Ground state of a mobile vacancy in a quantum antiferromagnet: Small-cluster study

1990 ◽  
Vol 41 (10) ◽  
pp. 6715-6723 ◽  
Author(s):  
Veit Elser ◽  
David A. Huse ◽  
Boris I. Shraiman ◽  
Eric D. Siggia
2003 ◽  
Vol 17 (28) ◽  
pp. 5059-5063
Author(s):  
ANDREAS VOIGT ◽  
JOHANNES RICHTER

We study the ground state magnetic order of the quantum antiferromagnet on the fractal Sierpiński gasket, a system with a dimension between one and two. Using exact diagonalisation we analyse the ground state and thermodynamic properties of small finite systems and calculate data like spin-spin correlations and specific heat. We find arguments that the ground state remains disordered for an XY or Ising like anisotropy in the spin exchange away from the isotropic Heisenberg point.


1990 ◽  
Vol 42 (4) ◽  
pp. 2485-2500 ◽  
Author(s):  
Boris I. Shraiman ◽  
Eric D. Siggia

1999 ◽  
Vol 13 (15) ◽  
pp. 515-522 ◽  
Author(s):  
ŠTEFAN GÁL

The one-dimensional spinless Falicov–Kimball (FKM) model is studied in the strong coupling limit away from half-filling. The small-cluster exact-diagonalization calculations are employed to obtain valence transitions in the ground state and for finite temperatures. It is found that in the ground state, the model describes continuous valence transitions for small band-fillings and both continuous and discontinuous transitions near half-filling. At finite temperatures, only continuous valence transitions are obtained. The valence is integer at low temperatures for small band-fillings and in other cases, it takes only intermediate values.


2017 ◽  
Vol 43 (8) ◽  
pp. 901-904 ◽  
Author(s):  
Hyeong-Jin Kim ◽  
C. R. S. Haines ◽  
C. Liu ◽  
Sae Hwan Chun ◽  
Kee Hoon Kim ◽  
...  

2008 ◽  
Vol 77 (1) ◽  
Author(s):  
Alain Gellé ◽  
Andreas M. Läuchli ◽  
Brijesh Kumar ◽  
Frédéric Mila

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