Peierls Proof of Spontaneous Magnetization in a Two-Dimensional Ising Ferromagnet

1964 ◽  
Vol 136 (2A) ◽  
pp. A437-A439 ◽  
Author(s):  
Robert B. Griffiths

Nano Letters ◽  
2021 ◽  
Author(s):  
Mengting Zhao ◽  
Bin-Bin Chen ◽  
Yilian Xi ◽  
Yanyan Zhao ◽  
Hang Xu ◽  
...  








1975 ◽  
Vol 12 (1) ◽  
pp. 191-197 ◽  
Author(s):  
J. Als-Nielsen ◽  
L. M. Holmes ◽  
F. Krebs Larsen ◽  
H. J. Guggenheim


1996 ◽  
Vol 74 (1-2) ◽  
pp. 54-64 ◽  
Author(s):  
D. D. Betts ◽  
S. Masui ◽  
N. Vats ◽  
G. E. Stewart

The well-known finite-lattice method for the calculation of the properties of quantum spin systems on a two-dimensional lattice at zero temperature was introduced in 1978. The method has now been greatly improved for the square lattice by including finite lattices based on parallelogram tiles as well as the familiar finite lattices based on square tiles. Dozens of these new finite lattices have been tested and graded using the [Formula: see text] ferromagnet. In the process new and improved estimates have been obtained for the XY model's ground-state energy per spin, ε0 = −0.549 36(30) and spontaneous magnetization per spin, m = 0.4349(10). Other properties such as near-neighbour, zero-temperature spin–spin correlations, which appear not to have been calculated previously, have been estimated to high precision. Applications of the improved finite-lattice method to other models can readily be carried out.



2017 ◽  
Vol 95 (3) ◽  
Author(s):  
Victor Dotsenko ◽  
Yurij Holovatch ◽  
Maxym Dudka ◽  
Martin Weigel


2012 ◽  
Vol 601 ◽  
pp. 89-93
Author(s):  
Bin Zhou Mi ◽  
Yong Hong Xue ◽  
Huai Yu Wang ◽  
Yun Song Zhou ◽  
Xiao Lan Zhong

In this paper, the magnetic properties of ferromagnetic graphene nanostructures, especially the dependence of the magnetism on finite temperature, are investigated by use of the many-body Green’s function method of quantum statistical theory. The spontaneous magnetization increases with spin quantum number, and decreases with temperature. Curie temperature increases with exchange parameter J or the strength K2 of single-ion anisotropy and spin quantum number. The Curie temperature TC is directly proportional to the exchange parameter J. The spin-wave energy drops with temperature rising, and becomes zero as temperature reaches Curie temperature. As J(p,q)=0, ω1=ω2, the spin wave energy is degenerate, and the corresponding vector k=(p, q) is called the Dirac point. This study contributes to theoretical analysis for pristine two-dimensional magnetic nanomaterials that may occur in advanced experiments.



2012 ◽  
Vol 51 (47) ◽  
pp. 11745-11749 ◽  
Author(s):  
Houria Kabbour ◽  
Rénald David ◽  
Alain Pautrat ◽  
Hyun-Joo Koo ◽  
Myung-Hwan Whangbo ◽  
...  


Sign in / Sign up

Export Citation Format

Share Document