New Superconducting and Magnetic Phases Emerge on the Magnetic Criticality in CeIn<sub>3</sub>

Kawasaki, Shinji; Mito, T.; Kawasaki, Yu; Kotegawa, Hisashi; Zheng, Guojun; Kitaoka, Y.; Shishido, Hiroaki; Araki, Shingo; Settai, Rikio; Ōnuki, Yoshichika

doi:10.1143/jpsj.73.1647

Cited by 49 publications

(59 citation statements)

References 23 publications

(58 reference statements)

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“…Superconducting domes of this type have been observed in CeRh 2 Si 2 , 16,17 CePd 2 Si 2 and CeIn 3 18,19 under pressure. Due to the competition between the SDW and the S + order the dome is split into two regions, 9 one with a pure S + phase and the other with coexisting S + and SDW, in agreement with NMR experiments for CeIn 3 , 20 for CeCu 2 (Si 0.98 Ge 0.02 ) 2 , 21 and CeRhIn 5 . 22 The results are valid in the disordered phase for weak and intermediate coupling.…”

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confidence: 81%

Commensurate and incommensurate spin-density waves in heavy electron systems

Schlottmann

2016

AIP Advances

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The nesting of the Fermi surfaces of an electron and a hole pocket separated by a nesting vector Q and the interaction between electrons gives rise to itinerant antiferromagnetism. The order can gradually be suppressed by mismatching the nesting and a quantum critical point (QCP) is obtained as the Néel temperature tends to zero. The transfer of pairs of electrons between the pockets can lead to a superconducting dome above the QCP (if Q is commensurate with the lattice, i.e. equal to G/2). If the vector Q is not commensurate with the lattice there are eight possible phases: commensurate and incommensurate spin and charge density waves and four superconductivity phases, two of them with modulated order parameter of the FFLO type. The renormalization group equations are studied and numerically integrated. A re-entrant SDW phase (either commensurate or incommensurate) is obtained as a function of the mismatch of the Fermi surfaces and the magnitude of |Q − G/2|.

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confidence: 81%

Commensurate and incommensurate spin-density waves in heavy electron systems

Schlottmann

2016

AIP Advances

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“…The observed superconducting anomalies in the resistivity T However, from our experiment we cannot definitely conclude if a homogeneous gap-less superconducting state is formed which coexists with magnetic order or if a phase separation with AF and SC volume fraction appears, as observed in CeIn 3 e.g. [24]. However, the observation of only two peaks at low temperatures in the 115 In NQR spectra due to the onset of AF at 1.6 GPa and 1.75 GPa seems to exclude an inhomogeneous state [6,25].…”

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confidence: 65%

Coexistence of antiferromagnetism and superconductivity inCeRhIn5under high pressure and magnetic field

et al. 2006

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We report on detailed ac calorimetry measurements under high pressure and magnetic field of CeRhIn5. Under hydrostatic pressure the antiferromagnetic order vanishes near p ⋆ c = 2 GPa due to a first order transition. Superconductivity is found for pressures above 1.5 GPa inside the magnetic ordered phase. However, the superconductivity differ from the pure homogeneous superconducting ground state above 2 GPa. The application of an external magnetic field H ab induces a transition inside the superconducting state above p ⋆ c which is strongly related to the re-entrance of the antiferromagnetism with field. This field-induced supplementary state vanishes above the quantum critical point in this system. The analogy to CeCoIn5 is discussed.The discovery of the cerium heavy fermion CeM In 5 (M = Co, Ir, Rh) systems opened a new route to investigate the interplay of magnetic fluctuations, unconventional superconductivity (SC) and antiferromagnetic order (AF) in strongly correlated electron systems in the vicinity of a quantum phase transition (QPT). While CeCoIn 5 and CeIrIn 5 are unconventional superconductors at ambient pressure (p)with most probably d-wave symmetry below T c = 2.2 K and T c = 0.4 K and suited very close to a QPT, CeRhIn 5 offers the possibility to tune a heavy fermion system from AF to SC as function of pressure [1,2,3]. At ambient pressure CeRhIn 5 orders antiferromagnetically below the Néel temperature T N = 3.8 K in an incommensurate helical structure with propagation vector Q = (1/2, 1/2, 0.297) and a staggered moment of about 0.8 µ B [4]. Neutron scattering experiments under pressure showed that this magnetic structure is almost unchanged under pressure up to the highest investigated pressure of 1.7 GPa [5]. SC has been reported for pressures above 0.9 GPa on the basis of resistivity measurements. Nuclear-quadrupole resonance (NQR) measurements in combination with ac susceptibility have shown that SC and AF coexist on a microscopic scale in the pressure range from p = 1.6 − 1.75 GPa [6]. The spin-lattice relaxation rate shows at low temperature an unexpected 1/T 1 ∝ T dependence which gives evidence for a gap-less nature of the low-lying excitations. A pure superconducting ground-state with line nodes in the gap is attained for p > 2 GPa and 1/T 1 ∝ T 3 has been reported [7]. Previous detailed specific heat measurements under hydrostatic pressure give evidence that the magnetic transition disappears by a first order transition at p The application of an external magnetic field H offers a second parameter to influence the competition between AF and SC. Recently it was shown that a magnetic QCP can be achieved in CeCoIn 5 by the application of a magnetic field of the order of the upper critical field H c2 (0) [10,11]. H c2 (T ) in this compound is strongly Pauli limited and the transition becomes first order at low temperatures [12,13,14]. At high magnetic field near H c2 (0) a new superconducting phase was observed which may be the first example of a Fulde-Ferrel-Ovchinnikov-Larkin (FFLO) state...

