Momentum Distribution Function of the One-Dimensional Hubbard Model–An Analytical Approach

1990 ◽  
Vol 12 (4) ◽  
pp. 289-294 ◽  
Author(s):  
M Brech ◽  
J Voit ◽  
H Büttner
Keyword(s):  
Distribution Function ◽  
Hubbard Model ◽  
Momentum Distribution ◽  
Analytical Approach ◽  
One Dimensional ◽  
Momentum Distribution Function ◽  
The One

Momentum Distribution Critical Exponents for 1D Hubbard model in a Magnetic Field

2015 ◽  
Vol 11 (3) ◽  
pp. 3091-3098
Author(s):  
Nelson Nenuwe ◽  
John O. A. Idiodi
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Distribution Function ◽  
Hubbard Model ◽  
Momentum Distribution ◽  
Critical Exponents ◽  
Smooth Curve ◽  
One Dimensional ◽  
Conformal Field ◽  
Momentum Distribution Function

Critical exponents at  and   for the momentum distribution function are studied for one-dimensional Hubbard model in the presence of magnetic field, using conformal field theory (CFT) approach. Exponents at  and  are reproduced. Results at  is in contrast to earlier numerical prediction of 1, while at , the exponent is 49/8. The singularities at  and  appears to be weak and gradually degenerating into a smooth curve.

scholarly journals Zero temperature momentum distribution of an impurity in a polaron state of one-dimensional Fermi and Tonks-Girardeau gases

2020 ◽  
Vol 8 (4) ◽  
Author(s):  
Oleksandr Gamayun ◽  
Oleg Lychkovskiy ◽  
Mikhail Zvonarev
Keyword(s):  
Distribution Function ◽  
Momentum Distribution ◽  
Fredholm Determinant ◽  
Solvable Model ◽  
Fourth Power ◽  
Large Momentum ◽  
Zero Temperature ◽  
One Dimensional ◽  
Polaron State ◽  
Momentum Distribution Function

We investigate the momentum distribution function of a single distinguishable impurity particle which formed a polaron state in a gas of either free fermions or Tonks-Girardeau bosons in one spatial dimension. We obtain a Fredholm determinant representation of the distribution function for the Bethe ansatz solvable model of an impurity-gas \deltaδ-function interaction potential at zero temperature, in both repulsive and attractive regimes. We deduce from this representation the fourth power decay at a large momentum, and a weakly divergent (quasi-condensate) peak at a finite momentum. We also demonstrate that the momentum distribution function in the limiting case of infinitely strong interaction can be expressed through a correlation function of the one-dimensional impenetrable anyons.

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