Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2009-03-17
Phys. Rev. B 79, 214415 (2009)
Physics
Condensed Matter
Strongly Correlated Electrons
11 pages, submitted to PRB
Scientific paper
10.1103/PhysRevB.79.214415
Motivated by recent nuclear magnetic resonance experiments on ZnCu$_3$(OH)$_6$Cl$_2$, we present an exact-diagonalization study of the combined effects of non-magnetic impurities and Dzyaloshinskii-Moriya (DM) interactions in the $s = 1/2$ kagome antiferromagnet. The local response to an applied field and correlation-matrix data reveal that the dimer freezing which occurs around each impurity for $D = 0$ persists at least up to $D/J\simeq 0.06$, where $J$ and $D$ denote respectively the exchange and DM interaction energies. The phase transition to the ($Q = 0$) semiclassical, 120$^\circ$ state favored at large $D$ takes place at $D/J\simeq 0.1$. However, the dimers next to the impurity sites remain strong up to values $D \sim J$, far above this critical point, and thus do not participate fully in the ordered state. We discuss the implications of our results for experiments on ZnCu$_3$(OH)$_6$Cl$_2$.
Läuchli Andreas M.
Manmana Salvatore R.
Mila Frédéric
Normand Bruce
Rousochatzakis Ioannis
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