Topological basis for understanding the behavior of the heavy-fermion metal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>β</mml:mi><mml:mtext>−</mml:mtext><mml:msub><mml:mi>YbAlB</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:mrow></mml:math>under application of magnetic field and pressure

Shaginyan, V. R.; Msezane, A. Z.; Попов, К. Г.; Clark, John W.; Khodel, V. A.; Zverev, M. V.

doi:10.1103/physrevb.93.205126

Cited by 15 publications

(28 citation statements)

References 33 publications

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“…Moreover it shows an unexpected (T /B)scaling [3,5] and unusual critical exponents [6], which challenge theoretical descriptions. Diverse works [7][8][9][10][11][12] attempt to model this unconventional QC, without any possible consensus. Although the FL behavior is recovered with a moderate magnetic field, its description and formation in term of Kondo screening are still poorly understood.…”

Section: Introductionmentioning

confidence: 99%

Kondo hybridization and quantum criticality in β−YbAlB4 by laser ARPES

et al. 2018

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We report an angle-resolved photoemission (ARPES) study of β-YbAlB4, which is known to harbor unconventional quantum criticality (QC) without any tuning. We directly observe a quasiparticle peak (QP), emerging from hybridization, characterized by a binding energy and an onset of coherence both at about 4 meV. This value conforms with a previously observed reduced Kondo scale at about 40 K. Consistency with an earlier study of carriers in β-YbAlB4 via the Hall effect strongly suggests that this QP is responsible for the QC in β-YbAlB4. A comparison with the sister polymorph α-YbAlB4, which is not quantum critical at ambient pressure, further supports this result. Indeed, within the limitation of our instrumental resolution, our ARPES measurements do not show tangible sign of hybridization in this locally isomorphic system, while the conduction band we observe is essentially the same as in β-YbAlB4. We therefore claim that we identified by ARPES the carriers responsible for the QC in β-YbAlB4. The observed dispersion and the underlying hybridization of this QP are discussed in the context of existing theoretical models.

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Section: Introductionmentioning

confidence: 99%

Kondo hybridization and quantum criticality in β−YbAlB4 by laser ARPES

et al. 2018

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“…In contrast to resilience of these divergences under pressure, application of even a tiny magnetic field B is sufficient to suppress them, leading to Landau Fermi liquid (LFL) behavior at low tempera-tures, as we have seen above. Thus, the paramagnetic NFL phase of Au 51 Al 34 Yb 15 takes place without magnetic criticality, and not from quantum critical fluctuations, strongly resembling the corresponding behavior observed in β − YbAlB 4 [55,56].…”

Section: Quasicrystalsmentioning

confidence: 53%

Strongly correlated Fermi systems as a new state of matter

Shaginyan¹,

Msezane²,

Japaridze³

et al. 2016

Front. Phys.

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The aim of this review paper is to expose a new state of matter exhibited by strongly correlated Fermi systems represented by various heavy-fermion (HF) metals, two-dimensional liquids like $\rm ^3He$, compounds with quantum spin liquids, quasicrystals, and systems with one-dimensional quantum spin liquid. We name these various systems HF compounds, since they exhibit the behavior typical of HF metals. In HF compounds at zero temperature the unique phase transition, dubbed throughout as the fermion condensation quantum phase transition (FCQPT) can occur; this FCQPT creates flat bands which in turn lead to the specific state, known as the fermion condensate. Unlimited increase of the effective mass of quasiparticles signifies FCQPT; these quasiparticles determine the thermodynamic, transport and relaxation properties of HF compounds. Our discussion of numerous salient experimental data within the framework of FCQPT resolves the mystery of the new state of matter. Thus, FCQPT and the fermion condensation can be considered as the universal reason for the non-Fermi liquid behavior observed in various HF compounds. We show analytically and using arguments based completely on the experimental grounds that these systems exhibit universal scaling behavior of their thermodynamic, transport and relaxation properties. Therefore, the quantum physics of different HF compounds is universal, and emerges regardless of the microscopic structure of the compounds. This uniform behavior allows us to view it as the main characteristic of a new state of matter exhibited by HF compounds.Comment: Review paper, 20 pages, 15 figures, accepted by Frontiers of Physics. arXiv admin note: text overlap with arXiv:1311.0629, minor typos correcte

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“…The FC scenario aptly describes diverse critical behavior of strongly correlated electron systems of solids, as documented in Refs. [35,36,41,[45][46][47]. In the present article, we continue along the same line, focusing attention solely on that part of the joint phase diagram of Fig.…”

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confidence: 88%