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Half-chain entanglement entropy in the one-dimensional spinless fermion model

Authors
Chung, Myung-Hoon
Issue Date
Dec-2016
Publisher
KOREAN PHYSICAL SOC
Keywords
Entanglement Entropy; Time-Evolving Block Decimation; Matrix Product State
Citation
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, v.69, no.12, pp.1781 - 1786
Journal Title
JOURNAL OF THE KOREAN PHYSICAL SOCIETY
Volume
69
Number
12
Start Page
1781
End Page
1786
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/7085
DOI
10.3938/jkps.69.1781
ISSN
0374-4884
Abstract
We calculate the half-chain entanglement entropy of the ground state in the one-dimensional spinless fermion model. Considering a tiny corner of the Hilbert space represented by matrix product states, we efficiently find the ground state by using infinite time-evolving block decimation. The Schmidt coefficients are used to determine the half-chain entanglement entropy. Using the bond dimension scaling of the half-chain entanglement entropy, we find the critical region, which is consistent with the previous results.
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