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Finite-entanglement properties in the matrix product states of the one-dimensional Hubbard model

Title
Finite-entanglement properties in the matrix product states of the one-dimensional Hubbard model
Author
차민철
Keywords
QUANTUM; ENTROPY
Issue Date
2018-12
Publisher
AMER PHYSICAL SOC
Citation
PHYSICAL REVIEW B, v. 98, No. 23, Article no. 235161
Abstract
We study the effects of limited entanglement in the one-dimensional Hubbard model by representing the ground states in the form of matrix product states. Finite-entanglement scaling behavior over a wide range is observed at half-filling. The critical exponents characterizing the length scale in terms of the size of the matrices used are obtained, confirming the theoretical prediction that the values of the exponents are solely determined by the central charge. The entanglement spectrum shows that a global double degeneracy occurs in the ground states with a charge gap. We also find that the Mott transition, tuned by changing the chemical potential, always occurs through a first-order transition, and the metallic phase has a few conducting states, including the states with a mean-field nature close to the critical point, as expected in variational matrix product states with a finite amount of entanglement.
URI
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.98.235161http://repository.hanyang.ac.kr/handle/20.500.11754/98884
ISSN
2469-9950; 2469-9969
DOI
10.1103/PhysRevB.98.235161
Appears in Collections:
COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > PHOTONICS AND NANOELECTRONICS(나노광전자학과) > Articles
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