Abstract
Recent studies have found that all three materials within the vanadium-based Kagome superconductors (<i>A</i>V<sub>3</sub>Sb<sub>5</sub>, <i>A</i> = K, Cs, Rb) exhibit time-reversal symmetry-breaking behaviors in the superconducting states. Among the three, the Josephson junctions structured Nb/K<sub>1–<i>x</i></sub>V<sub>3</sub>Sb<sub>5</sub>/Nb and RbV<sub>3</sub>Sb<sub>5</sub> show magnetic hysteresis below the superconducting transition temperature. In CsV<sub>3</sub>Sb<sub>5</sub>, there exists a zero-field superconducting diode effect, meaning the magnitude of the positive and negative superconducting critical current are different. We first discuss the similarities and differences among the three above-mentioned experiments. Then, we discuss the possible mechanisms responsible for the unconventional superconducting transport phenomena: such as chiral superconducting order parameter (d+id or p+ip), and chiral pair density waves arising from the coupling of the charge density waves and conventional superconducting states.
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