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Recent findings of anomalous super-linear scaling of low temperature ($T$) penetration depth (PD) in several nodal superconductors near putative quantum critical points suggest that the low temperature PD can be a useful probe of quantum…

Strongly Correlated Electrons · Physics 2015-07-08 Jian-Huang She , Michael J. Lawler , Eun-Ah Kim

In the heavily hole-doped iron-based superconductors $A$Fe$_2$As$_2$ ($A=$ K, Rb, and Cs), the electron effective mass increases rapidly with alkali-ion radius. To study how the mass enhancement affects the superconducting state, we measure…

The in-plane resistivity $\rho$ and thermal conductivity $\kappa$ of FeAs-based superconductor KFe$_2$As$_2$ single crystal were measured down to 50 mK. We observe non-Fermi-liquid behavior $\rho(T) \sim T^{1.5}$ at $H_{c_2}$ = 5 T, and the…

Superconductivity · Physics 2013-05-29 J. K. Dong , S. Y. Zhou , T. Y. Guan , H. Zhang , Y. F. Dai , X. Qiu , X. F. Wang , Y. He , X. H. Chen , S. Y. Li

The quasi-skutterudites (Ca$_{x}$Sr$_{1-x}$)$_{3}$(Rh, Ir)$_{4}$Sn$_{13}$ show a rare nonmagnetic quantum critical point associated with the second-order charge-density-wave (CDW) and structural distortion transition extended under the…

We report upper critical field $B_{c2}(T)$ measurements on a single-crystalline sample of the ferromagnetic superconductor UCoGe. $B_{c2}(0)$ obtained for fields applied along the orthorhombic axes exceeds the Pauli limit for $B \parallel…

Superconductivity · Physics 2009-11-13 N. T. Huy , D. E. de Nijs , Y. K. Huang , A. de Visser

Superconductivity mediated by spin fluctuations in weak and nearly ferromagnetic metals is studied close to the zero-temperature magnetic transition. We solve analytically the Eliashberg equations for p-wave pairing and obtain the normal…

Superconductivity · Physics 2009-11-07 Ziqiang Wang , Wenjin Mao , Kevin Bedell

In unconventional superconductors, it is generally believed that understanding the physical properties of the normal state is a pre-requisite for understanding the superconductivity mechanism. In conventional superconductors like niobium or…

At quantum critical points (QCP) \cite{Pfeuty:1971,Young:1975,Hertz:1976,Chakravarty:1989,Millis:1993,Chubukov:1 994,Coleman:2005} there are quantum fluctuations on all length scales, from microscopic to macroscopic lengths, which,…

Strongly Correlated Electrons · Physics 2007-05-23 Angela Kopp , Sudip Chakravarty

The properties of a conventional type-II superconductor near the upper critical field are usually calculated using a perturbative expansion in the strength of the order parameter. Here we show that perturbation theory breaks down near the…

Condensed Matter · Physics 2009-10-28 Safi R. Bahcall

We report measurements of magnetic quantum oscillations and specific heat at low temperatures across a field-induced antiferromagnetic quantum critical point (QCP)(B_{c0}\approx50T) of the heavy-fermion metal CeRhIn_5. A sharp…

Strongly Correlated Electrons · Physics 2015-02-02 L. Jiao , H. Q. Yuan , Y. Kohama , E. D. Bauer , J. -X. Zhu , J. Singleton , T. Shang , J. L. Zhang , Y. Chen , H. O. Lee , T. Park , M. Jaime , J. D. Thompson , F. Steglich , Q. Si

We study the timely issue of charge order checkerboard patterns observed in a variety of cuprate superconductors. We suggest a minimal model in which strong quantum fluctuations in the vicinity of a single antiferromagnetic quantum critical…

Strongly Correlated Electrons · Physics 2014-06-19 H. Meier , C. Pépin , M. Einenkel , K. B. Efetov

Although superconductivity in the vicinity of antiferromagnetic (AFM) instability has been extensively explored in the last three decades or so, superconductivity in compounds with a background of ferromagnetic (FM) spin fluctuations is…

Strongly Correlated Electrons · Physics 2019-07-26 J. Luo , J. Yang , R. Zhou , Q. G. Mu , T. Liu , Zhi-an Ren , C. J. Yi , Y. G. Shi , Guo-qing Zheng

Quantum criticality describes the collective fluctuations of matter undergoing a second-order phase transition at zero temperature. It is being discussed in a number of strongly correlated electron systems. A prototype case occurs in the…

Strongly Correlated Electrons · Physics 2011-02-28 Qimiao Si

Quantum criticality in iron pnictides involves both the nematic and antiferromagnetic degrees of freedom, but the relationship between the two types of fluctuations has yet to be clarified. Here we study this problem in the presence of a…

Strongly Correlated Electrons · Physics 2020-11-24 Chia-Chuan Liu , Elihu Abrahams , Qimiao Si

We elaborate on several observable consequences of the Quantum-Critical-Point scenario. In particular we show that the strong k-dependent scattering of the quasiparticles with the quasi-critical charge and spin fluctuations reproduces the…

Superconductivity · Physics 2009-10-31 C. Di Castro , L. Benfatto , S. Caprara , C. Castellani , M. Grilli

Overdoped cuprate superconductors are strange metals above their superconducting transition temperature. In such materials, the electrical resistivity has a strong linear dependence on temperature ($T$) and electrical current is not carried…

The behaviour of matter near zero temperature continuous phase transitions, or 'quantum critical points' (QCPs) is a central topic of study in condensed matter physics. In fermionic systems, fundamental questions remain unanswered: the…

Strongly Correlated Electrons · Physics 2015-05-30 A. W. Rost , S. A. Grigera , J. A. N. Bruin , R. S. Perry , D. Tian , S. Raghu , S. A. Kivelson , A. P. Mackenzie

In many unconventional superconductors, the strange-metal regime is thought to emerge from quantum criticality, yet in cuprates this link is obscured by the enigmatic pseudogap. Superconducting infinite-layer nickelates provide a new arena…

We review our recent studies on ferromagnetic superconductors, UGe2, URhGe and UCoGe, together with the ferromagnetic quantum criticality and paramagnetic singularity on the Ising 5f-itinerant system UCoAl. Thanks to the variety of ordered…

Strongly Correlated Electrons · Physics 2014-07-02 Dai Aoki , Jacques Flouquet

Recent experiments in iron pnictide superconductors reveal that, as the putative magnetic quantum critical point is approached, different types of magnetic order coexist over a narrow region of the phase diagram. Although these magnetic…

Superconductivity · Physics 2018-08-01 Morten H. Christensen , Peter P. Orth , Brian M. Andersen , Rafael M. Fernandes