scholarly journals One-dimensional spinless fermion model with competing interactions beyond half filling

2001 ◽  
Vol 64 (3) ◽  
Author(s):  
A. K. Zhuravlev ◽  
M. I. Katsnelson
Keyword(s):  
Competing Interactions ◽  
Fermion Model ◽  
One Dimensional ◽  
Spinless Fermion ◽  
Half Filling

scholarly journals Spinless fermion ladders at half filling

2001 ◽  
Vol 63 (4) ◽  
Author(s):  
P. Donohue ◽  
M. Tsuchiizu ◽  
T. Giamarchi ◽  
Y. Suzumura
Keyword(s):  
Spinless Fermion ◽  
Half Filling

Scaling equations for the one-dimensional two-fermion model

1989 ◽  
Vol 39 (3) ◽  
pp. 294-297
Author(s):  
C Mantea ◽  
M Aposto ◽  
V Barsan ◽  
A Corciovei ◽  
R Fazio ◽  
...  
Keyword(s):  
Fermion Model ◽  
One Dimensional ◽  
The One

An Interpolating Ansatz for the Ground State of the Spinless Fermion Hamiltonian in D=1 and 2

1997 ◽  
Vol 11 (13) ◽  
pp. 1545-1563
Author(s):  
Miguel A. Martín-Delgado ◽  
Germán Sierra
Keyword(s):  
Critical Point ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Quantum Phase Transitions ◽  
Hartree Fock ◽  
Spinless Fermion ◽  
A Value ◽  
Bifurcation Phenomena ◽  
Half Filling

We propose an interpolating ansatz between the strong coupling and weak coupling regimes of a system of spinless interacting fermions in 1D and 2D lattices at half-filling. We address relevant issues such as the existence of Long Range Order, quantum phase transitions and the evaluation of ground state energy. In 1D our method is capable of unveiling the existence of a critical point in the coupling constant at (t/U) c =0.7483 as in fact occurs in the exact solution at a value of 0.5. In our approach this phase transition is described as an example of Bifurcation Phenomena in the variational computation of the ground state energy. In 2D the van Hove singularity plays an essential role in changing the asymptotic behaviour of the system for large values of t/U. In particular, the staggered magnetization for large t/U does not display the Hartree–Fock law [Formula: see text] but instead we find the law [Formula: see text]. Moreover, the system does not exhibit bifurcation phenomena and thus we do not find a critical point separating a CDW state from a fermion "liquid" state.

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