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The crystal structure of a material creates a periodic potential that electrons move through giving rise to the electronic band structure of the material. When two-dimensional materials are stacked, the twist angle between the layers…

Strongly Correlated Electrons · Physics 2020-07-07 Zhiming Zhang , Yimeng Wang , Kenji Watanabe , Takashi Taniguchi , Keiji Ueno , Emanuel Tutuc , Brian J. LeRoy

Flat bands have attracted considerable interest in condensed matter physics because they provide a fertile platform for realizing strongly correlated and topological quantum phases. To date, however, most studies have focused on flat bands…

Superconductivity · Physics 2026-03-31 Keiji Yada , Yuri Fukaya , Yukio Tanaka

Over the past ten years, flat band (FB) or geometric superconductivity has become a major issue in condensed matter physics due to the significant technological benefits it could offer. Observations of this unconventional form of…

Superconductivity · Physics 2025-07-11 M. Thumin , G. Bouzerar

Spontaneous generation of time-reversal symmetry breaking in unconventional superconductors is currently a topic of considerable interest. While chiral superconducting order is often assumed to be the source of such signatures, they can…

Superconductivity · Physics 2024-01-11 Clara N. Breiø , Andreas Kreisel , Mercè Roig , P. J. Hirschfeld , Brian M. Andersen

Motivated by anomalously large conductivity anisotropy in layered materials, we propose a simple model of randomly spaced potential barriers (mimicking stacking faults) with isotropic impurities in between the barriers. We solve this model…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Dmitrii L. Maslov , Vladimir I. Yudson , Andres M. Somoza , Miguel Ortuño

Flat band networks are characterized by coexistence of dispersive and flat bands. Flat bands (FB) are generated by compact localized eigenstates (CLS) with local network symmetries, based on destructive interference. Correlated disorder and…

Disordered Systems and Neural Networks · Physics 2014-12-11 Joshua D. Bodyfelt , Daniel Leykam , Carlo Danieli , Xiaoquan Yu , Sergej Flach

Studying wave propagation in nonlinear discrete systems is essential for understanding energy transfer in lattices. While linear systems prohibit wave propagation within the natural band gap, nonlinear systems exhibit {supratransmission},…

Pattern Formation and Solitons · Physics 2025-09-18 R. Kusdiantara , M. Wijaya , M. F. Adhari , H. Susanto

Flat bands play an important role in the study of strongly correlated phenomena, such as ferromagnetism, superconductivity, and fractional quantum Hall effect. Here we report direct experimental evidence for the presence of flat bands,…

Mesoscale and Nanoscale Physics · Physics 2012-09-28 Lei Feng , Xianqing Lin , Lan Meng , Jia-Cai Nie , Jun Ni , Lin He

Flat bands result in a divergent density of states and high sensitivity to interactions in physical systems. While such bands are well known in systems under magnetic fields, their realization and behavior in zero-field settings remain…

Strongly Correlated Electrons · Physics 2025-08-05 Chen-Xin Jiang , Zi-Xiang Hu , Bo Yang

The capability to temporarily arrest the propagation of optical signals is one of the main challenges hampering the ever more widespread use of light in rapid long-distance transmission as well as all-optical on-chip signal processing or…

Understanding the spontaneous emergence of dislocation patterns during plastic deformation is a long standing challenge in dislocation theory. During the past decades several phenomenological continuum models of dislocation patterning were…

Materials Science · Physics 2016-06-22 Istvan Groma , Michael Zaiser , Peter Dusan Ispanovity

Flat bands have become a pillar of modern condensed matter physics and photonics owing to the vanishing group velocity and diverging density of states. Here, we present a paradigmatic scheme to construct arbitrary flat bands on demand by…

Optics · Physics 2025-11-27 Moru Song , Jingyu Hu , Lina Shi , YongliangZhang , Kai Chang

The formation of flat electronic bands from long-wavelength superperiodic moir\'e potentials in van der Waals heterostructures underpins the creation and control of a host of highly-tuneable correlated and topological phases. The underlying…

Strongly Correlated Electrons · Physics 2025-11-11 B. K. Saika , S. Buchberger , S. Mo , A. Rajan , D. Halliday , Y. -C. Yao , L. C. Rhodes , B. Sarpi , T. Balasubramanian , C. Polley , P. Wahl , P. D. C. King

A model for two-dimensional electronic, photonic, and mechanical metamaterial systems is presented, which has flat one-dimensional zero-mode energy bands and stable localized states of a topological origin confined within twin boundaries,…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Linghua Zhu , Emil Prodan , Keun Hyuk Ahn

Moir\'e materials provide a highly tunable platform in which novel electronic phenomena can emerge. We study strained moir\'e materials in a uniform magnetic field and predict highly anisotropic electrical conductivity which switches…

Mesoscale and Nanoscale Physics · Physics 2024-06-21 Nisarga Paul , Philip J. D. Crowley , Liang Fu

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…

We demonstrate that the concept of moir\'e flat bands can be generalized to achieve electronic band engineering in all three spatial dimensions. For many two dimensional van der Waals materials, twisting two adjacent layers with respect to…

Materials Science · Physics 2021-11-05 Lede Xian , Ammon Fischer , Martin Claassen , Jin Zhang , Angel Rubio , Dante M. Kennes

Dispersionless flat bands are proposed to be a fundamental ingredient to achieve the various sought after quantum states of matter including high-temperature superconductivity1-4 and fractional quantum Hall effect5-6. Materials with such…

Linear wave equations on Hamiltonian lattices with translational invariance are characterized by an eigenvalue band structure in reciprocal space. Flat band lattices have at least one of the bands completely dispersionless. Such bands are…

Disordered Systems and Neural Networks · Physics 2018-01-12 Ajith Ramachandran , Carlo Danieli , Sergej Flach

We discover a new wave localization mechanism in a periodic system without any disorder, which can produce a novel type of perfect flat band and is distinct from the known localization mechanisms, i.e., Anderson localization and flat band…

Mesoscale and Nanoscale Physics · Physics 2019-02-18 Zhen Ma , Wei-Jin Chen , Yuntian Chen , Jin-Hua Gao , X. C. Xie