Magnetic order in a spin-1/2 interpolating kagome/square Heisenberg antiferromagnet

R. F. Bishop; P. H.Y. Li; D. J.J. Farnell; C. E. Campbell

doi:10.1103/PhysRevB.82.104406

Magnetic order in a spin-1/2 interpolating kagome/square Heisenberg antiferromagnet

R. F. Bishop, P. H.Y. Li, D. J.J. Farnell, C. E. Campbell

Physics and Astronomy (Twin Cities)

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Abstract

The coupled cluster method is applied to a spin-half model at zero temperature (T=0), which interpolates between Heisenberg antiferromagnets (HAFs) 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 J1 ?0 along two of the equivalent directions and J2 0 along the third. Sites connected by J2 bonds are themselves connected to the missing NN non-kagome sites of the triangular lattice by bonds of strength J1′ 0. When J1′ = J1 and J2 =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.

Original language	English (US)
Article number	104406
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	82
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevB.82.104406
State	Published - Sep 7 2010

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10.1103/PhysRevB.82.104406

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abstract = "The coupled cluster method is applied to a spin-half model at zero temperature (T=0), which interpolates between Heisenberg antiferromagnets (HAFs) 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 J1 ?0 along two of the equivalent directions and J2 0 along the third. Sites connected by J2 bonds are themselves connected to the missing NN non-kagome sites of the triangular lattice by bonds of strength J1′ 0. When J1′ = J1 and J2 =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.",

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AU - Bishop, R. F.

AU - Li, P. H.Y.

AU - Farnell, D. J.J.

AU - Campbell, C. E.

PY - 2010/9/7

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N2 - The coupled cluster method is applied to a spin-half model at zero temperature (T=0), which interpolates between Heisenberg antiferromagnets (HAFs) 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 J1 ?0 along two of the equivalent directions and J2 0 along the third. Sites connected by J2 bonds are themselves connected to the missing NN non-kagome sites of the triangular lattice by bonds of strength J1′ 0. When J1′ = J1 and J2 =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.

AB - The coupled cluster method is applied to a spin-half model at zero temperature (T=0), which interpolates between Heisenberg antiferromagnets (HAFs) 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 J1 ?0 along two of the equivalent directions and J2 0 along the third. Sites connected by J2 bonds are themselves connected to the missing NN non-kagome sites of the triangular lattice by bonds of strength J1′ 0. When J1′ = J1 and J2 =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.

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Magnetic order in a spin-1/2 interpolating kagome/square Heisenberg antiferromagnet

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