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We show that due to the Landau band mixing the eigenstate localization within the disordered bands get an asymmetric structure: the degree of localization increases in the lower part of the band and decreases in the upper one. The…

介观与纳米尺度物理 · 物理学 2007-05-23 A. Aldea , M. Nita

Periodic photonic structures enable precise control over the light-matter interaction through band structure engineering. Certain lattice geometries exhibit dispersionless flat bands, characterized by vanishing group velocity and diverging…

Electronic flat bands can lead to rich many-body quantum phases by quenching the electron's kinetic energy and enhancing many-body correlation. The reduced bandwidth can be realized by either destructive quantum interference in frustrated…

In disordered lattices, itinerant electrons typically undergo Anderson localization due to random phase interference, which suppresses their motion. By contrast, in flat-band systems where electrons are intrinsically localized owing to…

介观与纳米尺度物理 · 物理学 2026-04-28 Zhe Hou , Hailong Li , Qing Yan , Yu-Hang Li , Hua Jiang

The experimentally observed metal-to-insulator transition in hydrogenated graphene is numerically confirmed for actual sized graphene samples and realistic impurity concentrations. The eigenstates of our tight-binding model with…

强关联电子 · 物理学 2012-02-13 Gerald Schubert , Holger Fehske

We study electronic transport through a one-dimensional array of sites by using a tight binding Hamiltonian, whose site-energies are drawn from a chaotic sequence. The correlation degree between these energies is controlled by a parameter…

介观与纳米尺度物理 · 物理学 2009-11-10 R. A. Pinto , M. Rodriguez , J. A. Gonzalez , E. Medina

We study Anderson localization in disordered tight-binding models on hyperbolic lattices. Such lattices are geometries intermediate between ordinary two-dimensional crystalline lattices, which localize at infinitesimal disorder, and Bethe…

无序系统与神经网络 · 物理学 2024-08-20 Anffany Chen , Joseph Maciejko , Igor Boettcher

We show that when graphene monolayers are disordered, the conductance exhibits a metallic-to-insulating transition, which opens the door to new electronic devices. The transition can be observed by driving the density or Fermi energy…

无序系统与神经网络 · 物理学 2009-12-07 M. Hilke

The band structure of some translationally invariant lattice Hamiltonians contains strictly dispersionless flatbands(FB). These are induced by destructive interference, and typically host compact localized eigenstates (CLS) which occupy a…

介观与纳米尺度物理 · 物理学 2019-03-20 Wulayimu Maimaiti , Sergej Flach , Alexei Andreanov

We give a minimal holographic model of a disorder-driven metal-insulator transition. It consists in a CFT with a charge sector and a translation-breaking sector that interact in the most generic way allowed by the symmetries and by…

高能物理 - 理论 · 物理学 2017-02-01 Matteo Baggioli , Oriol Pujolas

We explore the effect of inhomogeneity on electronic properties of the two-dimensional Hubbard model on a square lattice using dynamical mean-field theory (DMFT). The inhomogeneity is introduced via modulated lattice hopping such that in…

强关联电子 · 物理学 2019-09-27 Pramod Kumar , Tuomas I. Vanhala , Päivi Törmä

We investigate the dynamic behavior of lattices with disorder introduced through non-local network connections. Inspired by the Watts-Strogatz small-world model, we employ a single parameter to determine the probability of local connections…

应用物理 · 物理学 2022-07-27 Matheus I. N. Rosa , Massimo Ruzzene

The explicit construction of non-dispersive flat band modes and the tunability of has been reported for a hierarchical 3-simplex fractal geometry. A single band tight binding Hamiltonian defined for the deterministic self-similar…

介观与纳米尺度物理 · 物理学 2021-02-08 Atanu Nandy

The model of a strongly correlated system in which periodically spaced Anderson-Hubbard centers are introduced into narrow-band metal is considered. Besides the interactions between localized magnetic moments and strong on-site Coulomb…

强关联电子 · 物理学 2023-07-19 Yuriy Skorenkyy , Leonid Didukh , Oleksandr Kramar , Yuriy Dovhopyaty

We calculate the zero-temperature resistivity of model 3-dimensional disordered metals described by tight-binding Hamiltonians. Two different mechanisms of disorder are considered: diagonal and off-diagonal. The non-equilibrium Green…

无序系统与神经网络 · 物理学 2013-05-29 Yulia Gilman , Jamil Tahir-Kheli , Philip B. Allen , William A. Goddard

We investigate the effects of static, diagonal disorder in the $d=\infty$ Hubbard model by treating the dynamical effects of local Hubbard correlations and disorder on an equal footing. This is achieved by a proper combination of the…

强关联电子 · 物理学 2007-05-23 L. Craco , M. S. Laad , E. Müller-Hartmann

We investigate the interplay between disorder and superconducting pairing for a one-dimensional $p$-wave superconductor subject to slowly varying incommensurate potentials with mobility edges. With amplitude increments of the incommensurate…

量子气体 · 物理学 2017-12-12 Tong Liu , Hai-Yang Yan , Hao Guo

We undertake an exact numerical study of the effects of disorder on the Anderson localization of electronic states in graphene. Analyzing the scaling behaviors of inverse participation ratio and geometrically averaged density of states, we…

介观与纳米尺度物理 · 物理学 2011-05-12 Yun Song , Hongkang Song , Shiping Feng

Two-dimensional time-reversal-invariant topological superconductors host helical Majorana fermions at their boundary. We study the fate of these edge states under the combined influence of strong interactions and disorder, using the…

强关联电子 · 物理学 2023-08-09 Jun Ho Son , Jason Alicea , Olexei I. Motrunich

We examine the impact of non-magnetic disorder on the electronic states of a multilayer structure comprising layers of both topological and conventional band insulators. Employing the Burkov-Balents model with renormalized tunneling…

介观与纳米尺度物理 · 物理学 2024-04-25 Z. Z. Alisultanov , A. Kudlis