Classical Representation and Scaling Property of the Kondo, Hubbard and Anderson Hamiltonians, and Quantal Random Systems
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Classical representations of the Hubbard, Anderson and Kondo Hamiltonians are given using generalized Trotter's formula. These make possible Monte Carlo simulations of such quantal systems. From these classical representations, the scaling property and cross-over effect are discussed on the basis of Fisher's finite-size scaling theory which has been established by the present author in the renormalization group approach. This gives the simplest global explanation of the Kondo effect. Namely, the Kondo temperature is equal to the inverse correlation length in the equivalent classical lattice. This divides the J-T plane into two regimes; namely, strong-coupling (singlet-like for J<0) regime and weak-coupling regime. A general formulation of quantal random systems is also given.
- 理論物理学刊行会の論文
- 1977-09-25
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