Geodesic
Quantum Heisenberg antiferromagnet on low-dimensional frustrated lattices
Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 3, pp. 441-452

Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate low-temperature magnetization processes for two frustrated quantum Heisenberg antiferromagnets using the lattice gas model. The emerging discrete degrees of freedom indicate a close relation of the frustrated quantum Heisenberg antiferromagnet to the classical lattice gas with a finite nearest-neighbor repulsion or, equivalently, to the Ising antiferromagnet in a uniform magnetic field. Using this relation, we obtain analytic results for thermodynamically large systems in the one-dimensional case. In the two-dimensional case, we simulate systems of the size up to $100\times100$ sites using the classical Monte Carlo method.
Keywords: Heisenberg quantum antiferromagnet, frustrated lattice, magnetization process. 
@article{TMF_2011_168_3_a6,
     author = {O. V. Derzhko and T. E. Krokhmalskii and J. Richter},
     title = {Quantum {Heisenberg} antiferromagnet on low-dimensional frustrated lattices},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {441--452},
     publisher = {mathdoc},
     volume = {168},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2011_168_3_a6/}
}
TY  - JOUR
AU  - O. V. Derzhko
AU  - T. E. Krokhmalskii
AU  - J. Richter
TI  - Quantum Heisenberg antiferromagnet on low-dimensional frustrated lattices
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2011
SP  - 441
EP  - 452
VL  - 168
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2011_168_3_a6/
LA  - ru
ID  - TMF_2011_168_3_a6
ER  - 
%0 Journal Article
%A O. V. Derzhko
%A T. E. Krokhmalskii
%A J. Richter
%T Quantum Heisenberg antiferromagnet on low-dimensional frustrated lattices
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2011
%P 441-452
%V 168
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2011_168_3_a6/
%G ru
%F TMF_2011_168_3_a6
O. V. Derzhko; T. E. Krokhmalskii; J. Richter. Quantum Heisenberg antiferromagnet on low-dimensional frustrated lattices. Teoretičeskaâ i matematičeskaâ fizika, Tome 168 (2011) no. 3, pp. 441-452. http://geodesic.mathdoc.fr/item/TMF_2011_168_3_a6/