Papers › Renormalized Classical Theory of Quantum Magnets

Renormalized Classical Theory of Quantum Magnets

8 Apr 2023arXiv:2304.03874links table onlyarchive 2025-07-28

David Dahlbom, Hao Zhang, Zoha Laraib, Daniel M. Pajerowski, Kipton Barros, Cristian Batista

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We derive a renormalized classical spin (RCS) theory for S > 1/2 quantum magnets by constraining a generalized classical theory that includes all multipolar fluctuations to a reduced CP¹ phase space of dipolar SU($2$) coherent states. When the spin Hamiltonian Ĥ^S is linear in the spin operators Ŝⱼ for each lattice site j, the RCS Hamiltonian H̃_(cl) coincides with the usual classical model H_(cl) = lim_(S→∞) Ĥ^S. In the presence of non-linear terms, however, the RCS theory is more accurate than H_(cl). For the many materials modeled by spin Hamiltonians with (non-linear) single-ion anisotropy terms, the use of the RCS theory is essential to accurately model phase diagrams and to extract the correct Hamiltonian parameters from neutron scattering data

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