スピン系の相転移・臨界現象
,非平衡定常系の熱力学の構築
,量子統計力学の基礎づけ
,強相関電子系における強磁性の起源
,量子多体系
,数理物理学
,phase transition and critical phenomena in spin systems
,construction of thermodynamics for nonequilibrium steady state
,foundation of quantum statistical mechanics
,origin of ferromagnetism in strongly interacting electron systems
,quantum many-body systems
,mathematical physics
JOURNAL OF STATISTICAL PHYSICS 84(3-4) 535-653 1996年8月
Whether spin-independent Coulomb interaction in an electron system can be the origin of ferromagnetism has been an open problem for a long time. Recently, a ''constructive'' approach to this problem has been developed, and the existence of ferroma...
Journal of Statistical Physics 84(3-4) 535-653 1996年
Whether spin-independent Coulomb interaction in an electron system can be the origin of ferromagnetism has been an open problem for a long time. Recently, a "constructive" approach to this problem has been developed, and the existence of ferromagn...
We present the first rigorous examples of nonsingular Hubbard models which exhibit ferromagnetism at zero temperature. The models are defined in arbitrary dimensions, and are characterized by finite-range hoppings, dispersive bands, and finite on-...