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“…Experimentally, superconducting states in antiferromagnetic systems have been more extensively studied than in ferromagnets and measurements show T s to have a dome-shaped pressure dependence crossing the underlying QCP 2,5 . However, recent work indicates that the pressure-temperature phase diagrams of antiferromagnetic systems might be more complex than previously thought 5,6,13 . As it is difficult to vary pressure continuously at low temperature, other properties of the superconducting state, such as the critical field to suppress superconductivity in CePd 2 Si 2 (ref.…”

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confidence: 92%

Acute enhancement of the upper critical field for superconductivity approaching a quantum critical point in URhGe

2007

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When a pure material is tuned to the point where a continuous phase-transition line is crossed at zero temperature, known as a quantum critical point (QCP), completely new correlated quantum ordered states can form 1-7 . These phases include exotic forms of superconductivity. However, as superconductivity is generally suppressed by a magnetic field, the formation of superconductivity ought not to be possible at extremely high field 8 . Here, we report that as we tune the ferromagnet, URhGe, towards a QCP by applying a component of magnetic field in the material's easy magnetic plane, superconductivity survives in progressively higher fields applied simultaneously along the material's magnetic hard axis. Thus, although superconductivity never occurs above a temperature of 0.5 K, we find that it can survive in extremely high magnetic fields, exceeding 28 T. (refs 5,6). Theoretically, on tuning a material towards a QCP by application of pressure or magnetic field, the strength of the magnetic fluctuations that potentially bring about superconductivity increases. On approaching a ferromagnetic QCP, longitudinal magnetic fluctuations promote the formation of unconventional spin-triplet superconductivity 9-11 . Theories predict d-wave superconductivity close to QCPs involving antiferromagnetic states. The evolution of the superconductivity as a material is tuned more closely to the field or pressure of the underlying QCP depends on the balance between the weights of fluctuations that are pair forming and pair breaking 12 . The critical temperature for superconductivity, T s , is predicted to saturate 9 or may even decrease 10 . Experimentally, superconducting states in antiferromagnetic systems have been more extensively studied than in ferromagnets and measurements show T s to have a dome-shaped pressure dependence crossing the underlying QCP 2,5 . However, recent work indicates that the pressure-temperature phase diagrams of antiferromagnetic systems might be more complex than previously thought 5,6,13 . As it is difficult to vary pressure continuously at low temperature, other properties of the superconducting state, such as the critical field to suppress superconductivity in CePd 2 Si 2 (ref. 14), lack measurements at a sufficient number of pressures to discern how they vary approaching a QCP. For URhGe, the QCP is ferromagnetic rather than antiferromagnetic and can be approached by applying a magnetic field, which can be swept continuously.In zero magnetic field, URhGe undergoes a ferromagnetic transition at T Curie = 9.5 K. Below this temperature, the ordered magnetic moment is aligned parallel or antiparallel to the crystallographic c axis 15 . Magnetic fields that correspond to opposite directions of the c-axis moment are separated in low magnetic field by a plane of first-order transitions that is crossed when the c-axis component of the magnetic field changes sign. The temperature above which this first-order transition plane ceases defines a line along which the phase transition is continuous. The schemati...

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New Superconducting and Magnetic Phases Emerge on the Magnetic Criticality in CeIn₃

Cited by 49 publications

References 23 publications

Commensurate and incommensurate spin-density waves in heavy electron systems

Commensurate and incommensurate spin-density waves in heavy electron systems

Coexistence of antiferromagnetism and superconductivity inCeRhIn5under high pressure and magnetic field

Acute enhancement of the upper critical field for superconductivity approaching a quantum critical point in URhGe

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New Superconducting and Magnetic Phases Emerge on the Magnetic Criticality in CeIn3

Cited by 49 publications

References 23 publications

Commensurate and incommensurate spin-density waves in heavy electron systems

Commensurate and incommensurate spin-density waves in heavy electron systems

Coexistence of antiferromagnetism and superconductivity inCeRhIn5under high pressure and magnetic field

Acute enhancement of the upper critical field for superconductivity approaching a quantum critical point in URhGe

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New Superconducting and Magnetic Phases Emerge on the Magnetic Criticality in CeIn₃