Layered Kondo Lattice Model for Quantum Critical<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi><mml:mtext mathvariant="normal">−</mml:mtext><mml:msub><mml:mi>YbAlB</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math>

Nevidomskyy, Andriy H.; Coleman, Piers

doi:10.1103/physrevlett.102.077202

Cited by 72 publications

(77 citation statements)

References 31 publications

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“…2) are confirmed by the old algorithm when it is told where in the Brillouin zone they are located. Such agreement has also been the case with other heavy fermion compounds of current interest: in both YbRh 2 Si 2 and β-YbAlB 4 , predicted dHvA frequencies extracted from electronic structure calculations using our algorithm [17,18,19] agree with those obtained using other theoretical techniques [20,21] and correspond to frequencies observed experimentally [17,18,20,21].…”

Section: Uptsupporting

confidence: 85%

Numerical extraction of de Haas–van Alphen frequencies from calculated band energies

Rourke

Julian

2012

Computer Physics Communications

185

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A new algorithm for extracting de Haas-van Alphen frequencies and effective masses from calculated band energies is presented. The algorithm creates an interpolated kspace "super cell," which is broken into slices perpendicular to the desired magnetic field direction. Fermi surface orbits are located within each slice, and de Haas-van Alphen frequencies and effective masses are calculated. Orbits are then matched across slices, and extremal orbits determined. This technique has been successful in locating extremal orbits not previously noticed in the complicated topology of existing UPt 3 band-structure data; these new orbits agree with experimental de Haas-van Alphen measurements on this material, and solidify the case for a fullyitinerant model of UPt 3 .

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Section: Uptsupporting

confidence: 85%

Numerical extraction of de Haas–van Alphen frequencies from calculated band energies

Rourke

Julian

2012

Computer Physics Communications

185

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“…This work was supported by the EPSRC, the Royal Society, I2CAM NSF grant DMR-0645461, Trinity College (Cambridge), Florida State University, JSPS (18684020) and MEXT(17071003, 19014006) of Japan. During preparation of this manuscript, we became aware of electronic band structure calculations performed by Nevidomskyy et al [17], yielding results similar to those presented here.…”

supporting

confidence: 74%

Role offElectrons in the Fermi Surface of the Heavy Fermion Superconductorβ−YbAlB4

et al. 2009

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We present a detailed quantum oscillation study of the Fermi surface of the recently discovered Yb-based heavy fermion superconductor β-YbAlB4. We compare the data, obtained at fields from 10 to 45 Tesla, to band structure calculations performed using the local density approximation. Analysis of the data suggests that fholes participate in the Fermi surface up to the highest magnetic fields studied. We comment on the significance of these findings for the unconventional superconducting properties of this material. PACS numbers: 71.18.+y, 71.20.Eh, 71.27.+a, 75.30.Mb, 75.10.Lp The recent demonstration of superconductivity in the heavy fermion compound β-YbAlB 4 [1] provided a breakthrough in the search for a ytterbium-based analogue of the numerous cerium heavy fermion superconductors [2,3,4]. Theoretical models of f electron metals often describe the low temperature dynamics in terms of the dense Kondo lattice hamiltonian [5]. In this framework, it is expected that hole and electron like materials should realize similar ground states. While Yb in a 4f 13 electronic configuration is the hole counterpart to 4f 1 Ce, superconductivity in Yb-based materials [6,7] has proved strangely elusive in contrast to those containing Ce, until the discovery of superconductivity in β-YbAlB 4 .Single crystals of β-YbAlB 4 grow in a plate-like morphology, with a crystal structure corresponding to that of ThMoB 4 [8]. In contrast to the more common square Yb superlattice, the Yb ions in β-YbAlB 4 form a lower symmetry distorted hexagon, with Yb and Al atoms in the basal ab-plane sandwiched between nets containing an unusual arrangement of heptagonal and pentagonal B rings. Alloying with smaller interstitial atoms favours a smaller 4f 13 ionic configuration with the shortest Yb-Yb bond length lying along the c-axis. Experimental studies of the magnetic susceptibility [1] show a large Ising-like moment along the easy [001] axis, these measurements demonstrate the presence of local moments at high temperatures.The occurrence of superconductivity with T c = 80 mK in the cleanest samples of β-YbAlB 4 with ρ 0 0.8µΩcm raises the intriguing question of how superconductivity develops out of this local moment system. Further evidence of novel correlated electron behaviour [1] is signaled by low temperature non-Fermi liquid (NFL) behaviour, with the magnetic susceptibility diverging for applied magnetic field B c, accompanied by an electrical resistivity ρ ∝ T 3/2 . Application of a small magnetic field at low temperature recovers FL behaviour with enhanced specific heat coefficient γ (generally referred to as a heavy FL), suggesting that the f -electron bands hybridize with the conduction electrons and thereby contribute to the Fermi volume [9]. Individual local moment behaviour is found to be recovered above an energy scale of. This thermodynamic and transport evidence for strongly correlated electron behaviour in β-YbAlB 4 provides impetus to study the electronic structure.In this Letter we present a study of the Fermi surface (FS) of...

