Valence Instability and the Quantum Critical Point in an Extended Periodic Anderson Model: Analysis Based on the Dynamical Mean Field Theory

Saiga, Yasuhiro; Sugibayashi, Takashi; Hirashima, Dai S.

doi:10.1143/jpsj.77.114710

Cited by 33 publications

(37 citation statements)

References 30 publications

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“…Numerical calculations by the DMRG in the d = 1 system [27] and the DMFT in the d = ∞ system [28] were also performed. The phase diagram of H PAM for a typical set of parameters of Ce-and Ybbased heavy fermion systems is shown schematically in Fig.…”

Section: Phase Diagrammentioning

confidence: 99%

New universality class of quantum criticality in Ce- and Yb-based heavy fermions

Watanabe¹,

Miyake²

2012

J. Phys.: Condens. Matter

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Abstract.A new universality class of quantum criticality emerging in itinerant electron systems with strong local electron correlations is discussed. The quantum criticality of a Ce-or Yb-valence transition gives us a unified explanation for unconventional criticality commonly observed in heavy fermion metals such as YbRh 2 Si 2 and β-YbAlB 4 , YbCu 5−x Al x , and CeIrIn 5 . The key origin is due to the locality of the critical valence fluctuation mode emerging near the quantum critical end point of the first-order valence transition, which is caused by strong electron correlations for f electrons. Wider relevance of this new criticality and important future measurements to uncover its origin are also discussed.

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Section: Phase Diagrammentioning

confidence: 99%

New universality class of quantum criticality in Ce- and Yb-based heavy fermions

Watanabe¹,

Miyake²

2012

J. Phys.: Condens. Matter

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“…As the simplest minimal model for the Ce-and Yb-based heavy-electron systems, we consider the extended periodic Anderson model Actually, theoretical calculations on the basis of H EPAM , Eq. (1), have shown that the first-order valence transition takes place for large enough U fc [21][22][23][24][25] and the corresponding T -P phase diagram is illustrated in Fig. 1(a).…”

Section: Theory Of Critical Valence Fluctuation (Cvf)mentioning

confidence: 99%

New quantum criticality revealed under pressure

Watanabe

Miyake

2017

Jpn. J. Appl. Phys.

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Unconventional quantum critical phenomena observed in Yb-based periodic crystals such as YbRh 2 Si 2 and β-YbAlB 4 have been one of the central issues in strongly correlated electron systems. The common criticality has been discovered in quasicrystal Yb 15 Au 51 Al 34 , which surprisingly persists under pressure at least up to P = 1.5 GPa. The T /H scaling where the magnetic susceptibility can be expressed as a single scaling function of the ratio of temperature T and magnetic field H has been discovered in the quasicrystal, which is essentially the same as that observed in β-YbAlB 4 . Recently, the T /H scaling as well as the common criticality has been also observed even in the approximant crystal Yb 14 Au 51 Al 35 under pressure. The theory of critical Yb-valence fluctuation gives a natural explanation for these striking phenomena in a unified way.

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“…The possibility of the valence transition in this model has been suggested by the slave boson mean-field theory [12], density matrix renormalization group [10], and dynamical mean-field theory (DMFT) [11,15]. Although the jump singularity in the curve of the f -electron number has been reported in several papers [10][11][12][13][14][15], the hysteresis has not been found clearly. Therefore, it is instructive to examine carefully this problem by means of unbiased numerical methods.…”

Section: Introductionmentioning

confidence: 99%

DMFT Study for Valence Fluctuations in the Extended Periodic Anderson Model

Shinzaki

Nasu

Koga

2016

J. Phys.: Conf. Ser.

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We study valence fluctuations at finite temperatures in the extended periodic Anderson model, where the Coulomb interaction between conduction and localized f -electrons is taken into account, using dynamical mean-field theory combined with the continuous-time quantum Monte Carlo (CT-QMC) method. The valence transition with the hysteresis is clearly found, indicating the first-order phase transition between the Kondo and mixed-valence states. We demonstrate that spin correlation rapidly develops when the system approaches the valence transition point. The comparison of the impurity solvers, the CT-QMC, non-crossing approximation, and one-crossing approximation, is also addressed.

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Valence Instability and the Quantum Critical Point in an Extended Periodic Anderson Model: Analysis Based on the Dynamical Mean Field Theory

Cited by 33 publications

References 30 publications

New universality class of quantum criticality in Ce- and Yb-based heavy fermions

New universality class of quantum criticality in Ce- and Yb-based heavy fermions

New quantum criticality revealed under pressure

DMFT Study for Valence Fluctuations in the Extended Periodic Anderson Model

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