Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2000-05-08
J. Phys. Soc. Jpn. 69 (2000) 3200
Physics
Condensed Matter
Disordered Systems and Neural Networks
14 pages, 11 figures
Scientific paper
We have solved the quantum version of the Mattis model with infinite-range interactions. A variational approach gives the exact solution for the infinite-range system, in spite of the non-commutative nature of the quantum spin components; this implies that quantum effects are not predominant in determining the macroscopic properties of the system. Nevertheless, the model has a surprisingly rich phase behaviour, exhibiting phase diagrams with tricritical, three-phase and critical end points.
Coolen Anthony C. C.
der Sijs J. van A.
Nishimori Hidetoshi
Sollich Peter
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