THERMODYNAMIC PROPERTIES OF AN ELECTRON GAS SYSTEM TRAPPED WITHIN VARIOUS SHAPES OF POTENTIALS

2012 ◽  
Vol 26 (26) ◽  
pp. 1250152 ◽  
Author(s):  
BERNA GÜLVEREN
Keyword(s):  
Thermodynamic Properties ◽  
Physical Properties ◽  
Total Energy ◽  
Coulomb Potential ◽  
Chemical Potential ◽  
Electron Gas ◽  
Particle Interactions ◽  
Two Dimensional ◽  
Confining Potential ◽  
Gas System

The Thomas–Fermi (TF) equation is solved numerically for an electron gas system that interacts via the Coulomb potential. An emphasis is placed on how certain physical properties, such as the chemical potential and the total energy, change with the shape of the confinement at finite temperatures. By comparing these results with the results calculated for the noninteracting case, we are able to analyze how the inter-particle forces affect the thermodynamic properties of electrons. It is shown that the total energy and other properties of an electron gas is very sensitive to the particle interactions and the shape of the confining potential, even at high temperatures. The results are also applicable to nanostructures like two-dimensional quantum dot systems, wires.

THERMAL PROPERTIES OF INTERACTING ELECTRON GAS IN A HARMONIC POTENTIAL

2012 ◽  
Vol 26 (03) ◽  
pp. 1250029 ◽  
Author(s):  
BERNA GÜLVEREN
Keyword(s):  
Free Energy ◽  
Thermal Properties ◽  
Total Energy ◽  
Excellent Agreement ◽  
Electron Gas ◽  
Harmonic Potential ◽  
Two Dimensional ◽  
Density Dependent ◽  
Thomas Fermi ◽  
Gas System

In this work, the thermal properties, such as total energy, pressure and free energy of an interacting electron gas system have been investigated. The Thomas–Fermi equation was numerically solved for a harmonically confined, two-dimensional gas system at finite temperatures. Numerical results were compared with analytical ones provided by the literature for a non-interacting case at finite temperatures and for a interacting case at T = 0 K . Excellent agreement was achieved for both cases. The results indicate that interactions affect the density of particles and hence, the density-dependent thermal functions significantly.

scholarly journals On the Heat Capacity of a Quasi-Two-Dimensional Electron Gas

2019 ◽  
Vol 2019 ◽  
pp. 1-6
Author(s):  
P. J. Baymatov ◽  
A. G. Gulyamov ◽  
B. T. Abdulazizov
Keyword(s):  
Heat Capacity ◽  
Thermodynamic Properties ◽  
Density Of States ◽  
Chemical Potential ◽  
Electron Gas ◽  
Temperature Derivative ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Dimensional Electron Gas

Numerical and analytical results of the investigation of the thermodynamic properties of a quasi-2D electron gas are presented. The density of states, the temperature derivative of the chemical potential, and the heat capacity of the gas at the resonance points and away from it are analyzed. It is shown that, in the dependence of the heat capacity on the chemical potential, there are additional steps at the resonance points. The width of the additional steps increases with temperature. With the increase in temperature, when the main steps are practically blurred, there are still visible marks from the additional steps.

scholarly journals Thermodynamics of Two-Dimensional Electron Gas in a Magnetic Field

2011 ◽  
Vol 2011 ◽  
pp. 1-4 ◽  
Author(s):  
V. I. Nizhankovskii
Keyword(s):  
Magnetic Field ◽  
Equation Of State ◽  
Magnetic Fields ◽  
Chemical Potential ◽  
Electron Gas ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Gas Well ◽  
Dimensional Electron Gas

Change of the chemical potential of electrons in a GaAs-AlxGa1−xAs heterojunction was measured in magnetic fields up to 6.5 T at several temperatures from 2.17 to 12.3 K. A thermodynamic equation of state of two-dimensional electron gas well describes the experimental results.

Spin-valve effects in a two-dimensional electron gas system

2000 ◽  
Vol 6 (1-4) ◽  
pp. 718-721 ◽  
Author(s):  
S Gardelis ◽  
C.G Smith ◽  
W.Y Lee ◽  
C.H.W Barnes ◽  
E.H Linfield ◽  
...  
Keyword(s):  
Electron Gas ◽  
Spin Valve ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
Gas System ◽  
Dimensional Electron Gas
Sign in / Sign up

Export Citation Format

Share Document