Two-dimensional Ising model and local nonuniversality of critical exponents

Bariev, R. Z.

doi:10.1590/s0103-97332000000400008

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2008

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“…Many-point correlation functions along a modified bond have been calculated as well 22 . The critical exponents for the magnetization of a line defect are known analytically 23,24,25 .…”

Section: Introductionmentioning

confidence: 99%

Reduction of surface coverage of finite systems due to geometrical steps

2008

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The coverage of vicinal, stepped surfaces with molecules is simulated with the help of a twodimensional Ising model including local distortions and an Ehrlich-Schwoebel barrier term at the steps. An effective two-spin model is capable to describe the main properties of this distorted Ising model. It is employed to analyze the behavior of the system close to the critical points. Within a well-defined regime of bonding strengths and Ehrlich-Schwoebel barriers we find a reduction of coverage (magnetization) at low temperatures due to the presence of the surface step. This results in a second, low-temperature transition besides the standard Ising order-disorder transition. The additional transition is characterized by a divergence of the susceptibility as a finite-size effect. Due to the surface step the mean-field specific heat diverges with a power law.

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“…Many-point correlation functions along a modified bond have been calculated as well 22 . The critical exponents for the magnetization of a line defect are known analytically 23,24,25 .…”

Section: Introductionmentioning

confidence: 99%