Where is the Quantum Spin Nematic?

Abstract

We provide strong evidence of the spin-nematic state in a paradigmatic ferro-antiferromagnetic $J_1$--$J_2$ model using analytical and density-matrix renormalization group methods. In zero field, the attraction of spin-flip pairs leads to a first-order transition and no nematic state, while pair-repulsion at larger $J_2$ stabilizes the nematic phase in a narrow region near the pair-condensation field. A devil's staircase of multi-pair condensates is conjectured for weak pair-attraction. A suppression of the spin-flip gap by many-body effects leads to an order-of-magnitude contraction of the nematic phase compared to naïve expectations. The proposed phase diagram should be broadly valid.

7 pages, 5 figures; 11 pages of supplemental materials; almost the same as the published version

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Cited by in corpus (20)

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• Phase Diagram of the Easy-Axis Triangular-Lattice $J_1-J_2$ Model
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• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Magnon interactions in the quantum paramagnetic phase of CoNb${}_2$O${}_6$
• BaCo${}_2$(AsO${}_4$)${}_2$: Strong Kitaev, After All
• Quantum bicritical point and phase separation in a frustrated Heisenberg ladder
• Field induced non-BEC transitions in frustrated magnets
• Mixed-spin Heisenberg ladders in a magnetic field
• Unconventional orders in the maple-leaf ferro-antiferromagnetic Heisenberg model
• Probing universal critical scaling with scan-DMRG
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets
• Entanglement-enabled symmetry-breaking orders
• Spin nematic order and superconductivity in $J_1$-$J_2$ Kondo lattice model on square lattice
• Demystifying quantum escapism on the honeycomb lattice
• Coarsening dynamics of Ising-nematic order in a frustrated Heisenberg antiferromagnet
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• Impurity effects in one dimensional spin nematic liquid
• Narrowly avoided spin-nematic phase in BaCdVO(PO${}_4$)${}_2$: NMR evidence
• L-point quadrupole order under magnetic field in cubic PrIr${}_2$Zn${}_{20}$