Phenomenological theory of non-Fermi-liquid heavy-fermion alloys

Tsvelik, A. M.; Reizer, Michael

doi:10.1103/physrevb.48.9887

Cited by 155 publications

(81 citation statements)

References 10 publications

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“…A general argument 55,56 can be made that no single ion model where individual magnetic moments fluctuate incoherently is consistent with the critical exponents γ and β found from the low temperature magnetic susceptibility χ ′ and magnetization M(B,T)/B≃T −γ F (B/T γ+β ). Specifically, the correlation function that relates a moment S at time t and at t=0 follows a power law <S(t)·S(0)>≃ 1/|t| 2∆ , where 1-∆=β+γ.…”

Section: Discussionmentioning

confidence: 62%

Field-tuned Fermi liquid in quantum critical YFe2Al10

Park

Janssen

et al. 2011

Phys. Rev. B

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We present here measurements of the magnetization M, ac susceptibility χ ′ , electrical resistivity ρ, and specific heat C in single crystals of metallic YFe2Al10. The magnetic susceptibility follows a Curie-Weiss temperature dependence for 75 K≤T≤750 K, with a fluctuating Fe moment of 0.45 µB/Fe, and the ac susceptibility χ ′ diverges at lower temperatures χ ′ ∼T −1.28±0.04 when the ac field is in the basal plane. The field B and temperature T dependencies of the magnetization M are well described by the scaling expression MT −β =F(B/T β+γ ) for 1.8 K≤T≤30 K and for fields larger than 0.1 T. These results indicate that strong quasi-two dimensional critical fluctuations are present that can be suppressed by magnetic fields. The magnetic and electronic parts of the specific heat CM show a similar divergence for 0.4 K≤T≤12 K, where CM /T∼T −0.47±0.03 . The divergences in χ ′ and CM /T indicate that YFe2Al10 is located near a quantum critical point, and no magnetic order is observed above 0.09 K. We argue that our results are inconsistent with quantum impurity or disorder models, suggesting instead that YFe2Al10 is on the verge of bulk magnetic ordering, and that the critical fluctuations that are associated with this quantum critical point lead to the divergencies in CM /T and χ ′ .

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Section: Discussionmentioning

confidence: 62%

Field-tuned Fermi liquid in quantum critical YFe2Al10

Park

Janssen

et al. 2011

Phys. Rev. B

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“…H 2 60 kG collapse onto one universal curve. Such scaling behavior (Tsvelik ,1993) with /3 between 1.05 and 1.6 was observed for a number of materials that demonstrate NFL properties (Trovarelli, 2000;Andraka, 1991;Lenkewitz, 1997;Heuser, 1998;KGrner, 2000) and may be considered as further corroboration of the proximity of YbAgGe to a QCP.…”

Section: H 11 (Ab)mentioning

confidence: 54%

“…One of the expressions considered in the scaling analysis at a QCP (Tsvelik, 1993) (Paschen, 2004) and YbAgGe (Bud'ko, ZOOS), the HITO range over which universal scaling was observed in high fields corresponded to 1/T < 3 K-l, and 1.2 K-l respectively (with p > I). Due to shown in Fig.9.6.…”

Section: H 11 Abmentioning

confidence: 99%

Field-induced magnetic phase transitions and correlated electronic states in the hexagonal RAgGE and RPtIn series

Morosan

2005

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“…Theoretical models based on single ion physics include a multichannel Kondo effect, of either magnetic or electric (quadrupolar) origin [12][13][14][15][16] and a single channel Kondo effect with a distribution of Kondo temperatures due to chemical disorder (referred to as the "Kondo disorder" model) [10,11]. Theoretical models that incorporate interionic interactions include fluctuations of an order parameter in the vicinity of a second order phase transition at 0 K (quantum critical point model) [37][38][39][40][41][42][43][44], an inhomogeneous Griffiths phase [17], or ferromagnetic order [45]. The Griffiths phase consists of magnetic clusters in a paramagnetic phase and forms as a result of the competition between the Kondo effect and the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in the presence of magnetic anisotropy and disorder.…”

Section: Routes To Non-fermi Liquid Behaviormentioning

confidence: 99%

Non-Fermi Liquid Regimes and Superconductivity in the Low Temperature Phase Diagrams of Strongly Correlated d- and f-Electron Materials

et al. 2010

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Standard models for simple metals and insulators often fail for systems based on elements with unstable d-or f -electron shells, where strong electronic correlations can generate new and unexpected states of matter. Such a scenario can often be induced when a magnetic phase transition is tuned to absolute zero temperature by an external control parameter such as chemical composition, pressure or magnetic field. At the resulting quantum critical point (QCP), emergent phenomena, such as unconventional superconductivity and novel magnetic phases are frequently observed. The temperature and energy dependences of the physical properties are also found to deviate from expectations for a simple Fermi liquid. This "non-Fermi-liquid" (NFL) behavior is commonly manifested as weak power laws and logarithmic divergences in the physical properties at low temperatures and is often found in a V-shaped region near a QCP, which has become the "classic" QCP phase diagram. However, there is also a growing number of materials where the NFL behavior either occurs far away from the QCP, within an ordered phase, or may not be associated with any putative QCP. Thus, after nearly 20 years of research, it remains unknown whether NFL physics is universal, or if a multitude of unique subclasses exist. In this article, we review research that has primarily been carried out in our laboratory on systems that exhibit NFL behavior that does not conform to the "classic" QCP scenario.

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Phenomenological theory of non-Fermi-liquid heavy-fermion alloys

Cited by 155 publications

References 10 publications

Field-tuned Fermi liquid in quantum critical YFe2Al10

Field-tuned Fermi liquid in quantum critical YFe2Al10

Field-induced magnetic phase transitions and correlated electronic states in the hexagonal RAgGE and RPtIn series

Non-Fermi Liquid Regimes and Superconductivity in the Low Temperature Phase Diagrams of Strongly Correlated d- and f-Electron Materials

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