Magnetic field induced pattern of coexisting condensates in the superconducting state of CeCoIn$_5$

Aperis, A.; Varelogiannis, G.; Littlewood, P. B.

doi:10.48550/arxiv.0902.0553

Cited by 3 publications

(14 citation statements)

References 21 publications

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“…Therefore, the other quantum condensed state likely emerges in the HFSC phase of CeCoIn 5 , such as the FFLO superconductivity investigated in this paper or the π-triplet pairing (pair density wave) proposed by other authors. 31,32,34…”

Section: Summary and Discussionmentioning

confidence: 99%

“…The d-wave spin singlet pairing is finite in the entire superconducting region, while the π-triplet pairing appears in the state of coexisting AFM order and superconductivity. [31][32][33][37][38][39][40] Because of the linear coupling between the magnetic, spin singlet pairing, and π-triplet pairing order parameters, two finite order parameters among them induce the other order parameter. Our model eq.…”

Section: Formulationmentioning

confidence: 99%

“…The second mechanism is the linear coupling between the AFM order and the π-triplet pairing that favors the AFM order in the spin singlet superconducting state. It has been shown that this coupling stabilizes the AFM state in the BCS state 31,32 and that in the Fulde-Ferrell state. 33 In contrast to the previous studies, 31,32 the π-triplet pairing state without the AFM order is hardly stabilized in our model.…”

Section: Phase Diagrammentioning

confidence: 99%

“…It has been shown that this coupling stabilizes the AFM state in the BCS state 31,32 and that in the Fulde-Ferrell state. 33 In contrast to the previous studies, 31,32 the π-triplet pairing state without the AFM order is hardly stabilized in our model. However, the coupling to the π-triplet pairing significantly stabilizes the AFM order in the Larkin-Ovchinnikov state.…”

Section: Phase Diagrammentioning

confidence: 99%

“…We have investigated the AFM order arising from the nodal quasiparticles in the inhomogeneous Larkin-Ovchinnikov state. 30 The SDW order triggered by the emergence of π-triplet pairing [31][32][33][34] has been investigated in the BCS state 31,32,34 and in the homogeneous Fulde-Ferrell state. 33 In this study, we examine the AFM-FFLO state, in which the AFM order appears in the inhomogeneous FFLO state, on the basis of BdG equations.…”

Section: Introductionmentioning

confidence: 99%

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Antiferromagnetic Order and π-Triplet Pairing in the Fulde–Ferrell–Larkin–Ovchinnikov State

2009

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The antiferromagnetic Fulde-Ferrell-Larkin-Ovchinnikov (AFM-FFLO) state of coexisting d-wave FFLO superconductivity and incommensurate AFM order is studied on the basis of Bogoliubovde Gennes (BdG) equations. We show that the incommensurate AFM order is stabilized in the FFLO state by the appearance of the Andreev bound state localized around the zeros of the FFLO order parameter. The AFM-FFLO state is further enhanced by the induced -triplet superconductivity (pair density wave). The AFM order occurs in the FFLO state even when it is neither stable in the normal state nor in the BCS state. The order parameters of the AFM order, d-wave superconductivity, and -triplet pairing are investigated by focusing on their spatial structures. Roles of the spin fluctuations beyond the BdG equations are discussed. Their relevance to the high-field superconducting phase of CeCoIn 5 is discussed.

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Section: Summary and Discussionmentioning

confidence: 99%

Section: Formulationmentioning

confidence: 99%

Section: Phase Diagrammentioning

confidence: 99%

Section: Phase Diagrammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Antiferromagnetic Order and π-Triplet Pairing in the Fulde–Ferrell–Larkin–Ovchinnikov State

2009

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Coexistence ofd-wave superconductivity and antiferromagnetism induced by paramagnetic depairing

Hatakeyama

Ikeda²

2011

J. Phys.: Conf. Ser.

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It is shown theoretically that, in the superconducting state with d x 2 −y 2 -pairing, a strong Pauli paramagnetic depairing (PD) induces not only the modulated Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superconducting state but also an incommensurate antiferromagnetic (AFM) (or spin-density wave) ordering with Q-vector nearly parallel to a gap node. In this mechanism of field-induced coexistence of the d-wave superconducting and AFM orders, a pairdensity wave does not have to be assumed. It is argued that this is the common origin of both the coexistent FFLO and AFM phases of CeCoIn5 and the AFM quantum critical behavior around the superconducting Hc2(0) seen in several unconventional superconductors.

