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Landau's quasiparticle formalism is generalized to describe a wide class of strongly correlated Fermi systems, in addition to conventional Fermi liquids. This class includes (i) so-called marginal exemplars and (ii) systems that harbor…

Strongly Correlated Electrons · Physics 2024-03-12 V. A. Khodel , J. W. Clark , M. V. Zverev

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

We consider a class of strongly correlated Fermi systems that exhibit an interaction-induced flat band pinned to the Fermi surface, and generalize the Landau strategy to accommodate a flat band and apply the more comprehensive theory to…

Superconductivity · Physics 2015-06-09 V. A. Khodel , J. W. Clark , K. G. Popov , V. R. Shaginyan

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

There is a recent upsurge of interests in flat bands in condensed-matter systems and the consequences for magnetism and superconductivity. This article highlights the physics, where peculiar quantum-mechanical mechanisms for the physical…

Superconductivity · Physics 2025-10-23 Hideo Aoki

Superconductivity is traditionally viewed as a low-temperature phenomenon. Within the BCS theory this is understood to result from the fact that the pairing of electrons takes place only close to the usually two-dimensional Fermi surface…

Materials Science · Physics 2017-11-22 Tero T. Heikkila , Grigori E. Volovik

One novel arena for designing superconductors with high $T_C$ is the flat-band systems. A basic idea is that flat bands, arising from quantum mechanical interference, give unique opportunities for enhancing $T_C$ with (i) many…

Superconductivity · Physics 2020-08-03 Hideo Aoki

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

Properties of strongly correlated two-dimensional (2D) electron systems in solids are studied on the assumption that these systems undergo a phase transition, called fermion condensation, whose characteristic feature is flattening of the…

Strongly Correlated Electrons · Physics 2009-11-07 V. A. Khodel , M. V. Zverev

We explain recent challenging experimental observations of universal scattering rate related to the linear-temperature resistivity exhibited by a large corps of both strongly correlated Fermi systems and conventional metals. We show that…

Strongly Correlated Electrons · Physics 2019-10-29 V. R. Shaginyan , M. Ya. Amusia , A. Z. Msezane , V. A. Stephanovich , G. S. Japaridze , S. A. Artamonov

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

When the electronic dispersion in a material is independent of momentum, it gives rise to strongly correlated flat bands, with the single particle energy, quenched. Though the notion of flat bands had been known since long, their…

Strongly Correlated Electrons · Physics 2025-08-12 Madhuparna Karmakar

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

Flat-band (FB) materials have emerged as promising platforms for exploring exotic quantum phases. While numerous candidates have recently been identified through spectroscopic techniques such as angle-resolved photoemission spectroscopy,…

Strongly Correlated Electrons · Physics 2025-08-25 Fabian Garmroudi , Xinlin Yan , Silke Paschen , Sean M. Thomas , Eric D. Bauer , Andrej Pustogow , Priscila F. S. Rosa

Employing the duality between the momentum distribution $n(p)$ and density distribution $\rho(r)$, problems of theory of systems with flat bands, pinned to the Fermi surface, are discussed. We propose that the Lifshitz topological phase…

Strongly Correlated Electrons · Physics 2015-06-22 V. A. Khodel

Band flattening has been identified as key ingredient to correlation phenomena in Moir\'e materials and beyond. Here, we examine strongly repulsive fermions on a ladder -- a minimal platform for unconventional $d$-wave pairing -- and show…

Strongly Correlated Electrons · Physics 2025-12-25 J. P. Mendonça , S. Biswas , M. Dziurawiec , U. Bhattacharya , K. Jachymski , M. Aidelsburger , M. Lewenstein , M. M. Maśka , T. Grass

Belyaev's ideas associated with the condensate state in Bose interacting systems have stimulated intensive studies of the possible manifestation of such a condensation in Fermi systems. In many Fermi systems and compounds at zero…

Strongly Correlated Electrons · Physics 2014-09-30 V. R. Shaginyan , K. G. Popov , V. A. Khodel

While multiband systems are usually considered for flat-band physics, here we study one-band models that have flat portions in the dispersion to explore correlation effects in the 2D repulsive Hubbard model in an intermediate coupling…

Dispersionless bands, such as Landau levels, serve as a good starting point for obtaining interesting correlated states when interactions are added. With this motivation in mind, we study a variety of dispersionless ("flat") band structures…

Strongly Correlated Electrons · Physics 2013-05-29 Dmitry Green , Luiz Santos , Claudio Chamon

The phenomenon of the so called Fermion condensation, a phase transition analogous to Bose condensation but for Fermions, postulated in the past to occur in systems with strong momentum dependent forces, is reanalysed in a model with…

Condensed Matter · Physics 2009-10-28 J. Dukelsky , V. A. Khodel , P. Schuck , V. R. Shaginyan
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