Catalogue of flat-band stoichiometric materials

Regnault, Nicolas; Xu, Yuanfeng; Li, Ming-Rui; Ma, Da-Shuai; Jovanović, Milena; Yazdani, Ali; Parkin, S. S. P.; Felser, Claudia; Schoop, Leslie M.; Ong, N. P.; Cava, R. J.; Elcoro, Luis; Song, Zhida; Bernevig, B. Andrei

doi:10.1038/s41586-022-04519-1

Cited by 113 publications

(81 citation statements)

References 33 publications

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“…Screened materials are real and feasible. Distinct from the existing high throughput research on flat bands [83,84], we propose for the first time that the vdW materials are most likely to achieve flat-band characteristics. Such flat-band materials are easy to synthesize, peel, and transfer, which paves the way for future experimental studies.…”

Section: Discussionmentioning

confidence: 99%

Inventory of high-quality flat-band van der Waals materials

Duan¹,

Ma²,

Zhang³

et al. 2022

Preprint

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More is left to do in the field of flat bands besides proposing theoretical models. One unexplored area is the flat bands featured in the van der Waals (vdW) materials. Exploring more flat-band material candidates and moving the promising materials toward applications have been well recognized as the cornerstones for the next-generation highefficiency devices. Here, we utilize a powerful high-throughput tool to

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Section: Discussionmentioning

confidence: 99%

Inventory of high-quality flat-band van der Waals materials

Duan¹,

Ma²,

Zhang³

et al. 2022

Preprint

Self Cite

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“…Strongly correlated Fermi systems such as heavy-fermion metals, graphene, and high-T c superconductors exhibit the non-Fermi-liquid (NFL) behavior. Theoretical predictions [1][2][3][4] and experimental data collected on many of these systems show that at low temperatures a portion of their excitation spectrum becomes approximately dispersionless, giving rise to so-called flat bands and high-T c superconductivity, see, e.g., [1,[5][6][7][8][9][10][11][12]. The emergence of flat bands at low T indicates that the system is close to a special quantum critical point, namely a topological fermion condensation quantum phase transition (FCQPT), leading to the formation of flat bands dubbed the fermion condensation (FC).…”

Section: Introductionmentioning

confidence: 99%

“…This fact, see Equation (2), leads to creating high-T c superconductors [1,[5][6][7][8][9][10][11][12]. This observation is supported by special features of high-T c superconductivity based on flat bands, namely that T c is proportional to the Fermi velocity V F ∝ 1/N s (0) V F ∝ T c , rather than N s (0) ∝ 1/V F ∝ T c as stated in standard BCS-like theories [13,16] as predicted [17].…”

Section: Introductionmentioning

confidence: 99%

Peculiar Physics of Heavy-Fermion Metals: Theory versus Experiment

Shaginyan

Msezane

Japaridze

2022

Atoms

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This review considers the topological fermion condensation quantum phase transition (FCQPT) that leads to flat bands and allows the elucidation of the special behavior of heavy-fermion (HF) metals that is not exhibited by common metals described within the framework of the Landau Fermi liquid (LFL) theory. We bring together theoretical consideration within the framework of the fermion condensation theory based on the FCQPT with experimental data collected on HF metals. We show that very different HF metals demonstrate universal behavior induced by the FCQPT and demonstrate that Fermi systems near the FCQPT are controlled by the Fermi quasiparticles with the effective mass M* strongly depending on temperature T, magnetic field B, pressure P, etc. Within the framework of our analysis, the experimental data regarding the thermodynamic, transport and relaxation properties of HF metal are naturally described. Based on the theory, we explain a number of experimental data and show that the considered HF metals exhibit peculiar properties such as: (1) the universal T/B scaling behavior; (2) the linear dependence of the resistivity on T, ρ(T)∝A1T (with A1 is a temperature-independent coefficient), and the negative magnetoresistance; (3) asymmetrical dependence of the tunneling differential conductivity (resistivity) on the bias voltage; (4) in the case of a flat band, the superconducting critical temperature Tc∝g with g being the coupling constant, while the M* becomes finite; (5) we show that the so called Planckian limit exhibited by HF metals with ρ(T)∝T is defined by the presence of flat bands.

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“…It means that this new state is independent of the atomic composition of HF compounds, exhibits universal properties, and is defined by the formation of flat or approximately flat bands [ 1 , 2 , 3 , 4 , 5 , 6 , 7 ]. These bands, predicted many years ago [ 3 , 5 , 6 ] and discovered recently in graphene, see, e.g., [ 8 , 9 , 10 ], originate from a specific quantum phase transition known as the topological fermion-condensation quantum phase transition (FCQPT) that rearranges the Fermi surface into the Fermi volume, generating a flat band. Thus, for very different substances and under very different external conditions the universal topological FCQPT occurs at microscopic level, determining the macroscopic properties and universal behavior of HF compounds.…”

Section: Introductionmentioning

confidence: 99%

Strongly Correlated Quantum Spin Liquids versus Heavy Fermion Metals: A Review

et al. 2022

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This review considers the topological fermion condensation quantum phase transition (FCQPT) that explains the complex behavior of strongly correlated Fermi systems, such as frustrated insulators with quantum spin liquid and heavy fermion metals. The review contrasts theoretical consideration with recent experimental data collected on both heavy fermion metals (HF) and frustrated insulators. Such a method allows to understand experimental data. We also consider experimental data collected on quantum spin liquid in Lu3Cu2Sb3O14 and quasi-one dimensional (1D) quantum spin liquid in both YbAlO3 and Cu(C4H4N2)(NO3)2 with the aim to establish a sound theoretical explanation for the observed scaling laws, Landau Fermi liquid (LFL) and non-Fermi-liquid (NFL) behavior exhibited by these frustrated insulators. The recent experimental data on the heavy-fermion metal α−YbAl1−xFexB4, with x=0.014, and on its sister compounds β−YbAlB4 and YbCo2Ge4, carried out under the application of magnetic field as a control parameter are analyzed. We show that the thermodynamic and transport properties as well as the empirical scaling laws follow from the fermion condensation theory. We explain how both the similarity and the difference in the thermodynamic and transport properties of α−YbAl1−xFexB4 and in its sister compounds β−YbAlB4 and YbCo2Ge4 emerge, as well as establish connection of these (HF) metals with insulators Lu3Cu2Sb3O14, Cu(C4H4N2)(NO3)2 and YbAlO3. We demonstrate that the universal LFL and NFL behavior emerge because the HF compounds and the frustrated insulators are located near the topological FCQPT or are driven by the application of magnetic fields.

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Catalogue of flat-band stoichiometric materials

Cited by 113 publications

References 33 publications

Inventory of high-quality flat-band van der Waals materials

Inventory of high-quality flat-band van der Waals materials

Peculiar Physics of Heavy-Fermion Metals: Theory versus Experiment

Strongly Correlated Quantum Spin Liquids versus Heavy Fermion Metals: A Review

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