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- W2025529409 abstract "Microscopic models of quantum antiferromagnets are investigated on the basis of a mapping onto effective low-energy Hamiltonians. Lattice effects are carefully taken into account and their role is discussed. We show that the presence of an external staggered magnetic field modifies in a nontrivial way the usual mapping onto the nonlinear sigma model, leading to the appearance of terms neglected in previous works. Our analysis is compared with Lanczos diagonalizations of $S=1$ Heisenberg chains in a staggered field, confirming the validity of the single-mode approximation for the evaluation of the dynamical structure factor. The results are relevant for the interpretation of experiments in quasi-one-dimensional compounds. Microscopic realizations of SU(4) spin chains are also discussed in the framework of spin-orbital lattice systems. The low-energy physics is shown to be described by sigma models with topological angle $ensuremath{theta}$ in one dimension. This mapping strongly suggests that the one-dimensional ${mathrm{CP}}^{3}$ model (with $ensuremath{theta}=ensuremath{pi})$ undergoes a second-order phase transition as a function of the coupling." @default.
- W2025529409 created "2016-06-24" @default.
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- W2025529409 date "2001-10-25" @default.
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- W2025529409 title "Nonlinear sigma models and quantum spin systems" @default.
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- W2025529409 doi "https://doi.org/10.1103/physrevb.64.184439" @default.
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