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We discuss the universal theory of localized impurities in the paramagnetic state of 2D antiferromagnets where the spin gap is assumed to be significantly smaller than a typical exchange energy. We study the impurity spin susceptibility near the host quantum transition from a gapped paramagnet to a Néel state, and we compute the impurity-induced damping of the spin-1 mode of the gapped antiferromagnet. Under suitable conditions our results apply also to d-wave superconductors.
All distributed storage systems rely upon replication for durability and availability; but every system seems to have their own approach to replication: quorum replication, chain replication, primary/backup, Paxos/Raft and many others. This post is an attempt to understand the landscape of these algorithms through the lens of generating a unique sequence number.
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