Ground state properties of a quantum antiferromagnet with infinite-range interactions

1989 ◽  
Vol 22 (19) ◽  
pp. 4257-4261 ◽  
Author(s):  
C Kaiser ◽  
I Peschel
1992 ◽  
Vol 06 (13) ◽  
pp. 793-801 ◽  
Author(s):  
PAVOL FARKAŠOVSKÝ

We have studied the ground state properties of the Falicov-Kimball model with unconstrained hopping. It is shown that the model still behaves non-trivially, although it no longer depends on the actual lattice structure and dimensionality of the system. For arbitrary ion configurations with total number of ions Ni, we have been able to determine domains in the plane of the chemical potentials of electrons and ions where these ion configurations are ground states. The phase diagram of the model is discussed.


1983 ◽  
Vol 28 (5) ◽  
pp. 2886-2889 ◽  
Author(s):  
Gary S. Grest ◽  
C. M. Soukoulis

1986 ◽  
Vol 55 (2) ◽  
pp. 656-659 ◽  
Author(s):  
Hidetoshi Nishimori ◽  
Yoshihiro Taguchi ◽  
Takehiko Oguchi

2020 ◽  
Vol 57 (3) ◽  
pp. 775-791
Author(s):  
David Dereudre ◽  
Thibaut Vasseur

AbstractWe provide a new proof of the existence of Gibbs point processes with infinite range interactions, based on the compactness of entropy levels. Our main existence theorem holds under two assumptions. The first one is the standard stability assumption, which means that the energy of any finite configuration is superlinear with respect to the number of points. The second assumption is the so-called intensity regularity, which controls the long range of the interaction via the intensity of the process. This assumption is new and introduced here since it is well adapted to the entropy approach. As a corollary of our main result we improve the existence results by Ruelle (1970) for pairwise interactions by relaxing the superstabilty assumption. Note that our setting is not reduced to pairwise interaction and can contain infinite-range multi-body counterparts.


2014 ◽  
Vol 31 (3) ◽  
pp. 030301 ◽  
Author(s):  
Yan Chen ◽  
Ke-Zhi Zhang ◽  
Xiao-Liang Wang ◽  
Yong Chen

2013 ◽  
Vol 28 (16) ◽  
pp. 1350068 ◽  
Author(s):  
TUNCAY BAYRAM ◽  
A. HAKAN YILMAZ

The ground state energies, sizes and deformations of 1897 even–even nuclei with 10≤Z ≤110 have been carried out by using the Relativistic Mean Field (RMF) model. In the present calculations, the nonlinear RMF force NL3* recent refitted version of the NL3 force has been used. The BCS (Bardeen–Cooper–Schrieffer) formalism with constant gap approximation has been taken into account for pairing correlations. The predictions of RMF model for the ground state properties of some nuclei have been discussed in detail.


2013 ◽  
Author(s):  
R. Rajeswarapalanichamy ◽  
M. Santhosh ◽  
G. Sudha Priyanga ◽  
A. T. Asvini Meenaatci ◽  
S. Kanagaprabha

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