A Monte Carlo study of surface diffusion coefficients in the presence of adsorbate–adsorbate interactions. III. Repulsive nearest‐neighbor and attractive next‐nearest‐neighbor interactions

1991 ◽  
Vol 95 (10) ◽  
pp. 7641-7647 ◽  
Author(s):  
C. Uebing ◽  
R. Gomer
1991 ◽  
Vol 257 (1-3) ◽  
pp. L665-L669 ◽  
Author(s):  
Vincent K.W. Cheng ◽  
C.S. Yeung

1998 ◽  
Vol 57 (12) ◽  
pp. 7275-7280 ◽  
Author(s):  
Xiaosha Wang ◽  
Qiming Li ◽  
Michael C. Tringides

2005 ◽  
Vol 16 (08) ◽  
pp. 1217-1224 ◽  
Author(s):  
MELANIE SCHULTE ◽  
CAROLINE DROPE

We investigate as a member of the Ising universality class the Next-Nearest Neighbor Ising model without external field on a simple cubic lattice by using the Monte Carlo Metropolis Algorithm. The Binder cumulant and the susceptibility ratio, which should be universal quantities at the critical point, were shown to vary for small negative next-nearest neighbor interactions.


2013 ◽  
Vol 27 (21) ◽  
pp. 1330016
Author(s):  
PAN GAO ◽  
SUHANG LIU ◽  
LIN TIAN ◽  
TIANXING MA

To realize the application of spintronics, possible magnetism in graphene-based material is an important issue to be addressed. At the tight banding level of armchair graphene nanoribbons, there are two flat bands in the band structure, two Van Hove singularities in the density of states, and the introducing of the next-nearest-neighbor hopping term cause high asymmetry in them, which plays a key role in the behavior of magnetic correlation. We further our studies within determinant quantum Monte Carlo simulation to treat the electron–electron interaction. It is found that the armchair graphene nanoribbons show carrier mediated magnetic correlation. In the armchair graphene nanoribbons, the antiferromagnetic correlation dominates around half filling, while the ferromagnetic correlation dominates as electron filling is lower than 0.8. Moreover, the ferromagnetic correlation is strengthened markedly as the next-nearest-neighbor hopping energy increases. The resultant manipulation of ferromagnetism in graphene-based material may facilitate the development of spintronics.


2003 ◽  
Vol 17 (22n24) ◽  
pp. 4267-4271 ◽  
Author(s):  
Meng-Bo Luo

The configurational and magnetic properties of magnetic polymers are investigated based on an Ising polymer chain model with nearest-neighbor spin-spin interaction on the simple cubic lattice. Dynamic Monte Carlo simulation shows that the model has spontaneous magnetization at low temperature, i.e. the mean-square magnetization <M2> approaches to 1 below the critical temperature Tc. Near Tc, a transition of chain spatial configuration from extended coil to compacted globule is found. A nonlinear magnetization - field curve is observed, in agreement with experimental findings for magnetic polymers.


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