Theory of melting in two dimensions

A284 Surface Science 98 (1980) l-7 0 North-Holland Publishing Company Yamada Science Foundation

CRYSTALLIZATION

and

OF ELECTRONS ON THE SURFACE OF LIQUID

HELIUM C.C. GRIMES and G. ADAMS Bell Telephone Received

Laboratories, Murray Hill, New Yersey 07974,

4 August

USA

1979

The classical, twodimensional on the surface of liquid helium has melting temperatures range from crnw2 to 9 X lo8 cmV2. Melting potential energy to kinetic energy with dislocation mediated melting

Coulomb system formed by a monolayer of electrons trapped been observed to crystalhze into a triangular lattice. Measured 0.37 to 0.65 K for area1 densities of electrons from 3 X lOa occurs at I’ = 131 f 7 where P is a measure of the ratio of per electron. The measured value of p at melting is consistent of a two-dimensional crystal.

Surface Science 98 (1980) 8-10 0 North-Holland Publishing Company Yamada Science Foundation

and

THEORY OF MELTING IN TWO DIMENSIONS B.I. HALPERIN Lymun Laboratory Received

of Physics, Harvard University, Cambridge, Massachusetts 02138,

Surface Science 98 (1980) 11-16 0 North-Holland Publishing Company Yamada Science Foundation

and

QUANTUM EFFECTS ON MELTING TEMPERATURE WIGNER SOLID H. FUKUYAMA and D. YOSHIOKA

OF TWO-DIMENSIONAL

The Institute for Solid State Physics, The University of Tokyo, Roppongi, 106, Japan Received

USA

25 July 1980

20 July

1979; accepted

for publication

25 September

Minato-ku, Tokyo

1979

Quantum effects on the melting temperature determined by the dislocation mechanism of Kosterlitz-Thouless-Halperir-Nelson-Young are estimated for two-dimensional Wigner solid. The magnetic field dependence of the melting temperature is also evaluated including the case of the quantum limit.