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

Abstract

In usual superconductors the carriers form Cooper pairs that have zero total momentum meaning that the superfluid density is homogeneous. We know for decades that it is a priori possible to observe at high fields the Fulde-Ferrel-Larkin-Ovchinikov (FFLO) state in which the superfluid density exhibits a field dependent modulation. The search for such inhomogeneous condensates in materials is the subject of tremendous excitement especially after the discovery of a promising high-field superconducting (HFSC) phase in CeCoIn${}_5$. However, subsequent neutron and NMR experiments contradicted the FFLO picture in CeCoIn${}_5$ establishing a puzzling coupling of the distinct HFSC state with a magnetic modulation. Here we show that, a novel type of exotic state is observed at high fields in CeCoIn${}_5$ in which a pattern of coexisting condensates manifests. The specific pattern includes the d-wave singlet SC state, the staggered $\pi$-triplet SC state and Spin Density Waves (SDW). Because of particle-hole asymmetry these three condensates may either appear separately or all three together providing a new perspective on antiferromagnetic superconductors that may include high-$T_c$ cuprates and pniktides. The field induced transition to the pattern state in CeCoIn${}_5$ is only a paradigm of a generic mechanism that prevents the elimination of the dominating condensate by the field via the formation of a pattern of condensates. This opens new avenues for the search of exotic states not only in electronic systems, but also in other systems where inhomogeneous condensates are actively discussed like trapped atomic fermi gases and dense quark matter.

References in corpus (11)

• Theory of ultracold Fermi gases
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Dislocations and vortices in pair density wave superconductors
• Microscopic evidence for field-induced magnetism in CeCoIn${}_5$
• Order parameter and vortices in the superconducting Q-phase of CeCoIn5
• Antiferromagnetic Order and π-triplet Pairing in the Fulde-Ferrell-Larkin-Ovchinnikov State
• Observation of Spin Susceptibility Enhancement in the Possible FFLO State in CeCoIn${}_5$
• Coexistence of SDW, d-wave singlet and staggered $\pi$-triplet superconductivity
• Field-induced coupled superconductivity and spin density wave order in the Heavy Fermion compound CeCoIn5
• Patterns of coexisting superconducting and particle-hole condensates
• Coexistence of CDW with staggered superconductivity in a ferromagnetic material

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