Using variational algorithm on an infinite Shastry-Sutherland (SS) lattice we show that the introduction of a static nonmagnetic impurity into a dimerized ground state leads to a formation of a small, localized spin polaron surrounding the impurity site. Due to a particular symmetry of the SS lattice, the polaron is extremely anisotropic with a short spatial extent. The presence of nonmagnetic impurities leads to a formation of pronounced in-gap peaks in the dynamical spin structure factor, which we attribute to the spin-doublet excitations of a single unpaired spin $S=1∕2$ surrounded by triplet fluctuations. Our results are relevant for the description of $\mathrm{Sr}{\mathrm{Cu}}_{2}{(\mathrm{B}{\mathrm{O}}_{3})}_{2}$ compound when doped with nonmagnetic atoms at Cu sites.Using variational algorithm on an infinite Shastry-Sutherland (SS) lattice we show that the introduction of a static nonmagnetic impurity into a dimerized ground state leads to a formation of a small, localized spin polaron surrounding the impurity site. Due to a particular symmetry of the SS lattice, the polaron is extremely anisotropic with a short spatial extent. The presence of nonmagnetic impurities leads to a formation of pronounced in-gap peaks in the dynamical spin structure factor, which we attribute to the spin-doublet excitations of a single unpaired spin $S=1∕2$ surrounded by triplet fluctuations. Our results are relevant for the description of $\mathrm{Sr}{\mathrm{Cu}}_{2}{(\mathrm{B}{\mathrm{O}}_{3})}_{2}$ compound when doped with nonmagnetic atoms at Cu sites.

arXiv:cond-mat/0607753Physical Review BNov 17, 20069 citations

From fermionic spin-Calogero-Sutherland models to the Haldane-Shastry chain by freezing

Jules Lamers, Didina Serban

The Haldane-Shastry spin chain has a myriad of remarkable properties, including Yangian symmetry and, for spin $1/2$ , explicit highest-weight eigenvectors featuring (the case $α= 1/2$ of) Jack polynomials. This stems from the spin-Calogero-Sutherland model, which reduces to Haldane-Shastry in a special `freezing' limit. In this work we clarify various points that, to the best of our knowledge, were missing in the literature. We have two main results. First, we show that freezing the $\mathit{fermionic}$ spin-1/2 Calogero-Sutherland model naturally accounts for the precise form of the Haldane-Shastry wave functions, including the Vandermonde factor squared. Second, we use the fermionic framework to prove the claim of Bernard-Gaudin-Haldane-Pasquier that the Yangian highest-weight eigenvectors of the $SU(r)$ -version of the Haldane-Shastry chain arise by freezing $SU(r-1)$ spin-Calogero-Sutherland eigenvectors at $α= 1/2$ .The Haldane-Shastry spin chain has a myriad of remarkable properties, including Yangian symmetry and, for spin $1/2$, explicit highest-weight eigenvectors featuring (the case $α= 1/2$ of) Jack polynomials. This stems from the spin-Calogero-Sutherland model, which reduces to Haldane-Shastry in a special `freezing' limit. In this work we clarify various points that, to the best of our knowledge, were missing in the literature. We have two main results. First, we show that freezing the $\mathit{fermionic}$ spin-1/2 Calogero-Sutherland model naturally accounts for the precise form of the Haldane-Shastry wave functions, including the Vandermonde factor squared. Second, we use the fermionic framework to prove the claim of Bernard-Gaudin-Haldane-Pasquier that the Yangian highest-weight eigenvectors of the $SU(r)$-version of the Haldane-Shastry chain arise by freezing $SU(r-1)$ spin-Calogero-Sutherland eigenvectors at $α= 1/2$.

arXiv:2212.01373Dec 2, 20220 citations

S=1∕2

surrounded by triplet fluctuations. Our results are relevant for the description of

\mathrm{Sr}{\mathrm{Cu}}_{2}{(\mathrm{B}{\mathrm{O}}_{3})}_{2}

compound when doped with nonmagnetic atoms at Cu sites.

The Haldane-Shastry spin chain has a myriad of remarkable properties, including Yangian symmetry and, for spin

1/2

, explicit highest-weight eigenvectors featuring (the case

α= 1/2

of) Jack polynomials. This stems from the spin-Calogero-Sutherland model, which reduces to Haldane-Shastry in a special `freezing' limit. In this work we clarify various points that, to the best of our knowledge, were missing in the literature. We have two main results. First, we show that freezing the

\mathit{fermionic}

spin-1/2 Calogero-Sutherland model naturally accounts for the precise form of the Haldane-Shastry wave functions, including the Vandermonde factor squared. Second, we use the fermionic framework to prove the claim of Bernard-Gaudin-Haldane-Pasquier that the Yangian highest-weight eigenvectors of the

SU(r)

-version of the Haldane-Shastry chain arise by freezing

SU(r-1)

spin-Calogero-Sutherland eigenvectors at

α= 1/2