Theory of Heavy-Fermion Compounds

Amusia, M. Ya.; Попов, К. Г.; Shaginyan, V. R.; Stephanovich, V. A.

doi:10.1007/978-3-319-10825-4

Cited by 57 publications

(157 citation statements)

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“…The situation becomes quite different if we are dealing with a strongly correlated Fermi system locating near FCQPT, forming flat bands [1,4] and violating the C and T symmetries [2,3]. Figure 1(a) reports the low-temperature single-particle energy spectrum ε(k, T ).…”

Section: Asymmetric Conductivity and The Nfl Behaviormentioning

confidence: 99%

“…[8,9]. Since FC state, being highly topologically nontrivial [2,3,13], violates both C and T symmetries, the equality n s n el is no longer valid for it. The approximate equality above is replaced by the inequality n s = n F C n el , where n F C is the density of particles in FC state [17].…”

Section: Overdoped Cupratesmentioning

confidence: 99%

“…We conclude that the underlying physical mechanism of both the unusual properties of overdoped copper oxides and above asymmetry in tunneling conductivity is a fermion condensation phenomenon, see e.g. [1][2][3][4].…”

Section: Overdoped Cupratesmentioning

confidence: 99%

“…Among them is the Leggett theorem violation with n s << n t [16]. Indeed, in this case the Leggett theorem does not apply since the T-and C-invariance are violated in the systems with FC [2,3,17].…”

Section: Introductionmentioning

confidence: 99%

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Flat bands and strongly correlated Fermi systems

et al. 2019

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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 condensation of fermionic quasiparticles [1-3], being very similar to the Bose condensation. The difference is that fermions to condense, the Fermi surface should change its topology [1-4], leading to violation of time-reversal (T) and particle-hole (C) symmetries. Thus, the famous Landau theory of Fermi liquids does not work for the systems with fermion condensate (FC) so that several experimentally observable anomalies have not been explained so far.Here we use FC approach to explain recent observations of the asymmetric tunneling conductivity in heavy-fermion compounds and graphene [5][6][7] and its restoration in magnetic fields, as well as the violation of Leggett theorem [8,9], recently observed experimentally [10,11] in overdoped cuprates, and recent observation of the challenging universal scaling connecting linear-T -dependent resistivity to the superconducting superfluid density [12].

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Section: Asymmetric Conductivity and The Nfl Behaviormentioning

confidence: 99%

Section: Overdoped Cupratesmentioning

confidence: 99%

Section: Overdoped Cupratesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Flat bands and strongly correlated Fermi systems

et al. 2019

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“…Recently, the striking measurements under the application of magnetic field H on the 1D Heisenberg antiferromagnet (HAF) Cu(C 4 H 4 N 2 )(NO 3 ) 2 (CuPzN) have been performed and analyzed in terms of mapping of magnon gas in CuPzN to that of fermions. The observed thermodynamic properties of CuPzN are very unusual and nobody expects that it might belong to the class of heavy‐fermion (HF) compounds, including quasicrystals (QC) , insulators with quantum spin liquid (QSL), and metals . Similar 1D clean HF metal

{YbNi}_{4} {normalP}_{2}

has recently been studied experimentally , which reveals that it has a 1D electronic structure.…”

Section: Introductionmentioning

confidence: 99%

Magnetic quantum criticality in quasi‐one‐dimensional Heisenberg antiferromagnet

et al. 2016

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We analyze exciting recent measurements [Phys. Rev. Lett. 114 (2015) 037202] of the magnetization, differential susceptibility and specific heat on one dimensional Heisenberg antiferromagnet Cu(C 4 H 4 N 2 )(NO 3 ) 2 (CuPzN) subjected to strong magnetic fields. Using the mapping between magnons (bosons) in CuPzN and fermions, we demonstrate that magnetic field tunes the insulator towards quantum critical point related to so-called fermion condensation quantum phase transition (FCQPT) at which the resulting fermion effective mass diverges kinematically. We show that the FCQPT concept permits to reveal the scaling behavior of thermodynamic characteristics, describe the experimental results quantitatively, and derive for the first time the T − H (temperature-magnetic field) phase diagram, that contains Landau-Fermi-liquid, crossover and non-Fermi liquid parts, thus resembling that of heavy-fermion compounds.

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Introduction

Amusia¹,

Shaginyan²

2020

Springer Tracts in Modern Physics

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Theory of Heavy-Fermion Compounds

Cited by 57 publications

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Flat bands and strongly correlated Fermi systems

Flat bands and strongly correlated Fermi systems

Magnetic quantum criticality in quasi‐one‐dimensional Heisenberg antiferromagnet

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