Current browse context:
cond-mat.dis-nn
Change to browse by:
References & Citations
Condensed Matter > Disordered Systems and Neural Networks
Title: Coexistence of ergodic and weakly ergodic states in finite-height Wannier-Stark ladders
(Submitted on 29 Aug 2023 (v1), last revised 20 Feb 2024 (this version, v2))
Abstract: We investigate a single-particle in one-dimensional Wannier-Stark ladders with either a linear potential or a mosaic potential with spacing $\kappa=2$. In both cases, we exactly determine the critical energies separating the weakly ergodic states from ergodic states for a finite potential height. Especially in the latter case, we demonstrate a rich phase diagram with ergodic states, weakly ergodic states, and strongly Wannier-Stark localized states. Our results also exhibit that critical energies are highly dependent on the height of the ladder and ergodic states only survive at $E\approx0$ for the high ladder. Importantly, we find that the number of ergodic states can be adjusted by changing the interval of the non-zero potential. These interesting features will shed light on the study of disorder-free systems.
Submission history
From: Xingbo Wei [view email][v1] Tue, 29 Aug 2023 16:55:40 GMT (507kb,D)
[v2] Tue, 20 Feb 2024 04:10:04 GMT (2392kb,D)
Link back to: arXiv, form interface, contact.