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arXiv 2102.00964cond-mat.mes-hall
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多费米子系统中涌现Weyl旋量的分类

Classification of emergent Weyl spinors in multi-fermion systems

M. A. Zubkov

摘要:

在费米点拓扑稳定的费米系统中,出现了双分量外尔费米子.我们提出了基于二分量格林函数构成的两个不变量的费米子拓扑分类。我们定义这些不变量使用Wigner-Weyl形式主义的情况下,本质上也是非齐次系统.在这些不变量的值是最小的情况下($\pm 1$),我们处理涌现相对论对称性。突现的引力出现了,我们对外尔费米子的分类引起了对维尔拜因的分类。不同类型的涌现相对论外尔费米子之间的变换对应于宇称共轭、时间反转和电荷共轭。

英文摘要:

In the fermionic systems with topologically stable Fermi points the emergent two - component Weyl fermions appear. We propose the topological classification of these fermions based on the two invariants composed of the two - component Green function. We define these invariants using Wigner - Weyl formalism also in case of essentially non - homogeneous systems. In the case when values of these invariants are minimal ($\pm 1$) we deal with emergent relativistic symmetry. The emergent gravity appears, and our classification of Weyl fermions gives rise to the classification of vierbein. Transformations between emergent relativistic Weyl fermions of different types correspond to parity conjugation, time reversal, and charge conjugation.

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