Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-05-04
Physical Review B 82, 104406 (2010)
Physics
Condensed Matter
Strongly Correlated Electrons
21 pages, 8 figures
Scientific paper
10.1103/PhysRevB.82.104406
The coupled cluster method is applied to a spin-half model at zero temperature ($T=0$), which interpolates between Heisenberg antiferromagnets (HAF's) on a kagome and a square lattice. With respect to an underlying triangular lattice the strengths of the Heisenberg bonds joining the nearest-neighbor (NN) kagome sites are $J_{1} \geq 0$ along two of the equivalent directions and $J_{2} \geq 0$ along the third. Sites connected by $J_{2}$ bonds are themselves connected to the missing NN non-kagome sites of the triangular lattice by bonds of strength $J_{1}' \geq 0$. When $J_{1}'=J_{1}$ and $J_{2}=0$ the model reduces to the square-lattice HAF. The magnetic ordering of the system is investigated and its $T=0$ phase diagram discussed. Results for the kagome HAF limit are among the best available.
Bishop Raymond F.
Campbell C. E.
Farnell Damian J. J.
Li P. H. Y.
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