具有准周期无序的Zd上相互作用费米子中Drude重量的消失
Vanishing of Drude weight in interacting fermions on Zd with quasi-periodic disorder
摘要：
考虑了具有短程相互作用和准周期无序的Zd中的费米子多体系统。在强无序制度，并假设一个丢番图条件的频率和化学势，我们证明在$T=0$的指数衰减的相关性和消失的德鲁德重量，信号安德森局域化在基态。结合沃德恒等式、重整化群和KAM Lindstedt级数方法给出了证明。
英文摘要：
We consider a fermionic many body system in Zd with a short range interaction and quasi-periodic disorder. In the strong disorder regime and assuming a Diophantine condition on the frequencies and on the chemical potential, we prove at $T=0$ the exponential decay of the correlations and the vanishing of the Drude weight, signaling Anderson localization in the ground state. The proof combines Ward Identities, Renormalization Group and KAM Lindstedt series methods.
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