Reply to comment on `Integrable Kondo impurity in one-dimensional q-deformed t - J models

摘要: This is a reply to the comment by P Schlottmann and A Zvyagin. PACS numbers: 71.10.Fd, 71.27, 75.10.Jm In their [1], Zvyagin raise several issues regarding nature of integrable impurities in one-dimensional quantum lattice models, claim expose false statements our recent paper [2]. order address these pedagogical manner, we feel that it appropriate discuss questions terms models based on gl(2|1) invariant solution Yang–Baxter equation. However, important from outset make clear arguments present below are general apply other classes models. The first point would like claimed [1] there two approaches algebraic Bethe ansatz. appears us approach (i) described (2) coordinate ansatz do not understand why this should be referred as an approach, one starts with prescribed Hamiltonian then solves Schrodinger equation obtain two-particle scattering matrices particle–impurity matrix. Together form monodromy It impossible infer such context (1) answers query about existence impurity matrix (ii) [1]. Hereafter, focus attention case. R12(u− v)R13(u)R23(v) = R23(v)R13(u)R12(u− v) associated Lie superalgebra operator R(u) ∈ End (V ⊗ V ), where three-dimensional Z2-graded space bosonic fermionic degrees freedom. Explicitly, takes u · I + permutation operator. For purposes constructing systems closed lattice, usual introduce 0305-4470/02/296197+05$30.00 © 2002 IOP Publishing Ltd Printed UK 6197