High-temperature expansion for frustrated magnets: Application to the J1-J2 model on the BCC lattice

Abstract

We present the high-temperature expansion up to 11th order for the specific heat $C$ and the uniform susceptibility ${\chi }_0$ and up to 9th order for the structure factor $S_{\mathbf{Q}}$ of the frustrated spin-half $J_1$-$J_2$ Heisenberg model on the BCC lattice. We consider ferromagnetic as well as antiferromagnetic nearest-neighbor exchange $J_1$ and frustrating antiferromagnetic next-nearest-neighbor exchange $J_2$. We discuss the influence of frustration on the temperature dependence of these quantities. Furthermore, we use the HTE series to determine the critical temperature $T_c$ as a function of the frustration parameter $J_2$.

8 pages, 4 figures, paper presented at the 20th International Conference on Magnetism, ICM 2015, Barcelona

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• The J1-J2 model: First order phase transition versus deconfinement of spinons
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Cited by in corpus (3)

• Quantum paramagnetism and helimagnetic orders in the Heisenberg model on the body centered cubic lattice
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• Thermodynamics of the pyrochlore Heisenberg ferromagnet with arbitrary spin $S$