Quantum phase transitions in a frustration-free spin chain based on modified Motzkin walks

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Title
Quantum phase transitions in a frustration-free spin chain based on modified Motzkin walks
Author(s)
Fumihiko Sugino; Pramod Padmanabhan
Publication Date
2018-09
Journal
European Physical Journal-Special Topics, v.227, no.3-4, pp.269 - 284
Publisher
SPRINGER HEIDELBERG
Abstract
Area law violations for entanglement entropy in the form of a square root has recently been studied for one-dimensional frustration-free quantum systems based on the Motzkin walks and their variations. Here, we further modify the Motzkin walks using the elements of a symmetric inverse semigroup as basis states on each step of the walk. This change alters the number of paths allowed in the Motzkin walks and by introducing an appropriate term in the Hamiltonian with a tunable parameter we show that we can jump from a state that violates the area law logarithmically to a state that obeys the area law providing an example of quantum phase transition in a one-dimensional system. © 2018, EDP Sciences and Springer-Verlag GmbH Germany, part of Springer Nature
URI
https://pr.ibs.re.kr/handle/8788114/5198
ISSN
1951-6355
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > Journal Papers (저널논문)
Files in This Item:
10.1140_epjst_e2018-00080-2.pdfDownload

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