Multiple Energy Scales at a Quantum Critical Point

Gegenwart, P.; Westerkamp, T.; Krellner, C.; Tokiwa, Y.; Paschen, S.; Geibel, C.; Steglich, F.; Abrahams, Elihu; Si, Qimiao

doi:10.1126/science.1136020

Cited by 235 publications

(391 citation statements)

References 31 publications

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“…1 which is adapted from Refs. [13,14]. The small ordering temperature in zero magnetic field already demonstrates that the RKKY interaction is only slightly ahead in the competition of the energy scales.…”

Section: Introductionmentioning

confidence: 94%

“…In the unconventional Kondo-breakdown scenario, by contrast, the quasiparticles disintegrate and, consequently, the Fermi-surface volume is expected to undergo a discontinuous change at the QCP. Based on this, measurements which probe the [13,14]. Both, the Néel temperature T N and the Landau-Fermi-liquid temperature T LFL were obtained from resistivity measurements.…”

Section: Introductionmentioning

confidence: 99%

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Magnetic and Electronic Quantum Criticality in YbRh2Si2

et al. 2010

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The unconventional nature of the quantum criticality in YbRh 2 Si 2 is highlighted on the basis of magnetoresistivity and susceptibility measurements. Results obtained under chemical pressure realized by isoelectronic substitution on the rhodium site are presented. These results illustrate the position of the T -line associated with a breakdown of the Kondo effect near the antiferromagnetic instability in the low-temperature phase diagram. Whereas at zero temperature the Kondo breakdown and the antiferromagnetic quantum critical point coincide in the proximity of the stoichiometric compound, they are seen to be detached under chemical pressure: For positive chemical pressure the magnetically ordered phase extends beyond the T (B)-line. For sufficiently high negative pressure the T (B)-line is separated from the magnetically ordered phase. From our detailed analysis we infer that the coincidence is retained at small iridium concentrations, i.e., at small negative chemical pressure. We outline further measurements which may help to clarify the detailed behavior of the two instabilities.

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Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Magnetic and Electronic Quantum Criticality in YbRh2Si2

et al. 2010

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“…It was concluded that the Fermi surface volume abruptly changes at the QCP. This crossover was followed up to 500 mK introducing a new energy scale which is confirmed by other transport properties as well as thermodynamic quantities [5]. In order to understand differences found in R H ðTÞ of newer samples we extended the measurements to samples of varying quality including the sample used in Ref.…”

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confidence: 93%

Band-structure and anomalous contributions to the Hall effect of YbRh2Si2

Friedemann¹,

Oeschler²,

Krellner³

et al. 2008

Physica B: Condensed Matter

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We report on Hall effect measurements on YbRh 2 Si 2 single crystals with different residual resistivity and on LuRh 2 Si 2 single crystal. The temperature dependence of the linear-response Hall coefficient of YbRh 2 Si 2 is described by the anomalous Hall effect and the normal contribution incorporating multi-band effects. Sample dependencies at low T are found and explained by slight changes in the charge-carrier concentrations. r

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“…The anticipated behavior of the spin relaxation rate Γ Q at the ordering wave vector is (for d = 3) Γ Q ∼ T 3/2 , which has indeed been observed in one heavy fermion system [6]. There are however a number of observations that cannot be explained within the SDW approach [7,8,9,10]. In CeCu 6−x Au x , at its critical concentration x c ≈ 0.1, the spin relaxation rate is linear in temperature, and the order-parameter susceptibility singularly depends on temperature and frequency with a fractional exponent [7].…”

Section: Introductionmentioning

confidence: 88%

Critical Kondo destruction and the violation of the quantum-to-classical mapping of quantum criticality

Kirchner

2009

Physica B: Condensed Matter

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Antiferromagnetic heavy fermion metals close to their quantum critical points display a richness in their physical properties unanticipated by the traditional approach to quantum criticality, which describes the critical properties solely in terms of fluctuations of the order parameter. This has led to the question as to how the Kondo effect gets destroyed as the system undergoes a phase change. In one approach to the problem, Kondo lattice systems are studied through a self-consistent Bose-Fermi Kondo model within the Extended Dynamical Mean Field Theory. The quantum phase transition of the Kondo lattice is thus mapped onto that of a sub-Ohmic Bose-Fermi Kondo model. In the present article we address some aspects of the failure of the standard order-parameter functional for the the Kondo-destroying quantum critical point of the Bose-Fermi Kondo model.

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Multiple Energy Scales at a Quantum Critical Point

Cited by 235 publications

References 31 publications

Magnetic and Electronic Quantum Criticality in YbRh2Si2

Magnetic and Electronic Quantum Criticality in YbRh2Si2

Band-structure and anomalous contributions to the Hall effect of YbRh2Si2

Critical Kondo destruction and the violation of the quantum-to-classical mapping of quantum criticality

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