Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Advanced Physics

Entanglement and Correlation Functions in 1D Extended Hubbard Model

Said Harir, A. Zouhair, Mohamed Bennai, Y. Boughaleb

Published Sep 1, 2018• 2 citations
Publisher
DOI
10.1166/jap.2018.1450

Related papers

Electronic and magnetic correlations in quantum entanglement of 1D Extended Hubbard Model

T. Akroud, Said Harir, A. Zouhair +1 more

Materials Today Proceedings•Jan 1, 2022•0 citations

Spin and Charge Correlations Effect on Quantum Entanglement for Extended Hubbard Model

Said Harir, M. Kazaz, A. Zouhair +1 more

International Journal of Theoretical Physics•Jan 1, 2021•2 citations

Density matrix spectra and order parameters in the 1D extended Hubbard model

Wing Chi Yu, Shi-Jian Gu, Hai‐Qing Lin

arXiv:1408.2656•The European Physical Journal B•Sep 30, 2016•13 citations

Quantum critical phenomena and conformal invariance

Zhe Chang

We show that the Abelian bosonization of the continuum limit of the one-dimensional (1D) Hubbard model corresponds to the two-dimensional (2D) explicitly conformally invariant Gaussian model in the weak coupling limit. A universality argument is used to extend the equivalence to an entire segment of the critical line of the strongly correlated electron system. An integral equation satisfied by the mapping function between critical lines of the 1D Hubbard model and 2D Gaussian model is obtained and then solved in some limiting cases. By making use of the fact that the free Hubbard system reduces to four fermions and each of them is related to a c=1/2 conformal field theory, we present exactly the partition function of the Hubbard model on a finite 1D lattice.

Physical review. B, Condensed matter•Sep 15, 1995•0 citations

Correlation functions of the one-dimensional Hubbard model

N. M. Bogoliubov, V. E. Korepin

Theoretical and Mathematical Physics•Mar 1, 1990•16 citations

Correlation functions in the one-dimensional Hubbard model

A. M. Finkel'Shteǐn

Advanced series in mathematical physics•May 1, 1994•2 citations
We show that the Abelian bosonization of the continuum limit of the one-dimensional (1D) Hubbard model corresponds to the two-dimensional (2D) explicitly conformally invariant Gaussian model in the weak coupling limit. A universality argument is used to extend the equivalence to an entire segment of the critical line of the strongly correlated electron system. An integral equation satisfied by the mapping function between critical lines of the 1D Hubbard model and 2D Gaussian model is obtained and then solved in some limiting cases. By making use of the fact that the free Hubbard system reduces to four fermions and each of them is related to a c=1/2 conformal field theory, we present exactly the partition function of the Hubbard model on a finite 1D lattice.