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Tuning interactions between Dirac states in graphene has attracted enormous interest because it can modify the electronic spectrum of the two-dimensional material, enhance electron correlations, and give rise to novel condensed-matter…

In a system with a Dirac-like linear dispersion there are always states that fulfill the resonance condition for electromagnetic radiation of arbitrary frequency $\Omega$. When a flat band is present two kinds of resonant transitions are…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 M. A. Mojarro , V. G. Ibarra-Sierra , J. C. Sandoval-Santana , R. Carrillo-Bastos , Gerardo G. Naumis

Flat-band topologies and localizations in non-interacting systems are extensively studied in different quantum and classical-wave systems. Recently, the exploration on the novel physics of flat-band localizations and topologies in…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Xiaoqi Zhou , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

Flat energy bands of model lattice Hamiltonians provide a key ingredient in designing dispersionless wave excitations and have become a versatile platform to study various aspects of interacting many-body systems. Their essential merit lies…

Mesoscale and Nanoscale Physics · Physics 2021-07-15 C. V. Morfonios , M. Röntgen , M. Pyzh , P. Schmelcher

Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation, arising from either internal symmetries or fine-tuned…

Mesoscale and Nanoscale Physics · Physics 2018-06-07 Daniel Leykam , Alexei Andreanov , Sergej Flach

A flat band is nondispersive and formed under destructive interference. Although flat bands are found in various Hermitian systems, to realize a flat band in non-Hermitian systems is an interesting task. Here, we propose a flat band in a…

Quantum Physics · Physics 2019-03-07 L. Jin

Dirac points lie at the heart of many fascinating phenomena in condensed matter physics, from massless electrons in graphene to the emergence of conducting edge states in topological insulators [1, 2]. At a Dirac point, two energy bands…

Quantum Gases · Physics 2013-06-26 Leticia Tarruell , Daniel Greif , Thomas Uehlinger , Gregor Jotzu , Tilman Esslinger

Starting from the nearest-neighbor tight-binding model on {10,3} and {14,3} hyperbolic lattices that, for a uniform hopping amplitude, gives rise to emergent Dirac fermions on a curved space with a constant negative curvature, displaying a…

Strongly Correlated Electrons · Physics 2025-11-21 Christopher A. Leong , Bitan Roy

We investigate superconducting transport in the DC field induced Wannier-Stark flat bands in the presence of interactions. Flat bands offer the possibility of unconventional high temperature superconductivity, where the superfluid weight,…

Superconductivity · Physics 2024-02-28 Si Min Chan , Alexei Andreanov , Sergej Flach , G. George Batrouni

We demonstrate from a fundamental perspective the physical and mathematical origins of band warping and band non-parabolicity in electronic and vibrational structures. Remarkably, we find a robust presence and connection with pairs of…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Lorenzo Resca , Nicholas A. Mecholsky , Ian L. Pegg

We elaborate the first theoretical realization of two dimensional itinerant topological magnons, based on the quarter filled Haldane-Hubbard model with a nearly-flat electron band. By using the exact diagonalization method with a projection…

Strongly Correlated Electrons · Physics 2019-08-27 Zhao-Long Gu , Zhao-Yang Dong , Shun-Li Yu , Jian-Xin Li

The flat band system is an ideal quantum platform to investigate the kaleidoscope created by the electron-electron correlation effects. The central ingredient of realizing a flat band is to find its compact localized states. In this work,…

Strongly Correlated Electrons · Physics 2023-12-12 Yuge Chen , Juntao Huang , Kun Jiang , Jiangping Hu

Isolated flat bands with significantly quenched kinetic energy of electrons could give rise to exotic strongly correlated states from electron-electron interactions. More intriguingly, the interplay between topology and flat bands can…

Mesoscale and Nanoscale Physics · Physics 2024-08-19 Huaiqiang Wang , Yiliang Fan , Haijun Zhang

We show how Carrollian symmetries become important in the construction of one-dimensional fermionic systems with all flat-band spectra from first principles. The key ingredient of this construction is the identification of Compact Localised…

High Energy Physics - Theory · Physics 2025-08-20 Nisa Ara , Aritra Banerjee , Rudranil Basu , Bhagya Krishnan

Translationally invariant flatband Hamiltonians with interactions lead to a many-body localization transition. Our models are obtained from single particle lattices hosting a mix of flat and dispersive bands, and equipped with fine-tuned…

Statistical Mechanics · Physics 2022-02-09 Carlo Danieli , Alexei Andreanov , Sergej Flach

We propose three transition-metal adatom systems on 3C-SiC(111) surfaces as a versatile platform to realize massless Dirac fermions and flat bands with strong electronic correlations. Using density functional theory combined with the…

Strongly Correlated Electrons · Physics 2024-10-23 Henri Menke , Niklas Enderlein , Yi-Ting Tseng , Michel Bockstedte , Janina Maultzsch , Giorgio Sangiovanni , Philipp Hansmann

Advances in quantum engineering have enabled the design, measurement, and precise control of synthetic condensed matter systems. The platform of superconducting circuits offers two particular capabilities: flexible connectivity of circuit…

Quantum Physics · Physics 2023-12-19 Jeronimo G. C. Martinez , Christie S. Chiu , Basil M. Smitham , Andrew A. Houck

Electrons in condensed matter may transition into a variety of broken-symmetry phase states due to electron-electron interactions. Applying diverse mean-field approximations to the interaction term is arguably the simplest way to identify…

Strongly Correlated Electrons · Physics 2024-06-17 Maxim Trushin , Liangtao Peng , Gargee Sharma , Giovanni Vignale , Shaffique Adam

Flat-bands play a central role in the presence of correlated phases in Moir\'e and other modulated two dimensional systems. In this work, flat-bands are shown to exist in uniaxially periodic strained graphene. Such strain should be produced…

Mesoscale and Nanoscale Physics · Physics 2023-07-05 Elias Andrade , Florentino López-Urías , Gerardo G. Naumis

We consider quantum rings realized in materials where the dynamics of charge carriers mimics that of two-dimensional (2D) Dirac electrons. A general theoretical description of the ring-subband structure is developed that applies to a range…

Mesoscale and Nanoscale Physics · Physics 2018-05-17 L. Gioia , U. Zülicke , M. Governale , R. Winkler
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