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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

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

We demonstrate that an absolutely flat band retains the superconducting state at $T_c\to 0$. When $T_c>0$ the flat band disappears, since it must be modified by the superconducting state. Thus, a number of the results on ultra-strong…

Superconductivity · Physics 2025-12-05 V. R. Shaginyan , A. Z. Msezane , G. S. Japaridze

We study the stability of topologically protected zero-energy flat bands at the surface of nodal noncentrosymmetric superconductors, accounting for the alteration of the gap near the surface. Within a selfconsistent mean-field theory, we…

Superconductivity · Physics 2015-05-14 Carsten Timm , Stefan Rex , P. M. R. Brydon

We propose a new principle to realize flatbands which are robust in real materials, based on a network superstructure of one-dimensional segments. This mechanism is naturally realized in the nearly commensurate charge-density wave of…

Strongly Correlated Electrons · Physics 2020-04-08 Jongjun M. Lee , Chenhua Geng , Jae Whan Park , Masaki Oshikawa , Sung-Sik Lee , Han Woong Yeom , Gil Young Cho

Superconductivity in flatband systems has attracted tremendous attention in condensed matter physics. Alternating twisted multilayer graphene presents a compelling multiband system, with a coexistence of Dirac bands and flat bands, for…

Multicomponent superconductivity is a novel quantum phenomenon in many different superconducting materials, such as multiband ones in which different superconducting gaps open in different Fermi surfaces, films engineered at the atomic…

Superconductivity · Physics 2015-04-28 Milorad V. Milošević , Andrea Perali

The discovery of superconductivity in twisted bilayer and twisted trilayer graphene has generated tremendous interest. The key feature of these systems is an interplay between interlayer coupling and a moir\'e superlattice that gives rise…

The discovery of Fe-based superconductors (FBS) as the second class of high-temperature superconducting transition (high-Tc) materials after the cuprates generated a significant impact on the community of fundamental and applied…

Superconductivity · Physics 2018-12-27 Kazumasa Iida , Jens Hänisch , Chiara Tarantini

Ferroelectricity, band topology, and superconductivity are respectively local, global, and macroscopic properties of quantum materials, and understanding their mutual couplings offers unique opportunities for exploring rich physics and…

Superconductivity · Physics 2024-08-22 Jianyong Chen , Ping Cui , Zhenyu Zhang

Hybrid systems of superconductors and magnets display several intriguing properties, both from a fundamental physics point of view and with practical applications. Promising applications in superconducting spintronics motivate a search for…

Superconductivity · Physics 2023-12-07 Kristian Mæland , Asle Sudbø

Band theory provides the foundation for understanding electronic structure in crystalline materials, but its reliance on exact translational symmetry limits its applicability to systems with defects, disorder, incommensurate modulations, or…

Materials Science · Physics 2026-05-08 Christopher A. Bairnsfather , Ralph M. Kaufmann , Terry A. Loring , Alexander Cerjan

Designer 2D materials where the constituent layers are not aligned may result in band structures with dispersionless, "flat" bands. Twisted bilayer graphene has been found to show correlated phases as well as superconductivity related to…

Superconductivity · Physics 2023-02-03 P. Törmä , S. Peotta , B. A. Bernevig

We study the interplay between on-site disorder and fermion pairing on the quasi one-dimensional flat band Creutz lattice. Both disorder and flat bands localize particles, but an attractive interaction results in pair formation and…

Superconductivity · Physics 2025-06-16 Si Min Chan , Benoît Grémaud , G. George Batrouni

Predicting the fate of an interacting system in the limit where the electronic bandwidth is quenched is often highly non-trivial. The complex interplay between interactions and quantum fluctuations driven by the band geometry can drive…

Strongly Correlated Electrons · Physics 2023-06-02 Johannes S. Hofmann , Erez Berg , Debanjan Chowdhury

Certain lattices with specific geometries have one or more spectral bands that are strictly flat, i.e. the electron energy is independent of the momentum. This can occur robustly irrespective of the specific couplings between the lattices…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Md Nurul Huda , Shawulienu Kezilebieke , Peter Liljeroth

Nontrivial quantum geometry of electronic bands has been argued to facilitate superconductivity even for the case of flat dispersions where the conventional contribution to the superfluid weight is suppressed by the large effective mass.…

Superconductivity · Physics 2025-12-24 Maximilian Buthenhoff , Tobias Holder , Michael M. Scherer

The first-principles calculations and measurements of the magnetic penetration depths, the upper critical field, and the specific heat were performed for a family of Mo$_5$Si$_{3-x}$P$_x$ superconducotrs. First-principles calculations…

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 phenomenon of flat bands pinned to the Fermi surface is analyzed on the basis of the Landau-Pitaevskii relation, which is applicable to electron systems of solids. It is shown that the gross properties of normal states of high-$T_c$…

Superconductivity · Physics 2015-05-11 V. A. Khodel , J. W. Clark , V. R. Shaginyan , M. V. Zverev