We studied mesoscopic Hubbard rings with impurities using the renormalization group (RG) technique and the exact diagonalizations. The exact diagonalization calculations showed that the charge stiffness normalized by the value of clean system has a peak as a function of electron-electron interactions. Previous RG analysis has succeeded to show the enhancement of the stiffness at weak interactions, but does not show the peak behavior. We derived RG equations with $4k_F$ impurity scattering term, which was ignored in the previous studies, and reproduced the overall behavior of the exact diagonalization results.We studied mesoscopic Hubbard rings with impurities using the renormalization group (RG) technique and the exact diagonalizations. The exact diagonalization calculations showed that the charge stiffness normalized by the value of clean system has a peak as a function of electron-electron interactions. Previous RG analysis has succeeded to show the enhancement of the stiffness at weak interactions, but does not show the peak behavior. We derived RG equations with $4k_F$ impurity scattering term, which was ignored in the previous studies, and reproduced the overall behavior of the exact diagonalization results.

arXiv:cond-mat/9509060Sep 12, 19950 citations

Partial Exact Diagonalization

James M. Feagin

Springer eBooksJan 1, 19940 citations

Renormalization group and exact diagonalization studies of Hubbard rings with impurities

弘之森, Minoru HAMADA

We studied mesoscopic Hubbard rings with impurities using the renormalization group (RG) technique and the exact diagonalizations. The exact diagonalization calculations showed that the charge stiffness normalized by the value of a clean system has a peak as a function of electron-electron interactions. Previous RG analysis has succeeded in showing the enhancement of the stiffness at weak interactions, but does not reveal the peak behavior. We derived RG equations with a 4 ${\mathit{k}}_{\mathit{F}}$ impurity scattering term, which was ignored in the previous studies, and reproduced the overall behavior of the exact diagonalization results. \textcopyright{} 1996 The American Physical Society.We studied mesoscopic Hubbard rings with impurities using the renormalization group (RG) technique and the exact diagonalizations. The exact diagonalization calculations showed that the charge stiffness normalized by the value of a clean system has a peak as a function of electron-electron interactions. Previous RG analysis has succeeded in showing the enhancement of the stiffness at weak interactions, but does not reveal the peak behavior. We derived RG equations with a 4${\mathit{k}}_{\mathit{F}}$ impurity scattering term, which was ignored in the previous studies, and reproduced the overall behavior of the exact diagonalization results. \textcopyright{} 1996 The American Physical Society.

Physical review. B, Condensed matterFeb 15, 199613 citations

Exact Diagonalization of Small Systems

X. Zotos

NATO ASI series. Series B : PhysicsJan 1, 19900 citations

Diagonalization with matrix-product states

Chen Liu, Anders W. Sandvik

Bulletin of the American Physical SocietyMar 23, 20110 citations

Spectral densities of one-dimensional Pauli conductor obtained via exact diagonalization technique

O. O. Vorobyov, R. Ya. Stetsiv, Yurij V. Holovatch +3 more

We investigate the energy spectrum of one‐dimensional ionic conductor described with Pauli statistics taking into account ion transfer as well as the short‐range non‐local correlation between particles. Both commutator and anticommutator Green’s functions constructed of Pauli creation and annihilation operators are calculated using exact diagonalization technique on the basis of finite ionic chains with periodic boundary conditions. The frequency dependencies of one‐particle spectral densities are calculated. In the limit of vanishing correlation strength the results are compared with the ones obtained by means of fermionization procedure while for different correlation strengths the results are compared to the ones obtained via exact diagonalization technique for similar systems described with Fermi statistics.We investigate the energy spectrum of one‐dimensional ionic conductor described with Pauli statistics taking into account ion transfer as well as the short‐range non‐local correlation between particles. Both commutator and anticommutator Green’s functions constructed of Pauli creation and annihilation operators are calculated using exact diagonalization technique on the basis of finite ionic chains with periodic boundary conditions. The frequency dependencies of one‐particle spectral densities are calculated. In the limit of vanishing correlation strength the results are compared with the ones obtained by means of fermionization procedure while for different correlation strengths the results are compared to the ones obtained via exact diagonalization technique for similar systems described with Fermi statistics.

AIP conference proceedingsJan 1, 20092 citations

4k_F

impurity scattering term, which was ignored in the previous studies, and reproduced the overall behavior of the exact diagonalization results.

{\mathit{k}}_{\mathit{F}}

impurity scattering term, which was ignored in the previous studies, and reproduced the overall behavior of the exact diagonalization results. \textcopyright{} 1996 The American Physical Society.