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arXiv 2102.12438cond-mat.mes-hall
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石墨烯中$ν=\pm1$量子霍尔铁磁体中的SU(4)自旋波

SU(4) spin waves in the $ν=\pm1$ quantum Hall ferromagnet in graphene

Jonathan Atteia, Mark Oliver Goerbig

摘要:

研究了强磁场下朗道能级填充因子为$ν=\pm 1$的石墨烯中的广义自旋波。在这种情况下,基态是一种特殊的SU(4)量子霍尔铁磁体,其中不仅物理自旋是完全极化的,而且与谷自由度相关的赝自旋也是完全极化的。的基态和自旋谷极化的性质取决于明确的对称性破缺项,也反映在广义自旋波谱。除了纯自旋波,人们遇到谷伪自旋波以及更奇特的纠缠波,具有混合的自旋谷字符。最显著的是,SU(4)破缺项不仅在谱中产生间隙,而且在某些情况下,即在剩余基态对称性的情况下,使原来的二次(在波矢中)自旋波色散线性化。

英文摘要:

We study generalized spin waves in graphene under a strong magnetic field when the Landau-level filling factor is $ν=\pm 1$. In this case, the ground state is a particular SU(4) quantum Hall ferromagnet, in which not only the physical spin is fully polarized but also the pseudo-spin associated with the valley degree of freedom. The nature of the ground state and the spin-valley polarization depend on explicit symmetry breaking terms that are also reflected in the generalised spin-wave spectrum. In addition to pure spin waves, one encounters valley-pseudo-spin waves as well as more exotic entanglement waves that have a mixed spin-valley character. Most saliently, the SU(4) symmetry-breaking terms do not only yield gaps in the spectra, but under certain circumstances, namely in the case of residual ground-state symmetries, render the originally quadratic (in the wave vector) spin-wave dispersion linear.

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。

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