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The Cooper-pair wave function in high transition temperature superconductors has a predominant d-wave symmetry, i.e., it changes sign depending on the direction in momentum space. That leads to striking anomalies when Cooper pairs tunnel in junctions formed between two superconductors of which at least one is a d-wave superconductor. Such anomalies may have a magnetic origin (like spontaneous appearance of half integer magnetic flux quanta or magnetic dipoles oscillating at GHz frequencies) or/and an electric one (like formation of -junctions). There are two important SQUID-based methods to investigate such anomalies. An indirect one, when magnetic imaging is performed with a SQUID-microscope, and a direct one, when electrical properties of a SQUID made of d-wave superconductor junctions are investigated. In this paper both these methods will be reviewed.
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