二维非对称晶体中的填充强化近藤半金属
Filling-enforced Kondo semimetals in two-dimensional non-symmorphic crystals
摘要:
研究了非对称Shastry-Sutherland Kondo晶格在每个晶胞中填充两个传导电子时Kondo屏蔽和阻挫磁性之间的竞争。以前的分析,这个模型确定了一组无间隙的部分近藤屏蔽相之间的近藤破坏的顺磁体和重费米液体。基于晶体对称性,我们认为:(i)~顺磁体和重费米液体都是{ \it半金属},受到滑移对称性的保护;(ii)~部分近藤屏蔽破坏了对称性,去除了这种保护,并允许部分近藤屏蔽相通过Lifshitz跃迁变形为近藤绝缘体。我们确认这些结果使用大$N$平均场论,然后使用非微扰参数导出一个广义Luttinger和规则约束的相结构的二维非对称近藤晶格超出平均场的限制。
英文摘要:
We study the competition between Kondo screening and frustrated magnetism on the non-symmorphic Shastry-Sutherland Kondo lattice at a filling of two conduction electrons per unit cell. A previous analysis of this model identified a set of gapless partially Kondo screened phases intermediate between the Kondo-destroyed paramagnet and the heavy Fermi liquid. Based on crystal symmetries, we argue that (i)~both the paramagnet and the heavy Fermi liquid are {\it semimetals} protected by a glide symmetry; and (ii)~partial Kondo screening breaks the symmetry, removing this protection and allowing the partially-Kondo-screened phase to be deformed into a Kondo insulator via a Lifshitz transition. We confirm these results using large-$N$ mean field theory and then use non-perturbative arguments to derive a generalized Luttinger sum rule constraining the phase structure of 2D non-symmorphic Kondo lattices beyond the mean-field limit.
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