Accurate mapping of quantum Heisenberg magnetic models of spin $s$ on strong-coupling magnon systems

Abstract

An infinite-$U$ term is introduced into the Holstein-Primakoff-transformed magnon hamiltonian of quantum Heisenberg magnetic models of spin $s$. This term removes the unphysical spin wave states on every site and truncates automatically the expansion in powers of the magnon occupation operator. The resultant strong-coupling magnon hamiltonians are accurately equivalent to the original spin hamiltonians. The on-site $U$ levels and their implications are studied. Within a simple decoupling approximation for our strong-coupling magnon models we can easily reproduce the results for the (sublattice) magnetizations obtained previously for the original spin model. But our bosonic hamiltonians without any unphysical states allow for substantially improved values for the spectral weight in the ground state and for lower ground-state energies than those obtained within previous approximations.

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References in corpus (5)

• Correlated Electrons in High Temperature Superconductors
• A Comparison of the High-Frequency Magnetic Fluctuations in Insulating and Superconducting La2-xSrxCuO4
• Spin Excitations and Sum Rules in the Heisenberg Antiferromagnet
• Isotropic Spin Wave Theory of Short-Range Magnetic Order
• Spin Waves in Quantum Antiferromagnets

Cited by in corpus (2)

• Low-energy structure of the intertwining double-chain ferrimagnets A_3_Cu_3_(PO_4_)_4_ (A=Ca,Sr,Pb)
• The sublattice magnetizations of the spin-s quantum Heisenberg antiferromagnets