Abstract
The authors propose an integrable spin-1 Heisenberg chain with a boundary spin-1/2 magnetic impurity.
Highlights
The integrability of the model is based on an operator solution of the associated reflection equation
By using the nested algebraic Bethe ansatz, we obtain the exact solution of the system
Low-dimensional quantum many-body problems play an important role in the study of condensed matter, theoretical physics, and statistical mechanics [1]
Summary
Low-dimensional quantum many-body problems play an important role in the study of condensed matter, theoretical physics, and statistical mechanics [1]. Cations in the theories of quantum magnetism, topological physics, stochastic processes in nonequilibrium statistics, and open AdS/CFT duality Many interesting phenomena such as Kondo problems, spiral phases, novel magnetic ordered states, and zero modes induced by boundary fields or magnetic impurities have been found [18,19,20,21,22,23,24,25,26,27,28,29,30,31,32]. Some famous physical pictures such as the Haldane conjecture, where the biquadratic coupling is absent, and symmetry-protected topological phases, where free spin-1/2 is living on the boundaries in the gapped regime, are found [41,42,43] Another interesting finding is that at the AKLT point [44,45], the ground state of the system is.
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