The stability of free fermi Hamiltonians
The stability of free fermi Hamiltonians
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DOI：
10.1063/1.5053869
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发表时间：
2019-04-01
影响因子：
1.3
通讯作者：
Hastings, M. B.
中科院分区：
文献类型：
--
作者：
Hastings, M. B.
最近的结果表明，假设几个条件，无挫败哈密顿量对弱局部扰动的稳定性。在本文中，我们证明了有间隙和局部的自由费米子哈密顿量的稳定性。这些自由费米子哈密顿量不一定是无挫折的，但我们能够调整以前的工作来证明稳定性。关键思想：是添加一个额外的系统副本来消除拓扑障碍。我们对此类系统中霍尔电导的量化应用进行评论。由 AIP Publishing 许可发布。
Recent results have shown the stability of frustration-free Hamiltonians to weak local perturbations, assuming several conditions. In this paper, we prove the stability of free fermion Hamiltonians which are gapped and local. These free fermion Hamiltonians are not necessarily frustration-free, but we are able to adapt previous work to prove stability. The key idea:is to add an additional copy of the system to cancel topological obstructions. We comment on applications to quantization of Hall conductance in such systems. Published under license by AIP Publishing.