Universal Scaling Relations in Strongly Anisotropic Materials

Abstract

We consider the critical temperature in strongly anisotropic antiferromagnetic materials, with weak coupling between stacked planes, in order to determine the interplane coupling constant from experimentally measured susceptibilities. We present theoretical arguments for a universal relation between interplane coupling and susceptibility shown numerically by Yasuda et. al., Phys. Rev. Lett. \textbf{94}, 217201 (2005). We predict a more general scaling function if the system is close to a quantum critical point, a similar relation for other susceptibilities than considered in Yasuda et. al., and the validity of these relations for more general phase transitions.

4 pages, 1 figure

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Cited by in corpus (5)

• Control of the third dimension in copper-based square-lattice antiferromagnets
• Universal Scaling of the Neel Temperature of Near-Quantum-Critical Quasi-Two-Dimensional Heisenberg Antiferromagnets
• Scaling relations in quasi-two-dimensional Heisenberg antiferromagnet
• Improved chain mean-field theory for quasi-one-dimensional quantum magnets
• Universal Reduction of Effective Coordination Number in the Quasi-One-Dimensional Ising Model