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• W2012014955 abstract "We examine the stability of classical states with a generic incommensurate spiral order against quantum fluctuations. Specifically, we focus on the frustrated spin-1/2 $XY$ and Heisenberg models on the honeycomb lattice with nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic couplings. Our variational approach is based on the Jastrow wave functions, which include quantum correlations on top of classical spin waves. We perform a systematic optimization of wave vectors and Jastrow pseudo-potentials within this class of variational states and find that quantum fluctuations favor collinear states over generic coplanar spirals. The N'eel state with ${bf Q}=(0,0)$ extends its stability well beyond the classical value $J_2/J_1=1/6$. Most importantly, the collinear states with ${bf Q}=(0,2pi/sqrt{3})$ (and the two symmetry-related states) are found to be stable in a large regime with intermediate frustration, while at the classical level they are limited to the point $J_2/J_1=0.5$. For large frustration, the $120^circ$ state is stabilized for finite values of $J_2/J_1$ in both models." @default.
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• W2012014955 date "2014-03-19" @default.
• W2012014955 modified "2023-10-17" @default.
• W2012014955 title "Spiral antiferromagnets beyond the spin-wave approximation: Frustrated<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math>and Heisenberg models on the honeycomb lattice" @default.
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• W2012014955 doi "https://doi.org/10.1103/physrevb.89.094413" @default.
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