Nematic Bond Theory of Heisenberg Helimagnets

Abstract

We study classical two-dimensional frustrated Heisenberg models with generically incommensurate groundstates. A new theory for the spin-nematic "order by disorder" transition is developed based on the self-consistent determination of the effective exchange coupling bonds. In our approach, fluctuations of the constraint field imposing conservation of the local magnetic moment drive nematicity at low temperatures. The critical temperature is found to be highly sensitive to the peak helimagnetic wavevector, and vanishes continuously when approaching rotation symmetric Lifshitz points. Transitions between symmetry distinct nematic orders may occur by tuning the exchange parameters, leading to lines of bicritical points.

arXiv comment4 pages, 4 figures

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• Preemptive nematic order, pseudogap, and orbital order in the iron pnictides
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• Discrete lattice symmetry breaking in a two-dimensional frustrated spin-1 Heisenberg model
• Interplay between Magnetic and Vestigial Nematic Orders in the Layered $J_1$-$J_2$ Classical Heisenberg Model
• Continuous transformation between ferro and antiferro circular structures in $J_1-J_2-J_3$ frustrated Heisenberg model
• Topological defects and critical phenomena in two-dimensional frustrated helimagnets
• The Finite-Temperature Behavior of a Triangular Heisenberg Antiferromagnet
• Cooper Pair Induced Frustration and Nematicity of Two-Dimensional Magnetic Adatom Lattices
• Nematostriction in frustrated two-dimensional Heisenberg models
• Vestigial Nematic Order at Zero Temperature in Two-Dimensional Frustrated Quantum Antiferromagnets