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We consider a realistic model, i.e., ultracold atoms in a driven optical lattice, to realize phase space crystals [Phys. Rev. Lett. 111, 205303 (2013)]. The corresponding lattice structure in phase space is more complex and contains rich…

Quantum Gases · Physics 2016-02-02 Lingzhen Guo , Michael Marthaler

Flat band materials such as the kagome metals or moir\'e superlattice systems are of intense current interest. Flat bands can result from the electron motion on numerous (special) lattices and usually exhibit topological properties. Their…

Strongly Correlated Electrons · Physics 2024-05-28 Joseph G. Checkelsky , B. Andrei Bernevig , Piers Coleman , Qimiao Si , Silke Paschen

Quantum materials with bands of narrow bandwidth near the Fermi level represent a promising platform for exploring a diverse range of fascinating physical phenomena, as the high density of states within the small energy window often enables…

Flat-band materials have garnered extensive attention due to their captivating properties associated with strong correlation effects. While flat bands have been discovered in several types of 2D materials, their existence in 1D systems…

The presence of flat bands is a source of localization in lattice systems. While flat bands are often unstable with respect to interactions between the particles, they can persist in certain cases. We consider a diamond ladder with…

Statistical Mechanics · Physics 2023-07-19 Mirko Daumann , Robin Steinigeweg , Thomas Dahm

Flat-band periodic materials are characterized by a linear spectrum containing at least one band where the propagation constant remains nearly constant irrespective of the Bloch momentum across the Brillouin zone. These materials provide a…

Pattern Formation and Solitons · Physics 2024-09-24 Shuang Shen , Yiqi Zhang , Yaroslav V. Kartashov , Yongdong Li , Vladimir V. Konotop

Motivated by the recent theoretical studies on a two-dimensional (2D) chiral Hamiltonian based on the Su-Schrieffer-Heeger chains, we experimentally and computationally demonstrate that topological flat frequency bands can occur at open…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Kai Qian , Linghua Zhu , Keun Hyuk Ahn , Camelia Prodan

Topological insulators and their intriguing edge states can be understood in a single-particle picture and can as such be exhaustively classified. Interactions significantly complicate this picture and can lead to entirely new insulating…

Strongly Correlated Electrons · Physics 2013-09-10 Emil J. Bergholtz , Zhao Liu

A flat band can be studied an infinitely strong coupling, realized in a simple system. Therefore, its holographic realization should be interesting. Laia and Tong gave a realization of the flat band over the entire momentum region by…

High Energy Physics - Theory · Physics 2022-11-23 Jeong-Won Seo , Taewon Yuk , Young-Kwon Han , Sang-Jin Sin

Some materials can have the dispersionless parts in their electronic spectra. These parts are usually called flat bands and generate the corps of unusual physical properties of such materials. These flat bands are induced by the…

Strongly Correlated Electrons · Physics 2019-05-22 V. R. Shaginyan , A. Z. Msezane , V. A. Stephanovich , G. S. Japaridze , E. V. Kirichenko

In this review we recapitulate the basic features of the flat-band spin systems and briefly summarize earlier studies in the field. Main emphasis is made on recent developments which include results for both spin and electron flat-band…

Strongly Correlated Electrons · Physics 2015-05-15 Oleg Derzhko , Johannes Richter , Mykola Maksymenko

We study the broadening of initially localized wave packets in a quasi one-dimensional diamond ladder with interacting, spinless fermions. The lattice possesses a flat band causing localization. We place special focus on the transition away…

Statistical Mechanics · Physics 2024-06-04 Mirko Daumann , Thomas Dahm

Optical lattice loaded with cold atoms can exhibit a tunable photonic band gap for a weak probe field under the conditions of electromagnetically induced transparency. This system possesses a number of advantageous properties, including…

Quantum Physics · Physics 2011-11-10 David Petrosyan

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

The interplay of hopping parameters that can give rise to flat bands in consequence of quantum interference in electronic, photonic, and other interesting materials has become an extensively studied topic. Most of the recognized structures…

Materials Science · Physics 2019-08-02 Chi-Cheng Lee , Antoine Fleurence , Yukiko Yamada-Takamura , Taisuke Ozaki

Recently, several experiments have illustrated that metal surface electrons can be manipulated to form a two dimensional (2D) lattice by depositing a designer molecule lattice on metal surface. This offers a promising new technique to…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Wen-Xuan Qiu , Shuai Li , Jin-Hua Gao , Yi Zhou , Fu-Chun Zhang

We report on a study of a one-dimensional linear photonic lattice hosting, simultaneously, fundamental and dipolar modes at every site. We show how, thanks to the interaction between the different orbital modes, this minimal model exhibits…

Optics · Physics 2020-08-12 Gabriel Caceres-Aravena , Luis E F Foa , Rodrigo A Vicencio

The increased ability to engineer two-dimensional (2D) systems, either using materials, photonic lattices, or cold atoms, has led to the search for 2D structures with interesting properties. One such property is the presence of flat bands.…

Strongly Correlated Electrons · Physics 2023-12-05 Jun-Hyung Bae , Tigran Sedrakyan , Saurabh Maiti

Controlling light-matter interactions is central to photonic technologies ranging from lasers to optical information processing. Suitably designed photonic structures give rise to flat (dispersionless) bands, where the density of states…

Recent experiments have revealed the tantalizing possibility of fabricating lattice electronic systems strongly coupled to quantum fluctuations of electromagnetic fields, e.g., by means of geometry confinement from a cavity or artificial…

Strongly Correlated Electrons · Physics 2022-05-03 Jiajun Li , Lukas Schamriß , Martin Eckstein