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

preprint2016arXivOpen access

Abstract

We present the high-temperature expansion up to 11th order for the specific heat CC and the uniform susceptibility χ0χ_0 and up to 9th order for the structure factor SQS_{\bf Q} of the frustrated spin-half J1J_1-J2J_2 Heisenberg model on the BCC lattice. We consider ferromagnetic as well as antiferromagnetic nearest-neighbor exchange J1J_1 and frustrating antiferromagnetic next-nearest-neighbor exchange J2J_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 TcT_c as a function of the frustration parameter J2J_2.

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