Physics – Condensed Matter
Scientific paper
1994-09-22
Physics
Condensed Matter
38 pages, RevTex. 2 new sections clarify the circumstances under which a model will exhibit the non-trivial critical point (he
Scientific paper
10.1103/PhysRevB.52.9528
Numerical renormalization group and conformal field theory work indicate that the two impurity Kondo Hamiltonian has a non-Fermi liquid critical point separating the Kondo-screening phase from the inter-impurity singlet phase when particle-hole (P-H) symmetry is maintained. We clarify the circumstances under which this critical point occurs, pointing out that there are two types of P-H symmetry. Only one of them guarantees the occurance of the critical point. Much of the previous numerical work was done on models with the other type of P-H symmetry. We analyse this critical point using the boundary conformal field theory technique. The finite-size spectrum is presented in detail and compared with about 50 energy levels obtained using the numerical renormalization group. Various Green's functions, general renormalization group behaviour, and a hidden $SO(7)$ are analysed.
Affleck Ian
Jones Barbara A.
Ludwig Andreas W. W.
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