Finite-Size Scaling Properties of the One-Dimensional Extended Bose-Hubbard Model

2010 ◽  
Vol 56 (3(1)) ◽  
pp. 986-989 ◽  
Author(s):  
Min-Chul Cha ◽  
Jong-Geun Shin
Keyword(s):  
Hubbard Model ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Scaling Properties ◽  
One Dimensional ◽  
Size Scaling ◽  
The One

Investigation of the Finite Size Properties of the Ising Model Under Various Boundary Conditions

2020 ◽  
Vol 75 (2) ◽  
pp. 175-182
Author(s):  
Magdy E. Amin ◽  
Mohamed Moubark ◽  
Yasmin Amin
Keyword(s):  
Magnetic Field ◽  
Ising Model ◽  
Boundary Conditions ◽  
Finite Size ◽  
Scaling Functions ◽  
Finite Size Scaling ◽  
One Dimensional ◽  
Various Boundary Conditions ◽  
The One ◽  
Bulk Case

AbstractThe one-dimensional Ising model with various boundary conditions is considered. Exact expressions for the thermodynamic and magnetic properties of the model using different kinds of boundary conditions [Dirichlet (D), Neumann (N), and a combination of Neumann–Dirichlet (ND)] are presented in the absence (presence) of a magnetic field. The finite-size scaling functions for internal energy, heat capacity, entropy, magnetisation, and magnetic susceptibility are derived and analysed as function of the temperature and the field. We show that the properties of the one-dimensional Ising model is affected by the finite size of the system and the imposed boundary conditions. The thermodynamic limit in which the finite-size functions approach the bulk case is also discussed.

Fermi surface of the one-dimensional Hubbard model: Finite-size effects

1989 ◽  
Vol 162-164 ◽  
pp. 805-806
Author(s):  
C. Bourbonnais ◽  
H. Nelisse ◽  
A. Reid ◽  
A.-M.S. Tremblay
Keyword(s):  
Fermi Surface ◽  
Hubbard Model ◽  
Size Effects ◽  
Finite Size ◽  
Finite Size Effects ◽  
One Dimensional ◽  
The One
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