scholarly journals Drude Weight of the Two-Dimensional Hubbard Model –Reexamination of Finite-Size Effect in Exact Diagonalization Study–

2007 ◽  
Vol 76 (3) ◽  
pp. 034705 ◽  
Author(s):  
Hiroki Nakano ◽  
Yoshinori Takahashi ◽  
Masatoshi Imada
Keyword(s):  
Size Effect ◽  
Hubbard Model ◽  
Finite Size ◽  
Exact Diagonalization ◽  
Finite Size Effect ◽  
Two Dimensional ◽  
Drude Weight

Dynamic finite-size effect in the two-dimensional classicalXYmodel

1997 ◽  
Vol 81 (8) ◽  
pp. 3986-3988 ◽  
Author(s):  
Suhk Kun Oh ◽  
Chang No Yoon ◽  
Jean S. Chung ◽  
Seong-Cho Yu
Keyword(s):  
Size Effect ◽  
Finite Size ◽  
Finite Size Effect ◽  
Two Dimensional

PRELIMINARY GROUP ANALYSIS OF A 4 X 4 TWO DIMENSIONAL HUBBARD MODEL

1989 ◽  
Vol 03 (12) ◽  
pp. 1845-1852 ◽  
Author(s):  
G. Fano ◽  
F. Ortolani ◽  
F. Semeria
Keyword(s):  
Hubbard Model ◽  
Symmetry Group ◽  
High Speed ◽  
Group Analysis ◽  
Finite Size ◽  
Exact Diagonalization ◽  
Two Dimensional ◽  
Spatial Symmetry ◽  
Preliminary Group

A finite size two-dimensional Hubbard model is considered; it is shown that the consideration of the spatial symmetry group of the Hamiltonian reduces the dimension of the problem of two orders of magnitude in the case of a 4 X 4 lattice. Exact diagonalization of the Hamiltonian can then be performed with the aid of modern high-speed computers.

scholarly journals Theoretical Investigation of the Size Effect on the Oxygen Adsorption Energy of Coinage Metal Nanoparticles

2021 ◽  
Author(s):  
Amir H. Hakimioun ◽  
Elisabeth M. Dietze ◽  
Bart D. Vandegehuchte ◽  
Daniel Curulla-Ferre ◽  
Lennart Joos ◽  
...  
Keyword(s):  
Particle Size ◽  
Size Effect ◽  
Adsorption Energy ◽  
Single Point ◽  
Finite Size ◽  
Geometry Optimization ◽  
Oxygen Adsorption ◽  
Finite Size Effect ◽  
Full Geometry Optimization ◽  
Coinage Metal

AbstractThis study evaluates the finite size effect on the oxygen adsorption energy of coinage metal (Cu, Ag and Au) cuboctahedral nanoparticles in the size range of 13 to 1415 atoms (0.7–3.5 nm in diameter). Trends in particle size effects are well described with single point calculations, in which the metal atoms are frozen in their bulk position and the oxygen atom is added in a location determined from periodic surface calculations. This is shown explicitly for Cu nanoparticles, for which full geometry optimization only leads to a constant offset between relaxed and unrelaxed adsorption energies that is independent of particle size. With increasing cluster size, the adsorption energy converges systematically to the limit of the (211) extended surface. The 55-atomic cluster is an outlier for all of the coinage metals and all three materials show similar behavior with respect to particle size. Graphic Abstract

scholarly journals Finite-size effect of critical penetration of Pearl vortices in narrow superconducting flat rings

2019 ◽  
Vol 125 (22) ◽  
pp. 223906 ◽  
Author(s):  
N. Kokubo ◽  
S. Okayasu ◽  
T. Nojima
Keyword(s):  
Size Effect ◽  
Finite Size ◽  
Finite Size Effect
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