We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin-$S$ in the presence of nearest-neighbor $J_1$ and second-nearest-neighbor $J_2$ exchange interactions. By employing the pseudofermion functional renormalization group (PFFRG) method, we find, for $S=1/2$ and $S=1$, an extended quantum spin liquid phase centered around $J_2=0$, which is shown to be robust against the introduction of breathing anisotropy. The effects of temperature, quantum fluctuations, breathing anisotropies, and a $J_2$ coupling on the nature of the scattering profile, and the pinch points in particular, are studied. For the magnetic phases of the $J_1$$J_2$ model, quantum fluctuations are shown to renormalize phase boundaries compared to the classical model, and to modify the spiral magnetic ordering vectors of spiral magnetic states, while no new magnetic orders are stabilized.

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具有竞争相互作用的烧绿石海森堡模型的量子相和经典相

我们研究了自旋氯仿晶上在烧绿石晶格上的量子海森堡模型。$\mathrm{小号}$ 在最近邻居的情况下 ${Ĵ}_{\mathrm{1个}}$ 和第二近邻 ${Ĵ}_{\mathrm{2个}}$交流互动。通过采用伪费米子函数重整化组（PFFRG）方法，我们发现$\mathrm{小号}=\mathrm{1个}/\mathrm{2个}$ 和 $\mathrm{小号}=\mathrm{1个}$，扩展的量子自旋液相围绕 ${Ĵ}_{\mathrm{2个}}=0$，对于抵抗呼吸各向异性的引入显示出很强的鲁棒性。温度，量子涨落，呼吸各向异性和电磁场的影响${Ĵ}_{\mathrm{2个}}$研究了散射轮廓的性质，特别是收缩点的耦合。对于磁相${Ĵ}_{\mathrm{1个}}$${Ĵ}_{\mathrm{2个}}$ 与经典模型相比，量子涨落被显示出可以使相界归一化，并且可以修改螺旋磁态的螺旋磁有序向量，而没有新的磁阶得到稳定。