall systems which essentially are correlated two-dimensional electronic systems in a strong perpendicular magnetic field have an edge. It turns out that the quantum Hall edge states can be described by a one-dimensional Luttinger model. In this work, we give a general background of the quantum Hall and Luttinger liquid physics and then point out the relationship between the quantum Hall edge states and its one-dimensional Luttinger liquid representation. Such a description is very useful given that the Luttinger liquid model has the property that it can be bosonized and solved. The fact that we can introduce a simpler model of noninteracting bosons, even if the quantum Hall edge states of electrons are interacting, allows one to calculate exactly various quantities of interest. One such quantity is the correlation function which, in the asymptotic limit, is predicted to have a power law form. The Luttinger liquid model also suggests that such a power law exponent should have a universal value. A large number of experiments have found the quantum Hall edge states to show behavior consistent with a Luttinger liquid description. However, while a power law dependence of the correlation function has been observed, the experimental values of the exponent appear not to be universal. This discrepancy might be due to various correlation effects between electrons that sometimes are not easy to incorporate within a standard Luttinger liquid model.

ENHANCED POWER-LAW SINGULARITY BY LIGHT FIELD IN QUANTUM WIRES

2001 ◽  
Vol 15 (28n30) ◽  
pp. 3805-3808
Author(s):  
JUN-ICHI INOUE ◽  
AKIRA SHIMIZU
Keyword(s):  
Power Law ◽  
Electron Correlation ◽  
Pump Beam ◽  
Linear Response ◽  
Light Field ◽  
Nonlinear Optical Property ◽  
Quantum Wires ◽  
Linear Response Theory ◽  
Response Functions ◽  
One Dimensional

We discuss an interplay of light field and electron interactions in one-dimensional systems. After constructing the Hamiltonian that includes the effect of a pump beam, probe absorption is discussed using the linear response theory with the bosonization technique. This describes a nonlinear optical property of the system. We show that (1) the absorption spectrum of the probe beam follows a power-law and (2) the power depends on the intensity of the pump beam, where electron correlation plays important roles. The result can be applied to other response functions, e.g. for transport phenomena.

Power-law behavior in electron transport through a quantum dot with Luttinger liquid leads

2014 ◽  
Vol 87 (8) ◽  
Author(s):  
Kai-Hua Yang ◽  
Xian He ◽  
Huai-Yu Wang ◽  
Kai-Di Liu ◽  
Bei-Yun Liu
Keyword(s):  
Electron Transport ◽  
Quantum Dot ◽  
Power Law ◽  
Luttinger Liquid

scholarly journals Probing Spin-Charge Separation in a Tomonaga-Luttinger Liquid

Science ◽  
2009 ◽  
Vol 325 (5940) ◽  
pp. 597-601 ◽  
Author(s):  
Y. Jompol ◽  
C. J. B. Ford ◽  
J. P. Griffiths ◽  
I. Farrer ◽  
G. A. C. Jones ◽  
...  
Keyword(s):  
Power Law ◽  
Charge Separation ◽  
Luttinger Liquid ◽  
Interaction Effects ◽  
Low Energy ◽  
One Dimensional ◽  
Energy Regime ◽  
Low Energies ◽  
Interacting Electrons

In a one-dimensional (1D) system of interacting electrons, excitations of spin and charge travel at different speeds, according to the theory of a Tomonaga-Luttinger liquid (TLL) at low energies. However, the clear observation of this spin-charge separation is an ongoing challenge experimentally. We have fabricated an electrostatically gated 1D system in which we observe spin-charge separation and also the predicted power-law suppression of tunneling into the 1D system. The spin-charge separation persists even beyond the low-energy regime where the TLL approximation should hold. TLL effects should therefore also be important in similar, but shorter, electrostatically gated wires, where interaction effects are being studied extensively worldwide.

Sign in / Sign up

Export Citation Format

Share Document