Mean-field solution of a spherical model for Heisenberg spins with complicated coupling

1983 ◽  
Vol 28 (5) ◽  
pp. 2827-2838 ◽  
Author(s):  
K. G. Chakraborty
Keyword(s):  
Mean Field ◽  
Spherical Model ◽  
Field Solution

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

Approximate Solutions

2020 ◽  
pp. 106-158
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Random Walk ◽  
Mean Field ◽  
Gaussian Model ◽  
Spherical Model ◽  
Approximate Solutions ◽  
Field Approximation ◽  
Approximation Schemes ◽  
Mean Field Approximation ◽  
Exactly Solvable ◽  
The Subject

Chapter 3 discusses the approximation schemes used to approach lattice statistical models that are not exactly solvable. In addition to the mean field approximation, it also considers the Bethe–Peierls approach to the Ising model. Moreover, there is a thorough discussion of the Gaussian model and its spherical version, both of which are two important systems with several points of interest. A chapter appendix provides a detailed analysis of the random walk on different lattices: apart from the importance of the subject on its own, it explains how the random walk is responsible for the critical properties of the spherical model.

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
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