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Peculiar Physics of Heavy-Fermion Metals: Theory versus Experiment. ATOMS 2022. [DOI: 10.3390/atoms10030067] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023] Open
Abstract
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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Peli S, Dal Conte S, Comin R, Nembrini N, Ronchi A, Abrami P, Banfi F, Ferrini G, Brida D, Lupi S, Fabrizio M, Damascelli A, Capone M, Cerullo G, Giannetti C. Mottness at finite doping and charge-instabilities in cuprates. NATURE PHYSICS 2017; 13:806-811. [PMID: 28781605 PMCID: PMC5540185 DOI: 10.1038/nphys4112] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/21/2016] [Accepted: 03/27/2017] [Indexed: 05/31/2023]
Abstract
The influence of the Mott physics on the doping-temperature phase diagram of copper oxides represents a major issue that is subject of intense theoretical and experimental effort. Here, we investigate the ultrafast electron dynamics in prototypical single-layer Bi-based cuprates at the energy scale of the O-2p→Cu-3d charge-transfer (CT) process. We demonstrate a clear evolution of the CT excitations from incoherent and localized, as in a Mott insulator, to coherent and delocalized, as in a conventional metal. This reorganization of the high-energy degrees of freedom occurs at the critical doping pcr ≈0.16 irrespective of the temperature, and it can be well described by dynamical mean field theory calculations. We argue that the onset of the low-temperature charge instabilities is the low-energy manifestation of the underlying Mottness that characterizes the p < pcr region of the phase diagram. This discovery sets a new framework for theories of charge order and low-temperature phases in underdoped copper oxides.
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Affiliation(s)
- S Peli
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- Department of Physics, Università degli Studi di Milano, 20133 Milano, Italy
| | - S Dal Conte
- IFN-CNR, Dipartimento di Fisica, Politecnico di Milano, 20133 Milano, Italy
| | - R Comin
- Quantum Matter Institute, University of British Columbia, Vancouver, BC V6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BC V6T 1Z1, Canada
| | - N Nembrini
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- Department of Physics, Università degli Studi di Milano, 20133 Milano, Italy
| | - A Ronchi
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- I-LAMP (Interdisciplinary Laboratories for Advanced Materials Physics), Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- Department of Physics and Astronomy, KU Leuven, Celestijnenlaan 200D, B-3001 Heverlee, Leuven, Belgium
| | - P Abrami
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- I-LAMP (Interdisciplinary Laboratories for Advanced Materials Physics), Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
| | - F Banfi
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- I-LAMP (Interdisciplinary Laboratories for Advanced Materials Physics), Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
| | - G Ferrini
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- I-LAMP (Interdisciplinary Laboratories for Advanced Materials Physics), Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
| | - D Brida
- IFN-CNR, Dipartimento di Fisica, Politecnico di Milano, 20133 Milano, Italy
- Department of Physics and Center for Applied Photonics, University of Konstanz, 78457 Konstanz, Germany
| | - S Lupi
- CNR-IOM Dipartimento di Fisica, Università di Roma La Sapienza P.le Aldo Moro 2, 00185 Rome, Italy
| | - M Fabrizio
- Scuola Internazionale Superiore di Studi Avanzati (SISSA) and CNR-IOM Democritos National Simulation Center, Via Bonomea 265, 34136 Trieste (Italy)
| | - A Damascelli
- Quantum Matter Institute, University of British Columbia, Vancouver, BC V6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BC V6T 1Z1, Canada
| | - M Capone
- Scuola Internazionale Superiore di Studi Avanzati (SISSA) and CNR-IOM Democritos National Simulation Center, Via Bonomea 265, 34136 Trieste (Italy)
| | - G Cerullo
- IFN-CNR, Dipartimento di Fisica, Politecnico di Milano, 20133 Milano, Italy
| | - C Giannetti
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- I-LAMP (Interdisciplinary Laboratories for Advanced Materials Physics), Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
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