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On the parafermionic scattering of an integrable Heisenberg model with impurity

1994/02/21 by M. J. Martins, M.J. Martins
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Antiferromagnetism #Boundary value problem #Degeneracy (biology) #Heisenberg model #Impurity #Integrable system #Invariant (physics) #Mathematical physics #Nonlinear Waves and Solitons #Physics #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Scattering #Scattering amplitude #Spin (aerodynamics) #Thermodynamics #cond-mat

paper · pdf · doi:10.1016/0550-3213(94)90025-6

14 pages, UFSCARF-TH-94-4

arxiv created 1994/02/21 · openalex publication_date 1994/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We have studied the massive parafermionic sector of an integrable spin-s chain with an impurity of spin-s' in presence of a magnetic field. The effect of the impurity is encoded in a computable parafermionic impurity scattering amplitude and its contribution to the finite size properties of the free energy is discussed. As an example we compute the non-integer degeneracy of the ground state. For the simplest model of s=1 and s'=1/2, its interpretation in terms of conformally invariant boundary conditions is presented.

Citations