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Physical and chemical systems can be characterized by their natural frequency and energy scales. It is hardly an exaggeration that most of what we know about such systems, from the acoustics of a violin to the energy levels of atoms, comes…

Strongly Correlated Electrons · Physics 2025-06-10 N. P. Armitage

A critical result in superconductivity is that flat bands, though dispersionless, can still host nonzero superfluid weight due to quantum geometry. We show that the derivation of the mean field superfluid weight in previous literature is…

Photonic flat bands are crucial for enabling strong localization of light and enhancing light-matter interactions, as well as tailoring the angular distribution of emission from photonic structures. These unique properties open pathways for…

We investigate the unitary evolution following a quantum quench in quantum spin models possessing a (nearly) flat band in the linear excitation spectrum. Inspired by the perspective offered by ensembles of individually trapped Rydberg…

Strongly Correlated Electrons · Physics 2018-12-05 Raphaël Menu , Tommaso Roscilde

Though several theoretical models have been proposed to design electronic flat-bands, the definite experimental realization in two-dimensional atomic crystal is still lacking. Here we propose a novel and realistic flat-band model based on…

Materials Science · Physics 2021-02-04 Jiang Zeng , Ming Lu , Haiwen Liu , Hua Jiang , X. C. Xie

In recent years, kagome materials have attracted significant attention due to their rich emergent phenomena arising from the quantum interplay of geometry, topology, spin, and correlations. However, in the search for kagome materials, it…

Materials Science · Physics 2025-01-16 Zhongqin Zhang , Jiaqi Dai , Cong Wang , Hua Zhu , Fei Pang , Zhihai Cheng , Wei Ji

Flatbands appear in many condensed matter systems, such as in high magnetic fields, correlated materials and moire heterostructures. They are characterized by intrinsic geometric properties such as the Berry curvature and Fubini-Study…

Mesoscale and Nanoscale Physics · Physics 2023-12-19 Jie Wang , Jennifer Cano , Andrew J. Millis , Zhao Liu , Bo Yang

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

Inelastic light scattering is an intensively used tool in the study of electronic properties of solids. Triggered by the discovery of high temperature superconductivity in the cuprates and by new developments in instrumentation, light…

Strongly Correlated Electrons · Physics 2009-11-11 T. P. Devereaux , R. Hackl

Complex band structure generalizes conventional band structure by also considering wavevectors with complex components. In this way, complex band structure describes both the bulk-propagating states from conventional band structure and the…

Materials Science · Physics 2017-07-20 Matthew G. Reuter

One-dimensional tight-binding lattice, single site of which possesses harmonically vibrating level is studied. The states of non-interacting electrons incident with fixed energy from infinity are considered. It is shown that at definite…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. V. Entin , M. M. Mahmoodian

We discuss the excitons in flat band systems. Quantum metric plays a central role in determining the properties of single exciton excitation as well as the exciton condensate. While the electrons and holes are extremely heavy in flat bands,…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Xuzhe Ying , K. T. Law

This work considers a two-dimensional artificial triangular anti-dot lattice (TAL); a semiconductor based artificial crystal hosting Dirac cones, flat bands and Fermi surface nesting. All such single particle features have dramatic…

Strongly Correlated Electrons · Physics 2022-02-23 Z. E. Krix , H. D. Scammell , O. P. Sushkov

The physics of strongly correlated quantum particles within a flat band was originally explored as a route to itinerant ferromagnetism and, indeed, a celebrated theorem by Lieb rigorously establishes that the ground state of the repulsive…

Strongly Correlated Electrons · Physics 2014-09-17 V. I. Iglovikov , F. Hébert , B. Grémaud , G. G. Batrouni , R. T. Scalettar

The geometric properties of a lattice can have profound consequences on its band spectrum. For example, symmetry constraints and geometric frustration can give rise to topologicially nontrivial and dispersionless bands, respectively.…

Mesoscale and Nanoscale Physics · Physics 2020-12-25 Christie S. Chiu , Da-Shuai Ma , Zhi-Da Song , B. Andrei Bernevig , Andrew A. Houck

A flat energy dispersion of electrons at the Fermi level of a material leads to instabilities in the electronic system and can drive phase transitions. Here we introduce a method to induce a flat band in two-dimensional (2D) materials. We…

Mesoscale and Nanoscale Physics · Physics 2019-12-16 N. Ehlen , M. Hell , G. Marini , E. H. Hasdeo , R. Saito , G. Di Santo , L. Petaccia , G. Profeta , A. Grüneis

In a flat Bloch band the kinetic energy is quenched and single particles cannot propagate since they are localized due to destructive interference. Whether this remains true in the presence of interactions is a challenging question because…

Strongly Correlated Electrons · Physics 2019-03-04 Murad Tovmasyan , Sebastiano Peotta , Long Liang , Päivi Törmä , Sebastian D. Huber

An interacting lattice model describing the subspace spanned by a set of strongly-correlated bands is rigorously coupled to density functional theory to enable ab initio calculations of geometric and topological material properties. The…

Strongly Correlated Electrons · Physics 2019-03-26 Ryan Requist , E. K. U. Gross

Flatband systems form a new class of materials that challenge the conventional wisdom of transport. The intrinsically strong electronic correlations combined with the vanishing kinetic energy scale suggest a sensitive dependence of…

Strongly Correlated Electrons · Physics 2025-02-03 Ohad Antebi , Johannes Mitscherling , Tobias Holder

Flat bands in lattice models have provided useful platforms for studying strong correlation and topological physics. Recently, honeycomb superlattices have been shown to host flat bands that persist in the presence of local perturbations…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Zihao Qi , Eric Bobrow , Yi Li
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