Temperature Dependence of the Magnetic Susceptibility for Triangular-Lattice Antiferromagnets with spatially anisotropic exchange constants
We present the temperature dependence of the uniform susceptibility of spin-half quantum antiferromagnets on spatially anisotropic triangular-lattices, using high temperature series expansions. We consider a model with two exchange constants, $J_1$ and $J_2$ on a lattice that interpolates between th...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2004
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| _version_ | 1797054257300504576 |
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| author | Zheng, W Singh, R McKenzie, R Coldea, R |
| author_facet | Zheng, W Singh, R McKenzie, R Coldea, R |
| author_sort | Zheng, W |
| collection | OXFORD |
| description | We present the temperature dependence of the uniform susceptibility of spin-half quantum antiferromagnets on spatially anisotropic triangular-lattices, using high temperature series expansions. We consider a model with two exchange constants, $J_1$ and $J_2$ on a lattice that interpolates between the limits of a square-lattice ($J_1=0$), a triangular-lattice ($J_2=J_1$), and decoupled linear chains ($J_2=0$). In all cases, the susceptibility which has a Curie-Weiss behavior at high temperatures, rolls over and begins to decrease below a peak temperature, $T_p$. Scaling the exchange constants to get the same peak temperature, shows that the susceptibilities for the square-lattice and linear chain limits have similar magnitudes near the peak. Maximum deviation arises near the triangular-lattice limit, where frustration leads to much smaller susceptibility and with a flatter temperature dependence. We compare our results to the inorganic materials Cs$_2$CuCl$_4$ and Cs$_2$CuBr$_4$ and to a number of organic molecular crystals. We find that the former (Cs$_2$CuCl$_4$ and Cs$_2$CuBr$_4$) are weakly frustrated and their exchange parameters determined through the temperature dependence of the susceptibility are in agreement with neutron-scattering measurements. In contrast, the organic materials are strongly frustrated with exchange parameters near the isotropic triangular-lattice limit. |
| first_indexed | 2024-03-06T18:54:39Z |
| format | Journal article |
| id | oxford-uuid:1166de47-453a-4d1d-89e9-b72229234726 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:54:39Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:1166de47-453a-4d1d-89e9-b722292347262022-03-26T10:02:17ZTemperature Dependence of the Magnetic Susceptibility for Triangular-Lattice Antiferromagnets with spatially anisotropic exchange constantsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1166de47-453a-4d1d-89e9-b72229234726EnglishSymplectic Elements at Oxford2004Zheng, WSingh, RMcKenzie, RColdea, RWe present the temperature dependence of the uniform susceptibility of spin-half quantum antiferromagnets on spatially anisotropic triangular-lattices, using high temperature series expansions. We consider a model with two exchange constants, $J_1$ and $J_2$ on a lattice that interpolates between the limits of a square-lattice ($J_1=0$), a triangular-lattice ($J_2=J_1$), and decoupled linear chains ($J_2=0$). In all cases, the susceptibility which has a Curie-Weiss behavior at high temperatures, rolls over and begins to decrease below a peak temperature, $T_p$. Scaling the exchange constants to get the same peak temperature, shows that the susceptibilities for the square-lattice and linear chain limits have similar magnitudes near the peak. Maximum deviation arises near the triangular-lattice limit, where frustration leads to much smaller susceptibility and with a flatter temperature dependence. We compare our results to the inorganic materials Cs$_2$CuCl$_4$ and Cs$_2$CuBr$_4$ and to a number of organic molecular crystals. We find that the former (Cs$_2$CuCl$_4$ and Cs$_2$CuBr$_4$) are weakly frustrated and their exchange parameters determined through the temperature dependence of the susceptibility are in agreement with neutron-scattering measurements. In contrast, the organic materials are strongly frustrated with exchange parameters near the isotropic triangular-lattice limit. |
| spellingShingle | Zheng, W Singh, R McKenzie, R Coldea, R Temperature Dependence of the Magnetic Susceptibility for Triangular-Lattice Antiferromagnets with spatially anisotropic exchange constants |
| title | Temperature Dependence of the Magnetic Susceptibility for
Triangular-Lattice Antiferromagnets with spatially anisotropic exchange
constants |
| title_full | Temperature Dependence of the Magnetic Susceptibility for
Triangular-Lattice Antiferromagnets with spatially anisotropic exchange
constants |
| title_fullStr | Temperature Dependence of the Magnetic Susceptibility for
Triangular-Lattice Antiferromagnets with spatially anisotropic exchange
constants |
| title_full_unstemmed | Temperature Dependence of the Magnetic Susceptibility for
Triangular-Lattice Antiferromagnets with spatially anisotropic exchange
constants |
| title_short | Temperature Dependence of the Magnetic Susceptibility for
Triangular-Lattice Antiferromagnets with spatially anisotropic exchange
constants |
| title_sort | temperature dependence of the magnetic susceptibility for triangular lattice antiferromagnets with spatially anisotropic exchange constants |
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