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Strong Odd Bond - Weak Even Bond Picture in the Half-Filled One-Dimensional Hubbard Model

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Abstract

We study the strong odd bond - weak even bond picture by measuring the bond energy and the half-chain entanglement entropy in the one-dimensional Hubbard model. By using the infinite density matrix renormalization group with matrix product operator, we obtain the ground state of the matrix product state. As a function of the bond dimension, the bond energy and the half-chain entanglement entropy support the strong odd bond - weak even bond picture. From the expectation values of the occupation number, we numerically observe that the odd - even effect appears only for the half-filling case with a finite bond dimension. Our results confirm that the matrix product operator method is successful in exploring itinerant fermionic systems.

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Acknowledgments

This work was partially supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (Grant No. NRF-2017 R1D1A1A0201845 to M.H.C.). The author would like to thank S. Capponi, J. Y. Chen and D. Poilblanc for helpful discussions.

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Authors and Affiliations

  1. College of Science and Technology, Hongik University, Sejong, 30016, Korea

    Myung-Hoon Chung

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  1. Myung-Hoon Chung
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Correspondence to Myung-Hoon Chung.

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Chung, MH. Strong Odd Bond - Weak Even Bond Picture in the Half-Filled One-Dimensional Hubbard Model. J. Korean Phys. Soc. 74, 674–678 (2019). https://doi.org/10.3938/jkps.74.674

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  • DOI: https://doi.org/10.3938/jkps.74.674

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