On the K-Theoretic Classification of Topological Phases of Matter
On the K-Theoretic Classification of Topological Phases of Matter
复制标题
论物质拓扑相的K理论分类
DOI：
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复制
发表时间：
2014
期刊：
影响因子：
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通讯作者：
Guo Chuan Thiang
中科院分区：
文献类型：
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作者：
Guo Chuan Thiang
我们提出了一个严格的和完全一致的K-理论框架研究的自由费米子的带隙相位。它利用并受益于算子K理论中的强大技术，从对称性的角度来看，如时间反演，电荷共轭和磁平移，比拓扑版本更普遍和自然。在我们的模型无关的方法中，动力学仅受物理对称性的约束，这可以使用合适的C*-超代数完全编码。与现有文献相反，我们不使用K-理论群在绝对意义上对相位进行分类，而是对相位之间的拓扑障碍进行分类。Kitaev的周期表在我们的框架内展示为一个特殊的情况下，我们证明了周期性和尺寸变化的现象是强大的对无序和磁场。
We present a rigorous and fully consistent K-theoretic framework for studying gapped phases of free fermions. It utilizes and profits from powerful techniques in operator K-theory, which from the point of view of symmetries such as time reversal, charge conjugation, and magnetic translations, is more general and natural than the topological version. In our model-independent approach, the dynamics are only constrained by the physical symmetries, which can be completely encoded using a suitable C*-superalgebra. Contrary to existing literature, we do not use K-theory groups to classify phases in an absolute sense, but to classify topological obstructions between phases. The Periodic Table of Kitaev is exhibited as a special case within our framework, and we prove that the phenomena of periodicity and dimension shifts are robust against disorder and magnetic fields.
影响因子：
2.4
作者：
Heinzner, P;Huckleberry, A;Zirnbauer, MR
通讯作者：
Zirnbauer, MR