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In this work, we highlight an overlooked mechanism that couples superconducting order parameters to orders in the charge and spin sectors such that the latter emerge as improper orders. At the core of this mechanism are nonsymmorphic symmetries and new families of modulated order parameters with two components of opposite parity. While nonsymmorphic systems have been extensively discussed in the context of topological band theory, our work demonstrates the profound effects of such symmetries on the interplay of ordered phases of matter. As a working example, we focus on the space group P4/nmm and provide a real-space perspective on the classification of order parameters. Our findings can account for the unusual phenomenology of CeRh2As2, a recently discovered heavy fermion superconductor, and open the door for the exploration of nonsymmorphic symmetries in the broader context of improper orders with potential applications to functional topological materials. Published by the American Physical Society 2024
In this work, we highlight an overlooked mechanism that couples superconducting order parameters to orders in the charge and spin sectors such that the latter emerge as improper orders. At the core of this mechanism are nonsymmorphic symmetries and new families of modulated order parameters with two components of opposite parity. While nonsymmorphic systems have been extensively discussed in the context of topological band theory, our work demonstrates the profound effects of such symmetries on the interplay of ordered phases of matter. As a working example, we focus on the space group P4/nmm and provide a real-space perspective on the classification of order parameters. Our findings can account for the unusual phenomenology of CeRh2As2, a recently discovered heavy fermion superconductor, and open the door for the exploration of nonsymmorphic symmetries in the broader context of improper orders with potential applications to functional topological materials. Published by the American Physical Society 2024
A growing number of superconducting materials display evidence for spontaneous time-reversal symmetry breaking (TRSB) below their critical transition temperatures. Precisely what this implies for the nature of the superconducting ground state of such materials, however, is often not straightforward to infer. We review the experimental status and survey different theoretical mechanisms for the generation of TRSB in superconductors. In cases where a TRSB complex combination of two superconducting order parameter components is realized, defects, dislocations and sample edges may generate superflow patterns that can be picked up by magnetic probes. However, even single-component condensates that do not break time-reversal symmetry in their pure bulk phases can also support signatures of magnetism inside the superconducting state. This includes, for example, the generation of localized orbital current patterns or spin-polarization near atomic-scale impurities, twin boundaries and other defects. Signals of TRSB may also arise from a superconductivity-enhanced Ruderman-Kittel-Kasuya-Yosida exchange coupling between magnetic impurity moments present in the normal state. We discuss the relevance of these different mechanisms for TRSB in light of recent experiments on superconducting materials of current interest.
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