Generalization of chiral symmetry for tilted Dirac cones
Generalization of chiral symmetry for tilted Dirac cones
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倾斜狄拉克锥的手性对称性的推广
DOI：
10.1142/s2010194512006046
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
and Hideo Aoki
中科院分区：
文献类型：
--
作者：
Tohru Kawarabayashi;Yasuhiro Hatsugai;Takahiro Morimoto;and Hideo Aoki
将传统狄拉克锥的手征对称性概念推广到倾斜狄拉克锥，其中广义手征算子是非厄米的。结果表明，广义手征对称性一般保护零模式（n = 0朗道水平）的狄拉克锥，即使倾斜。目前的广义对称性是等价的条件，狄拉克哈密顿是椭圆作为一个微分算子，这提供了一个明确的相关性的指标定理。
The notion of chiral symmetry for the conventional Dirac cone is generalized to include the tilted Dirac cones, where the generalized chiral operator turns out to be non-hermitian. It is shown that the generalized chiral symmetry generically protects the zero modes (n = 0 Landau level) of the Dirac cone even when tilted. The present generalized symmetry is equivalent to the condition that the Dirac Hamiltonian is elliptic as a differential operator, which provides an explicit relevance to the index theorem.