Finite-Temperature thermodynamics for the modified hartree-fock electron gas

1967 ◽  
Vol 48 (1) ◽  
pp. 127-133 ◽  
Author(s):  
R. N. Stuart ◽  
J. L. Schwartz
Keyword(s):  
Finite Temperature ◽  
Electron Gas ◽  
Hartree Fock

Finite Temperature Many-Particle Theory of Condensed Matter Systems in the Functional Schrödinger Picture

1997 ◽  
Vol 11 (15) ◽  
pp. 1829-1837 ◽  
Author(s):  
Hyun Sik Noh ◽  
Sang Koo You ◽  
Chul Koo Kim
Keyword(s):  
Density Matrix ◽  
Finite Temperature ◽  
Condensed Matter ◽  
Electron Gas ◽  
Equation Of Motion ◽  
Future Prospects ◽  
Particle Theory ◽  
Hartree Fock ◽  
Present Formalism ◽  
Schrödinger Picture

A finite temperature many-particle theory of condensed matter systems is formulated using the functional Schrödinger picture. Using the interacting electron gas as a model system, we solve the equation of motion for the density matrix variationally with a Gaussian type trial density matrix. We show that the present formalism yields the finite temperature Hartree–Fock results both for the para- and ferromagnetic states in a simple and convenient fashion. Implications of the present results and future prospects are also discussed.

scholarly journals Pairing phase transition: A finite-temperature relativistic Hartree-Fock-Bogoliubov study

2015 ◽  
Vol 92 (1) ◽  
Author(s):  
Jia Jie Li ◽  
Jérôme Margueron ◽  
Wen Hui Long ◽  
Nguyen Van Giai
Keyword(s):  
Phase Transition ◽  
Finite Temperature ◽  
Hartree Fock

NOVEL ELECTRON GAS SYSTEMS

1999 ◽  
Vol 13 (05n06) ◽  
pp. 479-488 ◽  
Author(s):  
GAETANO SENATORE ◽  
F. RAPISARDA ◽  
S. CONTI
Keyword(s):  
Phase Diagram ◽  
Quantum Wells ◽  
Recent Progress ◽  
Electron Gas ◽  
Total Charge ◽  
Diffusion Monte Carlo ◽  
Electron Hole ◽  
Coupled Quantum Wells ◽  
Hartree Fock ◽  
The Ideal

We review recent progress on the physics of electrons in the bilayered electron gas, relevant to coupled quantum wells in GaAs/AlGaAs heterostructures. First, we focus on the phase diagram of a symmetric bilayer at T=B=0, obtained by diffusion Monte Carlo simulations. It is found that inter–layer correlations stabilize crystalline structures at intermediate inter–layer separation, while favouring a liquid phase at smaller distance. Also, the available DMC evidence is in contrast with the recently (Hartree–Fock) predicted total charge transfer (TCT), whereby all the electron spontaneously jump in one layer. In fact, one can show that such a TCT state is never stable in the ideal bilayer with no tunneling. We finally comment on ongoing DMC investigations on the electron-hole bilayer, where excitonic condensation is expected to take place.

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