Wigner Crystal Phase Investigations in 2D Electrons on Helium Films


  • M. Asharia
  • M. Mobarak
  • Massaud Mostafa


state electrons, Wigner crystal, Helium film, He-FET, Electrons mobility Surface


Wigner crystal is one of three important phases of the two-Dimensional Electrons System (2DES) on helium films. It represents the transition from the classical regime to the quantum regime and has many benefits in understanding the transport of the electrons in such a system. In this work, the Wigner crystal regime was observed and discussed in more detail and under well-defined conditions. The result shows a clear confirmation for the Wigner crystal at a density between 1010 and 1011 e/cm2 and suggests a new mechanism for the electrons transport. It also confirms that the melting of the Wigner crystal into a classical electron gas regime happened at a density of less than 1010 e/cm2.


Mino, Lorenzo and Agostini, Giovanni and Borfecchia, Elisa and Gianolio, Diego and Piovano, Andrea and Gallo, Erik and Lamberti, Carlo, Low-dimensional systems investigated by x-ray absorption spectroscopy: a selection of 2D, 1D and 0D cases, Journal of Physics D: Applied Physics 46 (2013) 423001.

Manfra, Michael J, Molecular beam epitaxy of ultrahigh-quality AlGaAs/GaAs heterostructures: enabling physics in low-dimensional electronic systems, Annu.

Rev. Condens. Matter Phys. 5 (2014) 347-373.

C. Grimes, Electrons in surface states on liquid helium, Surface Science 73 (1978) 379-395.

E. Y. Andrei, Two-Dimensional Electron Systems: On Helium and Other Cryogenic Substrates 19, Springer Science & Business Media, 2012.

Y. Monarkha, K. Kono, Two-dimensional Coulomb liquids and solids 142, Springer Science & Business Media, 2013.

P. Leiderer, Electrons at the surface of quantum systems, Journal of Low Temperature Physics 87 (3-4) (1992) 247-278.

J. Klier, I. Doicescu, P. Leiderer, First dc measurements of electrons on liquid helium: the helium-fet, Journal of low temperature physics 121 (56) (2000) 603-608.

V. Shikin, J. Klier, I. Doicescu, A. Würl, P. Leiderer, Dip problem of the electron mobility on a thin helium film, Physical Review B 64 (7) (2001) 073401.




How to Cite

Asharia, M. ., Mobarak, M. ., & Mostafa, M. . (2019). Wigner Crystal Phase Investigations in 2D Electrons on Helium Films . WAS Science Nature (WASSN) ISSN: 2766-7715, 2(1). Retrieved from https://worldascience.com/journals/index.php/wassn/article/view/5



Computer Science & Mathematics