Type-I integrable quantum impurities in the Heisenberg model
Anastasia Doikou
TL;DR
This paper studies Type-I quantum impurities in the integrable Heisenberg model, computing transmission matrices using Bethe ansatz for various spin chains and identifying breather transmission amplitudes.
Contribution
It introduces a detailed analysis of Type-I impurities linked to the (q)-harmonic oscillator algebra within integrable spin chains, providing explicit transmission matrices.
Findings
Transmission matrices computed for XXX and XXZ models.
Transmission amplitudes for breathers identified in the attractive regime.
Impurities characterized by the (q)-harmonic oscillator algebra.
Abstract
Type-I quantum impurities are investigated in the context of the integrable Heisenberg model. This type of defects is associated to the (q)-harmonic oscillator algebra. The transmission matrices associated to this particular type of defects are computed via the Bethe ansatz methodology for the XXX model, as well as for the critical and non-critical XXZ spin chain. In the attractive regime of the critical XXZ spin chain the transmission amplitudes for the breathers are also identified.
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