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 $J_2$.

arXiv comment8 pages, 4 figures, paper presented at the 20th International Conference on Magnetism, ICM 2015, Barcelona

References in corpus (31)

• Spin-lattice coupling in frustrated antiferromagnets
• Spin Liquid Ground State of the Spin-1/2 Square $J_1$-$J_2$ Heisenberg Model
• Nematic order in square lattice frustrated ferromagnets
• Plaquette Ordered Phase and Quantum Phase Diagram in the Spin-1/2 J1-J2 Square Heisenberg Model
• Critical Exponents of the Classical 3D Heisenberg Model: A Single-Cluster Monte Carlo Study
• Direct evidence for a gapless $Z_2$ spin liquid by frustrating Néel antiferromagnetism
• Ground-state phases of the spin-1/2 J_1-J_2 Heisenberg antiferromagnet on the square lattice: A high-order coupled cluster treatment
• The spin-1/2 J1-J2 Heisenberg antiferromagnet on the square lattice: Exact diagonalization for N=40 spins
• Spin-1/2 Heisenberg-Antiferromagnet on the Kagome Lattice: High Temperature Expansion and Exact Diagonalisation Studies
• J_1-J_2 frustrated two-dimensional Heisenberg model: Random phase approximation and functional renormalization group
• The J1-J2 model: First order phase transition versus deconfinement of spinons
• Constructing gapless spin liquid state for the spin-1/2 J1-J2 Heisenberg model on a square lattice
• The sign problem in Monte Carlo simulations of frustrated quantum spin systems
• Quantum $J_1$--$J_2$ antiferromagnet on the stacked square lattice: Influence of the interlayer coupling on the ground-state magnetic ordering
• Tenth-order high-temperature expansion for the susceptibility and the specific heat of spin-s Heisenberg models with arbitrary exchange patterns: Application to pyrochlore and kagome magnets
• From itinerant ferromagnetism to insulating antiferromagnetism: A magnetic and transport study of single crystal SrRu1-xMnxO3
• Eighth-order high-temperature expansion for general Heisenberg Hamiltonians
• The frustrated spin-1/2 J1-J2 Heisenberg ferromagnet on the square lattice: Exact diagonalization and Coupled-Cluster study
• Exchange energies of Kapellasite from high-temperature series analysis of the kagome lattice J1-J2-Jd-Heisenberg model
• Phase Diagram of the BCC S=1/2 Heisenberg Antiferromagnet with First and Second Neighbor Exchange
• Spin-1/2 J1-J2 model on the body-centered cubic lattice
• Nematic phase and phase separation near saturation field in frustrated ferromagnets
• Spin susceptibility of quantum magnets from high to low temperatures
• Spin liquid versus dimer phases in an anisotropic J1-J2 frustrated square antiferromagnet
• Projective studies of spin nematics in a quantum frustrated ferromagnet
• Curie and Neel Temperatures of Quantum Magnets
• Thermodynamics of layered Heisenberg magnets with arbitrary spin
• Non-linear spin wave theory results for the frustrated S = 1/2 Heisenberg antiferromagnet on a body-centered cubic lattice
• High temperature series expansion study of the Heisenberg antiferromagnet on the hyperkagome lattice: Comparison with Na${}_4$Ir${}_3$O${}_8$
• Thermodynamics of the frustrated $J_1$-$J_2$ Heisenberg ferromagnet on the body-centered cubic lattice with arbitrary spin
• Ferromagnetic frustrated spin systems on the square lattice: a Schwinger boson study

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• Thermodynamics of the pyrochlore Heisenberg ferromagnet with arbitrary spin $S$
• Logarithmic divergent specific heat from high-temperature series expansions: application to the two-dimensional XXZ Heisenberg model
• Initial tensor construction and dependence of the tensor renormalization group on initial tensors