论文标题
光谱费用光谱差距的稳定性
Stability of the Spectral Gap for Lattice Fermions
论文作者
论文摘要
人们普遍认为，无晶格费米斯（Fermi Fermions）的费米海景状态上方的光谱间隙在通用弱相互作用上是稳定的。最近，黑斯廷斯提出了一个新的有趣想法，以证明Majorana Free Fermions的稳定性。他巧妙地使用了Majorana fermions，以便将自由费米恩一部分的不受干扰的哈密顿人映射为一种无挫败感的形式。在本文中，我们完善了黑斯廷斯的论点，并提供了频谱差距在费米海景状态上方的稳定性的完整证明，以防止通用无晶格的通用弱相互作用。
It is widely believed that the spectral gap above the Fermi sea ground state of lattice free fermions is stable against generic weak interactions. Quite recently, Hastings presented a new interesting idea to prove the stability for Majorana free fermions. He ingeniously used Majorana fermions so that the unperturbed Hamiltonian of the free fermion part is mapped into a frustration-free form. In this paper, we refine Hastings's argument, and give a complete proof of the stability of the spectral gap above the Fermi sea ground state against generic weak interactions for generic lattice free fermions.
