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.98.235161https://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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