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Anomalous mobility edges(AMEs), separating localized from multifractal critical states, represent a novel form of localization transition in quasiperiodic systems. However, quasi-periodic models exhibiting exact AMEs remain relatively rare,…

Disordered Systems and Neural Networks · Physics 2025-06-16 Zhanpeng Lu , Hui Liu , Yunbo Zhang , Zhihao Xu

A mobility edge (ME) in energy separating extended from localized states is a central concept in understanding various fundamental phenomena like the metal-insulator transition in disordered systems. In one-dimensional quasiperiodic…

Disordered Systems and Neural Networks · Physics 2021-05-26 Yucheng Wang , Xu Xia , Yongjian Wang , Zuohuan Zheng , Xiong-jun Liu

We investigate Anderson transitions for a system of two particles moving in a three-dimensional disordered lattice and subject to on-site (Hubbard) interactions of strength U. The two-body problem is exactly mapped into an effective…

Disordered Systems and Neural Networks · Physics 2019-07-19 Filippo Stellin , Giuliano Orso

We investigate the effect of spatial disorder on the edge states localized at the interface between two topologically different regions. Rotation disorder can localize the quantum walk if it is strong enough to change the topology,…

Quantum Physics · Physics 2017-04-04 Alberto D. Verga

Environment-assisted quantum transport (ENAQT) is a unique situation where environmental noise can, counterintuitively, enhance the transport of an open quantum system. In this paper, we investigate how the presence of a one-dimensional…

Quantum Physics · Physics 2021-09-07 Donny Dwiputra , Freddy P. Zen

We use a generalized master equation (GME) to describe the nonequilibrium magnetotransport of interacting electrons through a broad finite quantum wire with an embedded ring structure. The finite quantum wire is weakly coupled to two broad…

Mesoscale and Nanoscale Physics · Physics 2012-03-15 Vidar Gudmundsson , Chi-Shung Tang , Olafur Jonasson , Valeriu Moldoveanu , Andrei Manolescu

Mobility edge (ME), representing the critical energy that distinguishes between extended and localized states, is a key concept in understanding the transition between extended (metallic) and localized (insulating) states in disordered and…

Disordered Systems and Neural Networks · Physics 2024-05-24 Yaru Liu , Zeqing Wang , Chao Yang , Jianwen Jie , Yucheng Wang

The transport of deformable self-propelling objects like bacteria, worms, snakes, and robots through heterogeneous environments is poorly understood. In this paper, we use experiment, simulation, and theory to study a snake-like robot as it…

Biological Physics · Physics 2025-07-25 Christopher J. Pierce , Tianyu Wang , Dmitri Kalinin , Andrew Zangwill , Daniel I. Goldman

The existence of localization and mobility edges in one-dimensional lattices is commonly thought to depend on disorder (or quasidisorder). We investigate localization properties of a disorder-free lattice subject to an equally spaced…

Disordered Systems and Neural Networks · Physics 2022-02-24 Donny Dwiputra , Freddy P. Zen

Motivated by the novel electronic behaviors seen in transition metal oxides, we look for physical insight into disordered, strongly-correlated systems by exploring the atomic limit. In recent work, the atomic limit has provided a useful…

Strongly Correlated Electrons · Physics 2015-06-19 R. Wortis , Lister Mulindwa

Mobility edge (ME) has played an essential role in disordered models. However, while this concept has been well established in disordered single-particle models, its existence in disordered many-body models is still under controversy. Here,…

Disordered Systems and Neural Networks · Physics 2023-07-06 Xiaoshui Lin , Ming Gong , Guang-Can Guo

It is shown that a non-periodic Kronig-Penney model exhibits mobility edges if the positions of the scatterers are correlated at long distances. An analytical expression for the energy-dependent localization length is derived for weak…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. M. Izrailev , A. A. Krokhin , S. E. Ulloa

We examine the interplay of interaction and disorder for a Heisenberg spin ladder system with random fields. We identify many-body localized states based on the entanglement entropy scaling, where delocalized and localized states have…

Strongly Correlated Electrons · Physics 2015-12-09 Elliott Baygan , S. P. Lim , D. N. Sheng

The mobility edge (ME) that marks the energy separating extended and localized states is a central concept in understanding the metal-insulator transition induced by disordered or quasiperiodic potentials. MEs have been extensively studied…

Disordered Systems and Neural Networks · Physics 2023-04-25 Yucheng Wang , Long Zhang , Yuhao Wan , Yu He , Yongjian Wang

We study localization driven solely by interparticle interactions in moir\'e lattice systems without intrinsic disorder or externally imposed quasiperiodic potentials. We consider a one-dimensional bilayer with incommensurate lattice…

Disordered Systems and Neural Networks · Physics 2026-02-03 Yan-Hao Yang , Zhihao Xu , Lei Ying , Qizhong Zhu

We introduce a one-dimensional quasiperiodic mosaic model with analytically solvable mobility edges that exhibit different phase transitions depending on the system parameters. Specifically, by combining mosaic quasiperiodic…

Disordered Systems and Neural Networks · Physics 2025-03-07 Xu Xia , Weihao Huang , Ke Huang , Xiaolong Deng , Xiao Li

Here we study the phase diagram of the Aubry-Andre-Harper model in the presence of strong interactions as the strength of the quasiperiodic potential is varied. Previous work has established the existence of many-body localized phase at…

Strongly Correlated Electrons · Physics 2023-03-10 Yongchan Yoo , Junhyun Lee , Brian Swingle

We theoretically study a one-dimensional (1D) mutually incommensurate bichromatic lattice system which has been implemented in ultracold atoms to study quantum localization. It has been universally believed that the tight-binding version of…

Disordered Systems and Neural Networks · Physics 2017-08-23 Xiao Li , Xiaopeng Li , S. Das Sarma

The effect of a localized drive on the steady state of an interface separating two phases in coexistence is studied. This is done using a spin conserving kinetic Ising model on a two dimensional lattice with cylindrical boundary conditions,…

Statistical Mechanics · Physics 2014-11-18 Tridib Sadhu , Zvi Shapira , David Mukamel

Many-body localization provides a mechanism to avoid thermalization in isolated interacting quantum systems. The breakdown of thermalization may be complete, when all eigenstates in the many-body spectrum become localized, or partial, when…

Disordered Systems and Neural Networks · Physics 2020-09-02 Pietro Brighi , Dmitry Abanin , Maksym Serbyn