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.

Hydrodynamic mode of a magnetic heat energy. Application of the linear response theory to a simple magnetic system

1970 ◽  
Vol 48 (3) ◽  
pp. 283-296
Author(s):  
K. C. Lee
Keyword(s):  
Linear Response ◽  
Magnetic System ◽  
Linear Response Theory ◽  
Thermodynamic Quantities ◽  
Response Theory ◽  
Hydrodynamic Mode ◽  
One Dimensional ◽  
Thermal Disturbance ◽  
Set Up ◽  
The One

The hydrodynamic mode of heat in a simple magnetic system has been studied using linear response theory. The initial thermal disturbance has been set up by mechanical means. Expressions for local thermodynamic quantities analogous to the fluid system have been obtained. These results are used for the derivation of the hydrodynamic equation for the one-dimensional spin-[Formula: see text]X–Y model for which exact equilibrium correlation functions are calculable. The local temperature satisfies the wave equation indicating the existence of second sound in this model.

Atomic transport via point defects in crystals V. Equivalence of kinetic and linear response theories

1987 ◽  
Vol 413 (1845) ◽  
pp. 429-441 ◽  
Keyword(s):  
Kinetic Theory ◽  
Point Defects ◽  
Linear Response ◽  
Transport Coefficients ◽  
Linear Response Theory ◽  
Time Dependent ◽  
Defects In Crystals ◽  
Response Functions ◽  
Atomic Transport ◽  
Solute Atoms

Earlier papers in this series have presented a general formulation of the kinetic theory of isothermal atomic transport via point defects. This has been used to derive expressions for the macroscopic transport coefficients and to analyse the response to time-dependent fields in terms of parameters characterizing the defects and their interaction with solute atoms, etc. In this paper it is shown that these transport coefficients and response functions are invariant with respect to a class of transformations of the quantities representing the defect displacements in all the transitions considered. In this way the exact equivalence of these results of kinetic theory to corresponding results of the linear response theory of Allnatt and Okamura is demonstrated.

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.

Transient convective diffusion to a uniformly accessible surface under aparent slip conditions

1991 ◽  
Vol 56 (2) ◽  
pp. 334-343
Author(s):  
Ondřej Wein
Keyword(s):  
Power Law ◽  
Analytical Solutions ◽  
Convective Diffusion ◽  
Active Surface ◽  
Velocity Profiles ◽  
One Dimensional ◽  
Slip Conditions ◽  
Accessible Surface ◽  
Diffusion Problems

Analytical solutions are given to a class of unsteady one-dimensional convective-diffusion problems assuming power-law velocity profiles close to the transport-active surface.

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