Abstract
This chapter discusses different phases of magnon superfluidity, including those in a magnetic trap; and signatures of magnon superfluidity: (i) spin supercurrent, which transports the magnetization for a macroscopic distance (up to 1 cm); (ii) spin current Josephson effect, which shows the interference between two condensates; (iii) spin current vortex — a topological defect which is an analog of a quantized vortex in superfluids, of an Abrikosov vortex in superconductors, and cosmic strings in relativistic theories; and (iv) Goldstone modes related to broken U(1) symmetry — phonons in the spin-superfluid magnon gas. The chapter also considers the topic of spin supercurrent in general, including spin-Hall and intrinsic quantum spin-Hall effects.
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