scholarly journals Mean-field solution of structural balance dynamics in nonzero temperature

2019 ◽  
Vol 99 (6) ◽  
Author(s):  
F. Rabbani ◽  
Amir H. Shirazi ◽  
G. R. Jafari
Keyword(s):  
Mean Field ◽  
Nonzero Temperature ◽  
Structural Balance ◽  
Field Solution ◽  
Balance Dynamics

scholarly journals Mean-field solution for critical behavior of signed networks in competitive balance theory

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
R. Masoumi ◽  
F. Oloomi ◽  
A. Kargaran ◽  
A. Hosseiny ◽  
G. R. Jafari
Keyword(s):  
Critical Behavior ◽  
Mean Field ◽  
Balance Theory ◽  
Competitive Balance ◽  
Signed Networks ◽  
Field Solution

scholarly journals BOSONIC CHERN-SIMONS FIELD THEORY OF ANYON SUPERCONDUCTIVITY

1992 ◽  
Vol 07 (28) ◽  
pp. 2627-2636
Author(s):  
NATHAN WEISS
Keyword(s):  
Field Theory ◽  
Particle Density ◽  
Equations Of Motion ◽  
Mean Field ◽  
Meissner Effect ◽  
Quantum Corrections ◽  
Simple Explanation ◽  
Field Solution ◽  
The Mean ◽  
Chern Simons

We study the quantum field theory of non-relativistic bosons coupled to a Chern-Simons gauge field at nonzero particle density. This field theory is relevant to the study of anyon superconductors in which the anyons are described as bosons with a statistical interaction. We show that it is possible to find a mean field solution to the equations of motion for this system which has some of the features of Bose condensation. The mean field solution consists of a lattice of vortices each carrying a single quantum of statistical magnetic flux. We speculate on the effects of the quantum corrections to this mean field solution. We argue that the mean field solution is only stable under quantum corrections if the Chern-Simons coefficient N=2πθ/g2 is an integer. Consequences for anyon superconductivity are presented. A simple explanation for the Meissner effect in this system is discussed.

scholarly journals Verwey transition in magnetite: Mean‐field solution of the three‐band model

1994 ◽  
Vol 76 (10) ◽  
pp. 6700-6702 ◽  
Author(s):  
S. K. Mishra ◽  
Z. Zhang ◽  
S. Satpathy
Keyword(s):  
Mean Field ◽  
Band Model ◽  
Verwey Transition ◽  
Field Solution

scholarly journals CORRELATED MEAN FIELD ANSATZ FOR THE KONDO NECKLACE

1994 ◽  
Vol 08 (10) ◽  
pp. 1355-1373
Author(s):  
H.Y. KEE ◽  
P. FAZEKAS
Keyword(s):  
Phase Diagram ◽  
Strong Coupling ◽  
Ground State ◽  
Mean Field ◽  
Spin Correlation ◽  
Ground State Phase Diagram ◽  
Field Solution ◽  
Trial State

We study the ground state phase diagram of the pseudospin model introduced by Doniach to describe the essential physics of Kondo lattices. We use variational trial states which augment the usual mean-field solution by incorporating various intersite correlations. A composite spin correlation describing the antiparallel alignment of fluctuating triplets is found to be particularly favorable for large Kondo couplings. With this trial state, the magnetic-to-Kondo transition is suppressed and the strong coupling ground state is ordered with strongly reduced moments. The relevance of the findings is discussed.

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