Self‐consistent integral equation applied to the highly charged primitive model

1988 ◽  
Vol 88 (8) ◽  
pp. 5143-5148 ◽  
Author(s):  
Luc Belloni
Keyword(s):  
Integral Equation ◽  
Primitive Model ◽  
Self Consistent

Phase stability of binary non‐additive hard‐sphere mixtures: A self‐consistent integral equation study

1996 ◽  
Vol 104 (11) ◽  
pp. 4180-4188 ◽  
Author(s):  
E. Lomba ◽  
M. Alvarez ◽  
L. L. Lee ◽  
N. G. Almarza
Keyword(s):  
Integral Equation ◽  
Phase Stability ◽  
Hard Sphere ◽  
Self Consistent

scholarly journals A self-consistent integral equation study of the structure and thermodynamics of the penetrable sphere fluid

2000 ◽  
Vol 112 (2) ◽  
pp. 810-816 ◽  
Author(s):  
Maria-Jose Fernaud ◽  
Enrique Lomba ◽  
Lloyd L. Lee
Keyword(s):  
Integral Equation ◽  
Self Consistent

A SELF-CONSISTENT ANALYTIC THEORY OF THE SPIN BIPOLARON IN THE t–J MODEL

2000 ◽  
Vol 14 (08) ◽  
pp. 809-835
Author(s):  
HEINZ BARENTZEN ◽  
VIKTOR OUDOVENKO
Keyword(s):  
Integral Equation ◽  
Eigenvalue Problem ◽  
Bound States ◽  
Numerical Solutions ◽  
P Wave ◽  
Linear Integral Equation ◽  
Soluble Form ◽  
Coupled Equations ◽  
Self Consistent ◽  
D Wave

The spin bipolaron in the t–J model, i.e., two holes interacting with an antiferromagnetic spin background, is treated by an extension of the self-consistent Born approximation (SCBA), which has proved to be very accurate in the single-hole (spin polaron) problem. One of the main ingredients of our approach is the exact form of the bipolaron eigenstates in terms of a complete set of two-hole basis vectors. This enables us to eliminate the hole operators and to obtain the eigenvalue problem solely in terms of the boson (magnon) operators. The eigenvalue equation is then solved by a procedure similar to Reiter's construction of the single-polaron wave function in the SCBA. As in the latter case, the eigenvalue problem comprises a hierarchy of infinitely many coupled equations. These are brought into a soluble form by means of the SCBA and an additional decoupling approximation, whereupon the eigenvalue problem reduces to a linear integral equation involving the bipolaron self-energy. The numerical solutions of the integral equation are in quantitative agreement with the results of previous numerical studies of the problem. The d-wave bound state is found to have the lowest energy with a critical value J/t| c ≈ 0.4. In contrast to recent claims, we find no indication for a crossover between the d-wave and p-wave bound states.

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