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Superfluidity and superconductivity in double-layered quantum Hall state. (English) Zbl 1073.82629
Summary: We discuss and review the basic physics that leads to superfluidity/superconductivity in certain quantum Hall states, in particular the so-called double-layered ($mmm$) state. In the $K$-matrix description of the quantum correlation in quantum Hall states, those states with $det\left(K\right)=0$ contain a special correlation that leads to superfluidity/superconductivity. We propose a four-terminal measurement to test the DC Josephson-like effect in interlayer tunneling, so that the issue of superfluidity/superconductivity in the ($mmm$) states can be settled experimentally.
##### MSC:
 82D50 Superfluids (statistical mechanics) 81V70 Many-body theory; quantum Hall effect