Pairing in the two-dimensional Hubbard model: An exact diagonalization study

1988 ◽  
Vol 37 (13) ◽  
pp. 7359-7367 ◽  
Author(s):  
H. Q. Lin ◽  
J. E. Hirsch ◽  
D. J. Scalapino
Keyword(s):  
Hubbard Model ◽  
Exact Diagonalization ◽  
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.

Ferromagnetism in the two-dimensional Hubbard model with long-range hopping

Open Physics ◽  
2013 ◽  
Vol 11 (1) ◽  
Author(s):  
Pavol Farkašovský ◽  
Hana Čenčariková
Keyword(s):  
Hubbard Model ◽  
Long Range ◽  
Quantum Monte Carlo ◽  
Ferromagnetic State ◽  
Critical Value ◽  
Exact Diagonalization ◽  
Two Dimensional ◽  
Wide Range ◽  
Quantum Monte Carlo Method ◽  
Generalized Type

AbstractThe combination of small-cluster exact-diagonalization calculations and the quantum Monte Carlo method is used to examine ferromagnetism in the two-dimensional Hubbard model with a generalized type of hopping. It is found that the long-range hopping with exponentially decaying hopping amplitudes t ij ∼ − q Ri−Rj stabilizes the ferromagnetic state for a wide range of electron interactions U and electron concentrations n > 1. The critical value of the hopping parameter q c above which the ferromagnetic state becomes stable is calculated numerically and the ground-state phase diagram of the model is discussed for physically the most interesting cases.

The pairing symmetries in the two-dimensional Hubbard model

2021 ◽  
pp. 127153
Author(s):  
Ke Liu ◽  
Shuhui Yang ◽  
Weiqi Li ◽  
Tao Ying ◽  
Jianqun Yang ◽  
...  
Keyword(s):  
Hubbard Model ◽  
Two Dimensional ◽  
Pairing Symmetries

scholarly journals Spin diffusion and spin conductivity in the two-dimensional Hubbard model

2021 ◽  
Vol 103 (15) ◽  
Author(s):  
Martin Ulaga ◽  
Jernej Mravlje ◽  
Jure Kokalj
Keyword(s):  
Hubbard Model ◽  
Spin Diffusion ◽  
Two Dimensional
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