Phase transitions in the one-dimensional ionic Hubbard model

We study quantum phase transitions by measuring the bond energy, the number density, and the half-chain entanglement entropy in the one-dimensional ionic Hubbard model. By using the matrix product operator to perform the infinite density matrix renormalization group, we obtain the ground states in t...

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Bibliographic Details
Published in:Journal of the Korean Physical Society 2021, 78(8), , pp.700-705
Main Author: Chung, Myung-Hoon
Format: Article
Language:English
Subjects:
Bond energy
Canonical forms
Chain entanglement
Chains
Chemical potential
Density
Entanglement
Entropy
Fermions
Mathematical and Computational Physics
Model testing
Original Paper
Particle and Nuclear Physics
Phase transitions
Physics
Physics and Astronomy
Theoretical
물리학
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Summary:We study quantum phase transitions by measuring the bond energy, the number density, and the half-chain entanglement entropy in the one-dimensional ionic Hubbard model. By using the matrix product operator to perform the infinite density matrix renormalization group, we obtain the ground states in the canonical form of matrix product states. Depending on the chemical potential and the staggered potential, the number density and the half-chain entanglement entropy shows clear signatures of a Mott transition. Our results confirm the success of using the matrix product operator method to investigate itinerant fermion systems.
ISSN:0374-4884
1976-8524
DOI:10.1007/s40042-021-00099-x