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Field-Induced Coupled Superconductivity and Spin Density Wave Order in the Heavy Fermion CompoundCeCoIn5

et al. 2009

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The high field superconducting state in CeCoIn5 has been studied by transverse field muon spin rotation measurements with an applied field parallel to the crystallographic c-axis close to the upper critical field µ0Hc2 = 4.97 T. At magnetic fields µ0H ≥ 4.8 T the muon Knight shift is enhanced and the superconducting transition changes from second order towards first order as predicted for Pauli-limited superconductors. The field and temperature dependence of the transverse muon spin relaxation rate σ reveal paramagnetic spin fluctuations in the field regime from 2 T≤ µ0H < 4.8 T. In the normal state close to Hc2 correlated spin fluctuations as described by the self consistent renormalization theory are observed. The results support the formation of a modecoupled superconducting and antiferromagnetically ordered phase in CeCoIn5 for H directed parallel to the c-axis.PACS numbers: 74.70. Tx, 76.75.+i, 74.25.Ha In a conventional type-II superconductor the magnetic upper critical field H c2 is determined by the orbital effect, i.e. the formation of vortices due to orbital screening currents which increase the kinetic energy of the Cooper pairs. If the material is layered or if the effective mass of the quasiparticles becomes large the orbital effect is reduced and superconductivity can be found up to higher applied magnetic fields. In this case the socalled Pauli limit for spin-singlet superconductivity is reached when the magnetic Zeeman energy, µ B H, overcomes the binding energy of the Cooper pairs [1]. Close to the Pauli limit, complex quantum ground states like the Fulde-Ferrel-Larkin-Ovshinnikov (FFLO) superconducting (SC) phase [2] and other modulated sc phases with mixed singlet-triplet order (pair density wave, PDW) coupled to a spin density wave (SDW) magnetic order [3,4,5], are proposed. CeCoIn 5 , a layered heavy fermion superconductor with a critical temperature T c = 2.3 K, is a model system to test these predictions.The SC state in CeCoIn 5 in zero or low magnetic fields is established to be of spin-singlet d x 2 −y 2 symmetry [6]. In high magnetic fields close to H c2 , the SCto-normal phase transition becomes first order at a temperature T 0 [7,8]. Moreover, a number of experiments provide evidence for a second order phase transition inside the SC state near H c2 for fields applied along the a-direction [7,9,10,11]. This high-field SC (HFSC) state was initially considered as the realization of the FFLO state [2]. The FFLO state is characterized by a spatial modulation of the SC order parameter along the field direction perpendicular to the vortex lines [13], resulting in a periodic array of planes of normal paramagnetic electrons. However, NMR experiments in the HFSC state of CeCoIn 5 for H a revealed a site-dependent line broadening at inequivalent In positions upon entering the low-temperature SC phase from the homogenous SC phase. This was interpreted as evidence for antiferromagnetic (AF) order [14]. Subsequent neutron diffraction experiments with fields applied along (1,-1,0) found indeed an...

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Magnetic field induced pattern of coexisting condensates in the superconducting state of CeCoIn$_5$

Cited by 3 publications

References 21 publications

Antiferromagnetic Order and π-Triplet Pairing in the Fulde–Ferrell–Larkin–Ovchinnikov State

Antiferromagnetic Order and π-Triplet Pairing in the Fulde–Ferrell–Larkin–Ovchinnikov State

Coexistence ofd-wave superconductivity and antiferromagnetism induced by paramagnetic depairing

Field-Induced Coupled Superconductivity and Spin Density Wave Order in the Heavy Fermion CompoundCeCoIn5

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