Electron Conductivity on Helium Films

Electrons on liquid helium films form a two-dimensional (2D) array with a wide range of electron density. This system is also very interesting for applications in restricted geometry. The conductivity σ of the electron arrays, however, strongly depends on the thickness d of the helium films adsorbed above solid substrates. This behaviour of σ is discussed in detail for a randomly rough substrate. It turns out that for the dependence of the conductivity σ(d) there exist three regions of helium thicknesses: d>d min , d∼d min , and d d min , a two-fraction scenario determines the behaviour of σ(d). In the vicinity of d min percolation phenomena develop and the conductivity exhibits different types of the so-called dip effect. For even thinner helium films, i.e., when d

Keywords:

• Helium
• Condensed matter physics
• Adsorption
• Electron mobility
• Liquid helium
• Electron
• Percolation
• Physics
• Conductivity
• Electron density
• Surface roughness

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