C$_{60}$中与自旋s成正比的$\mathbfΔ$S$^z$=2量子磁化跳变：起源与对称性的作用
$\mathbfΔ$S$^z$=2 quantum magnetization discontinuities proportional in number to the spin s in C$_{60}$: Origin and the role of symmetry
AI总结：
本文研究磁场中C$_{60}$富勒烯的量子反铁磁Heisenberg模型，发现其基态磁化跳变数目与自旋s成正比，并揭示该现象源于反铁磁Ising极限及$I_h$空间对称性对磁响应的决定作用。
摘要：
磁场中富勒烯C$_{60}$上的量子反铁磁Heisenberg模型，作为自旋量子数s的函数，具有4s个基态磁化跳变，且$ΔS^z=2$，这些跳变在经典极限下消失。该分子可视为带有五边形间相互作用的富勒烯C$_{20}$，当相互作用足够强时会产生这些跳变。对于这两种分子，跳变均起源于反铁磁Ising极限。结果表明空间对称性如何决定$I_h$富勒烯分子的磁响应。
英文摘要：
The quantum antiferromagnetic Heisenberg model on the fullerene C$_{60}$ in a magnetic field has $4s$ ground-state magnetization discontinuities with $ΔS^z=2$ as a function of the spin quantum number $s$ that disappear at the classical limit. The molecule can be seen as the fullerene C$_{20}$ with interpentagon interactions that generate the discontinuities when sufficiently strong. The discontinuities originate from the antiferromagnetic Ising limit for both molecules. The results show how spatial symmetry dictates the magnetic response of the $I_h$ fullerene molecules.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
