Heavy-Electron Metals: New Highly Correlated States of Matter

Fisk, Z.; Hess, Douglas T.; Pethick, C. J.; Pines, David; Smith, J. L.; Thompson, J. D.; Willis, J.O.

doi:10.1126/science.239.4835.33

Cited by 347 publications

(206 citation statements)

References 72 publications

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“…A Curie-Weiss fit to our susceptibility data is shown in Supplementary Fig. S2 and gives θ W = − 238(2) K, which is much greater than T N and agrees with previous results 19 . The Hall resistivity ρ xy (H) in both M1 and M2 is presented in Fig.…”

Section: Magnetic Phase Diagram and Maximum In The Hall Resistivitysupporting

confidence: 91%

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Controllable chirality-induced geometrical Hall effect in a frustrated highly correlated metal

et al. 2012

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A current of electrons traversing a landscape of localized spins possessing non-coplanar magnetic order gains a geometrical (Berry) phase, which can lead to a Hall voltage independent of the spin-orbit coupling within the material-a geometrical Hall effect. Here we show that the highly correlated metal uCu 5 possesses an unusually large controllable geometrical Hall effect at T < 1.2 K due to its frustration-induced magnetic order. The magnitude of the Hall response exceeds 20% of the ν = 1 quantum Hall effect per atomic layer, which translates into an effective magnetic field of several hundred Tesla acting on the electrons. The existence of such a large geometric Hall response in uCu 5 opens a new field of enquiry into the importance of the role of frustration in highly correlated electron materials.

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Section: Magnetic Phase Diagram and Maximum In The Hall Resistivitysupporting

confidence: 91%

“…1b). Curie-Weiss fits to the magnetic susceptibility give a Weiss temperature of θ W = − 284 K, which reflects the strong anti-ferromagnetic interactions between magnetic ions 19 . Yet, UCu 5 orders magnetically at temperatures T  θ W , first at T N = 15.5 K, and then at T 2 = 1.2 K, due in part to magnetic frustration 1,2 .…”

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Controllable chirality-induced geometrical Hall effect in a frustrated highly correlated metal

et al. 2012

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“…The low-temperature properties are associated with hybridization of the localized f -electron and conduction electron states [1,2] as described by the Friedel-Anderson model. [3] There are many models for this subtle electronic state that are neither localized nor truly itinerant, but a common feature is the existence of a characteristic energy scale k B T * that delineates high-temperature magnetic (CurieWeiss law) behavior from low-temperature nonmagnetic (Pauli-like) behavior of the f -electrons.…”

Section: Introductionmentioning

confidence: 99%

Crossover between Fermi liquid and non-Fermi liquid behavior in the non-centrosymmetric compound Yb₂Ni₁₂P₇

Jang¹,

Bd²,

Ho³

et al. 2014

J. Phys.: Condens. Matter

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Abstract.A crossover from a non-Fermi liquid to a Fermi liquid phase in Yb 2 Ni 12 P 7 is observed by analyzing electrical resistivity ρ(T ), magnetic susceptibility χ(T ), specific heat C(T ), and thermoelectric power S(T ) measurements. The electronic contribution to specific heat, C e (T ), behaves as C e (T )/T ∼ − ln(T ) for 5 K < T < 15 K, which is consistent with non-Fermi liquid behavior. Below T ∼ 4 K, the upturn in C e (T )/T begins to saturate, suggesting that the system crosses over into a Fermi-liquid ground state. This is consistent with robust ρ(T )−ρ 0 = AT 2 behavior below T ∼ 4 K, with the power-law exponent becoming sub-quadratic for T > 4 K. A crossover between Fermiliquid and non-Fermi liquid behavior suggests that Yb 2 Ni 12 P 7 is in close proximity to a quantum critical point, in agreement with results from recent measurements of this compound under applied pressure.

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“…Our results provide a microscopic basis for the phenomenological two-fluid model of Kondo lattice behavior, and its evolution with pressure and temperature. Heavy-fermion materials have attracted considerable attention over the past two decades because of their unusually large effective masses arising from strong electron correlations [1,2]. These materials, which typically contain either Ce, Yb, U or Pu ions, exhibit complex behaviors arising from the interplay between localized and itinerant electrons.…”

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confidence: 99%

Universal Knight shift anomaly in the periodic Anderson model

2014

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We report a Determinant Quantum Monte Carlo investigation which quantifies the behavior of the susceptibility and the entropy in the framework of the periodic Anderson model (PAM), focussing on the evolution with different degree of conduction electron (c) -local moment (f) hybridization. These results capture the behavior observed in several experiments, including the universal behavior of the NMR Knight shift anomaly below the crossover temperature, T * . We find that T * is a measure of the onset of c-f correlations and grows with increasing hybridization. These results suggest that the NMR Knight shift and spin-lattice relaxation rate measurements in non-Fermi liquid materials are strongly influenced by temperature-dependent hybridization processes. Our results provide a microscopic basis for the phenomenological two-fluid model of Kondo lattice behavior, and its evolution with pressure and temperature.

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Heavy-Electron Metals: New Highly Correlated States of Matter

Cited by 347 publications

References 72 publications

Controllable chirality-induced geometrical Hall effect in a frustrated highly correlated metal

Controllable chirality-induced geometrical Hall effect in a frustrated highly correlated metal

Crossover between Fermi liquid and non-Fermi liquid behavior in the non-centrosymmetric compound Yb₂Ni₁₂P₇

Universal Knight shift anomaly in the periodic Anderson model

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Heavy-Electron Metals: New Highly Correlated States of Matter

Cited by 347 publications

References 72 publications

Controllable chirality-induced geometrical Hall effect in a frustrated highly correlated metal

Controllable chirality-induced geometrical Hall effect in a frustrated highly correlated metal

Crossover between Fermi liquid and non-Fermi liquid behavior in the non-centrosymmetric compound Yb2Ni12P7

Universal Knight shift anomaly in the periodic Anderson model

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Crossover between Fermi liquid and non-Fermi liquid behavior in the non-centrosymmetric compound Yb₂Ni₁₂P₇