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Exact Solution of the Infinite-Range Quantum Mattis Model | | P. Sollich
; Hidetoshi Nishimori
; A. C. C. Coolen
; A. J. van der Sijs
; | | Date: |
8 May 2000 | | Journal: | J. Phys. Soc. Jpn. 69 (2000) 3200 | | Subject: | Disordered Systems and Neural Networks; Statistical Mechanics | cond-mat.dis-nn cond-mat.stat-mech | | Abstract: | 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. | | Source: | arXiv, cond-mat/0005125 | | Services: | Forum | Review | PDF | Favorites | |
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