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Motivated by recent advances in the realization of Truchet-tiling structures in molecular networks and metal-organic frameworks, we investigate the wave localization issue in this kind of structure. We introduce an electron model based on…

无序系统与神经网络 · 物理学 2025-05-08 Junmo Jeon , Shiro Sakai

Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian. The ideal experimental emulation of such a model utilizes simultaneous, high-fidelity control and readout of…

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…

In one-dimensional quasiperiodic systems, only a few models with exact mobility edges (MEs) have been constructed using generalized self-duality theory, Avila's global theory, or the renormalization group method. This raises an intriguing…

无序系统与神经网络 · 物理学 2025-12-29 Hai-Tao Hu , Xiaoshui Lin , Ai-Min Guo , Guangcan Guo , Zijin Lin , Ming Gong

Mobility edges (ME), defined as critical energies that separate the extended states from the localized states, are a significant topic in quantum physics. In this paper, we demonstrate the existence of two exact new mobility edges for two…

动力系统 · 数学 2025-01-30 Yongjian Wang , Qi Zhou

The interplay of interactions and disorder is studied using the Anderson-Hubbard model within the typical medium dynamical cluster approximation. Treating the interacting, non-local cluster self-energy ($\Sigma_c[{\cal \tilde{G}}](i,j\neq…

无序系统与神经网络 · 物理学 2015-12-02 C. E. Ekuma , S. -X. Yang , H. Terletska , K. -M. Tam , N. S. Vidhyadhiraja , J. Moreno , M. Jarrell

We study interaction-induced bound states in a system of ultracold bosons loaded into the states with orbital angular momentum in a one-dimensional staggered lattice of rings. We consider the hard-core limit and strong nearest-neighbour…

量子气体 · 物理学 2026-05-11 Yunjia Zhai , Ayaka Usui , Anselmo M. Marques , Ricardo G. Dias , Verònica Ahufinger

We have developed the tight-binding theory to study electronic and optical properties of type-II heterostructures CA/C'A' grown from the zinc-blende semiconductors CA and C'A' along the crystallographic direction [001]. The sp^3s*…

介观与纳米尺度物理 · 物理学 2008-10-07 E. L. Ivchenko , M. O. Nestoklon

The Embedded-Atom Model (EAM) provides a phenomenological description of atomic arrangements in metallic systems. It consists of a configurational energy depending on atomic positions and featuring the interplay of two-body atomic…

数学物理 · 物理学 2021-09-01 Laurent Bétermin , Manuel Friedrich , Ulisse Stefanelli

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…

无序系统与神经网络 · 物理学 2026-02-03 Yan-Hao Yang , Zhihao Xu , Lei Ying , Qizhong Zhu

We consider quantum wave propagation in one-dimensional quasiperiodic lattices. We propose an iterative construction of quasiperiodic potentials from sequences of potentials with increasing spatial period. At each finite iteration step the…

材料科学 · 物理学 2015-06-19 C. Danieli , K. Rayanov , B. Pavlov , G. Martin , S. Flach

We study theoretically the localization properties of two distinct one-dimensional quasiperiodic lattice models with a single-particle mobility edge (SPME) separating extended and localized states in the energy spectrum. The first one is…

无序系统与神经网络 · 物理学 2020-02-19 Xiao Li , S. Das Sarma

We explore properties of a Gross-Pitaevskii chain subject to an incommensurate periodic potential, i.e., a nonlinear Aubry-Andre model. We show that the condensate crucially impacts the properties of the elementary excitations. In contrast…

无序系统与神经网络 · 物理学 2025-11-25 Oleg I. Utesov , Yeongjun Kim , Sergej Flach

Hyperbolic lattices, formed by tessellating the hyperbolic plane with regular polygons, exhibit a diverse range of exotic physical phenomena beyond conventional Euclidean lattices. Here, we investigate the impact of disorder on hyperbolic…

无序系统与神经网络 · 物理学 2024-11-20 Tianyu Li , Yi Peng , Yucheng Wang , Haiping Hu

We study the frictional force exerted on the trapped, interacting 1D Bose gas under the influence of a moving random potential. Specifically we consider weak potentials generated by optical speckle patterns with finite correlation length.…

量子气体 · 物理学 2017-11-30 Alexander Yu. Cherny , Jean-Sébastien Caux , Joachim Brand

We investigate the edge state of a two-dimensional topological insulator based on the Kane-Mele model. Using complex wave numbers of the Bloch wave function, we derive an analytical expression for the edge state localized near the edge of a…

介观与纳米尺度物理 · 物理学 2014-08-21 Hyeonjin Doh , Gun Sang Jeon , Hyoung Joon Choi

Cold atoms in optical lattices allow for accurate studies of many body dynamics. Rapid time-dependent modifications of optical lattice potentials may result in significant excitations in atomic systems. The dynamics in such a case is…

量子气体 · 物理学 2013-05-30 Mateusz Lacki , Jakub Zakrzewski

Spin lattice models play central role in the studies of quantum magnetism and non-equilibrium dynamics of spin excitations -- magnons. We show that a spin lattice with strong nearest-neighbor interactions and tunable long-range hopping of…

原子物理 · 物理学 2018-04-25 Fabian Letscher , David Petrosyan

In this study, we investigate the problem of Anderson localization in a one-dimensional flat band lattice with a non-Hermitian quasiperiodic on-site potential. First of all, we discuss the influences of non-Hermitian potentials on the…

无序系统与神经网络 · 物理学 2025-06-12 Guang-Xin Pang , Zhi Li , Shan-Zhong Li , Yan-Yang Zhang , Jun-Feng Liu , Yi-Cai Zhang

Topological materials exhibit protected edge modes that have been proposed for applications in for example spintronics and quantum computation. While a number of such systems exist, it would be desirable to be able to test theoretical…

介观与纳米尺度物理 · 物理学 2018-10-15 Robert Drost , Teemu Ojanen , Ari Harju , Peter Liljeroth