Field emission properties of fractal surfaces

被引：10

作者：

de Assis, Thiago A. ^{[1
,2
]}

Borondo, F. ^{[3
,4
]}

Benito, R. M. ^{[2
]}

Andrade, R. F. S. ^{[5
]}

机构：

[1] Univ Autonoma Madrid, Dept Quim, E-28049 Madrid, Spain

[2] Univ Politecn Madrid, ETSI Agronomos, Grp Sistemas Complejos, Dept Fis & Mecan, E-28040 Madrid, Spain

[3] Univ Autonoma Madrid, Dept Quim, E-28049 Madrid, Spain

[4] Univ Autonoma Madrid, Inst Mixto Ciencias Matemat, CSIC, UCM,UC3M, E-28049 Madrid, Spain

[5] Univ Fed Bahia, Inst Fis, BR-40210340 Salvador, BA, Brazil

来源：

PHYSICAL REVIEW B | 2008年 / 78卷 / 23期

关键词：

Brownian motion; current density; field emission; fractals; Laplace equations; surface roughness;

D O I：

10.1103/PhysRevB.78.235427

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The density of emission current by a rough surface with fractal structure is analyzed. A possible experimental setup is modeled by an irregular emitting surface, iteratively generated by a fractional Brownian motion (FBM) algorithm with roughness (or Hurst) exponent H=0.3 and a far away plane representing the anode. The boundaries are held at a fixed potential difference and the Laplace's equation, with lateral periodic conditions, was numerically solved. The solution for the potential leads to the evaluation of the local field and, subsequently, the current density evaluated by using the Fowler-Nordheim's approach. The results hint at a strong local dependence of the electric field with small variations in the roughness of the irregular boundary. The value of the turn-on electric field is found to be similar to 8x10(6) V/cm. Finally, Fowler-plot curves make possible to discuss the connection between the field amplification factor and geometric properties of the emitter surfaces.

引用

页数：7

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