@inbook{22fb05d2c93f486ca717f35ae162e6f1,
title = "Generalized entanglement entropy in new spin chains",
abstract = "Motzkin and Fredkin spin chains are new spin chain models exhibiting extraordinary amount of entanglement entropy scaling as a square root of the volume in spite of local interactions. This is a distinguished feature of the models from other spin chains with entanglement of at most logarithmic scaling. We first compute generalized entanglement entropy, called as the R{\'e}nyi entropy, of these models. The R{\'e}nyi entropy has further importance, since it can provide the whole spectrum of an entangled subsystem. We find non-analytic behavior of the R{\'e}nyi entropy that can be regarded as a phase transition never seen in any other spin chain investigated so far. This new phase transition indicates unique and rich structures of the entanglement spectrum.",
author = "Fumihiko Sugino and Vladimir Korepin",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2020.",
year = "2020",
doi = "10.1007/978-3-030-35473-2\_4",
language = "English",
series = "Springer Proceedings in Physics",
publisher = "Springer",
pages = "109--129",
booktitle = "Springer Proceedings in Physics",
}