scholarly journals Spectral functions of the one-dimensional Hubbard model in the U→+∞ limit:How to use the factorized wave function

1997 ◽  
Vol 55 (23) ◽  
pp. 15475-15488 ◽  
Author(s):  
Karlo Penc ◽  
Karen Hallberg ◽  
Frédéric Mila ◽  
Hiroyuki Shiba
Keyword(s):  
Wave Function ◽  
Hubbard Model ◽  
Spectral Functions ◽  
One Dimensional ◽  
The One

STRONG COUPLING APPROACH TO ONE-DIMENSIONAL HUBBARD MODEL AND RELATED LATTICE MODELS

1999 ◽  
Vol 13 (05n06) ◽  
pp. 731-740 ◽  
Author(s):  
H. SHIBA ◽  
K. PENC ◽  
F. MILA
Keyword(s):  
Hubbard Model ◽  
Strong Coupling ◽  
Lattice Models ◽  
Wave Functions ◽  
Spectral Functions ◽  
Spin Part ◽  
One Dimensional ◽  
Coupling Approach ◽  
The One ◽  
Charge Part

The strong coupling limit of one-dimensional correlated systems is nontrivial, but simple in some sense. Here we demonstrate it, discussing the wave functions for the 1D U→ +∞ Hubbard model, which are factorized as a direct product of the charge part and the spin part and determining the one-particle spectral functions explicitly.

CORRELATION FUNCTIONS IN ONE-DIMENSIONAL LARGE-U HUBBARD MODEL: ZERO-FIELD AND FINITE-FIELD CASES

1991 ◽  
Vol 05 (01n02) ◽  
pp. 31-44 ◽  
Author(s):  
Hiroyuki SHIBA ◽  
Masao OGATA
Keyword(s):  
Wave Function ◽  
Finite Field ◽  
Hubbard Model ◽  
Slater Determinant ◽  
Direct Calculation ◽  
Spin Correlation ◽  
Zero Field ◽  
Property A ◽  
One Dimensional ◽  
The One

A recent study of the large-U limit of the one-dimensional (1D) Hubbard model is presented and discussed. It is pointed out first that the wave function has a simple structure in this limit. Namely, it is a product of Slater determinant of noninteracting spinless fermions and the wave function of 1D S=1/2 Heisenberg antiferromagnet. Secondly, by using this property, a direct calculation of momentum distribution and spin correlation function is carried out for the ground state at zero-field and finite-field cases. The results show various singularities exactly at the same position where one expects for the small-U case in both zero-field and finite-field cases. The critical exponents estimated from the size dependence are in reasonable agreement with those predicted by the Tomonaga-Luttinger-liquid and the conformal field theory.

scholarly journals Antiferromagnetic fluctuations in the one-dimensional Hubbard model

AIP Advances ◽  
2020 ◽  
Vol 10 (12) ◽  
pp. 125127
Author(s):  
Václav Janiš ◽  
Antonín Klíč ◽  
Jiawei Yan
Keyword(s):  
Hubbard Model ◽  
One Dimensional ◽  
The One
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