Exact two particle spectrum of the Heisenberg-Peierls chain
Julio Abad, J. G. Esteve
TL;DR
This paper provides an exact solution for the two-particle spectrum of the Heisenberg-Peierls chain using fermionic representation, with equations similar to Richardson's BCS model, requiring numerical solutions.
Contribution
It introduces an exact fermionic-based method to determine the two-particle spectrum of the Heisenberg-Peierls chain, extending analytical understanding.
Findings
Derived equations for eigenvalues similar to Richardson's BCS model
Provided a framework for numerical solutions of the spectrum
Enhanced understanding of the two-particle properties in the chain
Abstract
The exact solution for the two particle spectrum of the Heisenberg-Peierls one dimensional spin chain is given by working in the fermionic representation. The resulting equations for the eigenvalues are, in some sense, similar to those of the Richardson's solution of the BCS model and must be solved numerically.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Molecular spectroscopy and chirality · Advanced NMR Techniques and Applications