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
Recently certain Hubbard models with flat lowest bands were proved to exhibit ferromagnetism. Here we study perturbed models with nearly flat bands. We prove that the ferromagnetic state is stable against a single-spin flip for sufficiently large ...
JOURNAL OF STATISTICAL PHYSICS 76(3-4) 745-803 1994年8月
We consider a quantum many-body system on a lattice which exhibits a spontaneous symmetry breaking in its infinite-volume ground states, but in which the corresponding order operator does not commute with the Hamiltonian. Typical examples are the ...
Journal of Statistical Physics 76(3-4) 745-803 1994年8月
We consider a quantum many-body system on a lattice which exhibits a spontaneous symmetry breaking in its infinite-volume ground states, but in which the corresponding order operator does not commute with the Hamiltonian. Typical examples are the ...
人文科学研究科
理学部