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“…6,13) Since the analysis of the CEF-level scheme, which well reproduces the anisotropy of the magnetic susceptibility, deduces that a hybridization node exists along the c-axis in β-YbAlB 4 , [13][14][15] we employ the anisotropic hybridization in the form of V k = V(1 −k 2 z ) witĥ k ≡ k/|k| to simulate β-YbAlB 4 most simply. The results are shown in Fig.…”

Section: Equation [Eq (6)] and Finally Obtain Y(t)mentioning

confidence: 99%

T/B Scaling in β-YbAlB₄

Watanabe

Miyake

2014

J. Phys. Soc. Jpn.

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The scaling behavior over four decades of the ratio of temperature T to magnetic field B observed in the magnetization in β-YbAlB 4 is theoretically examined. By developing a theoretical framework that exhibits the quantum critical phenomena of Yb-valence fluctuations under a magnetic field, we show that the T/B-scaling behavior can appear near the quan- Quantum critical phenomena in itinerant electron systems that do not follow the conventional spin-fluctuation theory [1][2][3][4] have attracted attention in condensed matter physics. 5) The heavy-electron metal β-YbAlB 4 has recently attracted great interest since the unconventional quantum criticality, such as the magnetic susceptibility χ ∼ T −0.5 , the electronic specific-heat coefficient C e /T ∼ − log T , and approximately T -linear resistivity, has been observed at low temperatures at least below 3 K down to a few hundred mK. 6,7) Interestingly, from the magnetization data for T < ∼ 3 K and the magnetic field B < ∼ 2 T, in β-YbAlB 4 it has been discovered that the magnetic susceptibility χ shows the following T/B scaling behavior over four decades of T/B:where µ B and k B are the Bohr magneton and Boltzmann constant, respectively, and ϕ is the function ϕ(x) = Λ(Γ 2 + x 2 ) 1/4 with Λ and Γ being constants. 7) Namely, χ −1 /(µ B B) 1/2 is expressed as a single scaling function of the ratio T/B.This striking behavior of Eq. (1) calls for theoretical explanation, and it has so far been proposed that anisotropic hybridization between f and conduction electrons is the key origin

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Layered Kondo Lattice Model for Quantum Criticalβ−YbAlB4

Cited by 72 publications

References 31 publications

Numerical extraction of de Haas–van Alphen frequencies from calculated band energies

Numerical extraction of de Haas–van Alphen frequencies from calculated band energies

Role offElectrons in the Fermi Surface of the Heavy Fermion Superconductorβ−YbAlB4

T/B Scaling in β-YbAlB₄

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Layered Kondo Lattice Model for Quantum Criticalβ−YbAlB4

Cited by 72 publications

References 31 publications

Numerical extraction of de Haas–van Alphen frequencies from calculated band energies

Numerical extraction of de Haas–van Alphen frequencies from calculated band energies

Role offElectrons in the Fermi Surface of the Heavy Fermion Superconductorβ−YbAlB4

T/B Scaling in β-YbAlB4

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T/B Scaling in β-YbAlB₄