Abstract
In 1934 Wigner predicted(1) that the conduction electrons in a metal would undergo a transition from a liquid state to form a crystal when their density was sufficiently reduced. The crystal melts at a critical density for which the Coulomb energy of the configuration and its kinetic energy are comparable. At zero temperature the melting transition is quantal in nature and proceeds via zero-point fluctuations which grow as the density is increased. Another route for the melting is classical in nature and is induced by thermal fluctuations which increase when the temperature is raised.
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References
E. P. Wigner, Phys. Rev. 46, 1002 (1934).
C. C. Grimes and G. Adams, Phys. Rev. Lett. 42, 795 (1979).
A. S. Rybalko, B. N. Esselson and Y. Z. Kovdrya, Sov. J. Low Temp. Phys. 5, 450 (1979).
R. Mehrottra, B. M. Guenin, and A. J. Dahm, Phys. Rev. Lett. 48, 641 (1982).
F. Gallett, G. Deville, A. Valdes, and F. I. B. Williams, Phys. Rev. Lett. 49, 212 (1982).
G. Deville, A. Valdez, E. Y. Andrei, and F. I. B. Williams, Phys. Rev. Lett. 53, 588 (1984).
C. D. Glatti, E. Y. Andrei, and F. I. B. Williams, Phys. Rev. Lett. 60, 420 (1988).
E. Y. Andrei, G. Deville, D. C. Glattli, F. I. B. Williams, E. Paris, and B. Etienne, Phys. Rev. Lett. 60, 2765 (1988)
D. C. Glattλi, G. Deville, V. Duburcq, F. I. B. Williams, E. Paris, B. Etienne, and E. Y. Andrei, Surf. Sci. 229, 344 (1990).
R. L. Willett, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, K. W. West, and K. W. Baldwin, Phys. Rev. B 38, 7881 (1988).
H. W. Jiang, R. L. Willett, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer and K. W. West, Phys. Rev. Lett. 65, 633 (1990).
F. I. B. Williams, P. A. Wright, R. G. Clark, E. Y. Andrei, G. Deville, D. C. Glattli, O. Probst, B. Etienne, C. Dorin, S. T. Foxon, and J. J. Harris, Phys. Rev. Lett. 66, 3285 (1991).
F. I. B. Williams, E. Y. Andrei, R. G. Clark, G. Deville, B. Etienne, C. T. Foxon, D. C. Glattli, E. Paris, and P. A. Wright, in: Localization and Confinement of Electrons in Semiconductors, p. 192, Springer-Verlag, Berlin (1990).
R. L. Willett, H. W. Stormer, L. N. Pfeiffer, K. W. West, M. Shayegan, M. Santos, and T. Sajoto, Phys. Rev. B 40, 6432 (1989).
V. J. Goldman, J. E. Cunningham, M. Shayegan, and M. Santos, Phys. Rev. Lett. 65, 2189 (1990).
L. Bonsall and A. A. Maradudin, Phys. Rev. B 15, 1959 (1977).
D. Ceperly, Phys. Rev. B 18, 3126 (1978).
B. Tanatar and D. Ceperly, Phys. Rev. B 39, 5005 (1989).
K. Maki and X. Zotos, Phys. Rev. B 38, 4349 (1983).
P. K. Lam and S. M. Girvin, Phys. Rev. B 30, 483 (1984).
D. Levesque, J. J. Weiss, and A. H. MacDonald, Phys. Rev. B 30, 1056 (1984).
Yu. E. Lozovik, V. M. Fartzdinov, and B. Abdullaev, J. Phys. C 18, L807 (1985).
S. T. Chui, T. M. Hakim, and K. B. Ma, Phys. Rev. B 33, 7110 (1986).
S. Kivelson, C. Kallin, D. P. Arovas, and J. P. Schrieffer, Phys. Rev. B 36, 1620 (1987).
K. Esfarhani and S. T. Chui to be published.
K. von Klitzing, G. Dorda, and M. Pepper, Phys. Rev. Lett. 45, 494 (1980).
D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. 48, 1559 (1982).
A. V. Chaplik, Zh. Eksp. Teor. Fiz. 62, 206 (1972).
A. J. Dahm and W. F. Vinen, Physics Today, February (1987).
R. E. Prange and S. M. Girvin (eds.), The Quantum Hall Effect, Springer-Verlag, Berlin (1987).
E. E. Mendez, L. L. Chang, M. Heiblum, Phys. Rev. B 28, 4886 (1983).
B. Etienne and E. Paris, J. Phys. 48, 2049 (1987).
C. T. Foxon, J. J. Harris, D. Hilton, J. Hewett, and C. Roberts, Semicon. Sci. Tech. 4, 582 (1989).
G. Grüner and A. Zettl, Phys. Rep. 119, 117 (1985).
J. C. Gill and H. H. Wills, Contemp. Phys. 27, 37 (1986).
H. W. Jiang and A. J. Dahm, Phys. Rev. Lett. 62, 1389 (1989).
Y. Imri and S. Ma, Phys. Rev. Lett. 35, 399 (1975).
P. A. Lee and M. Rice, Phys. Rev. B 19, 1345 (1979).
H. Fukuyama and P. A. Lee, Phys. Rev. B 17, 535 (1978).
V. J. Goldman, M. Shayegan, and D. C. Tsui, Phys. Rev. Lett. 61, 881 (1988).
J. R. Mallett, R. G. Clark, R. J. Nicholas, R. Willett, J. J. Harris, and C. T. Foxon, Phys. Rev. B 38, 2200 (1988).
J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).
D. R. Nelson and B. I. Halperin, Phys. Rev. B 19, 2457 (1979).
A. P. Young, Phys. Rev. B 19, 1855 (1979).
S. T. Chui, Phys. Rev. Lett. 48, 933 (1982)
Y. Saitoh, Phys. Rev. B 26, 6239 (1982).
T. V. Ramakrishnan, Phys. Rev. Lett. 48, 541 (1982).
R. Morf, Phys. Rev. Lett. 43, 931 (1979)
M. Chang and K. Maki, Phys. Rev. B 27, 1646 (1983).
R. C. Gann, S. Chakravarty, and G. V. Chester, Phys. Rev. B 20, 326 (1979).
R. Morf, Phys. Rev. Lett. 43, 931 (1979).
R. K. Kalia, P. Vashishta, and S. W. de Leeuw, Phys. Rev. B 23, 2793 (1981).
Y. P. Li, T. Sajoto, L. W. Engel, D. C. Tsui, and M. Shayegen, Phys Rev. Lett. 67, 1630 (1991).
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Andrei, E.Y., Williams, F.J.B., Glattli, D.C., Deville, G. (1993). Experiments on Two-Dimensional Wigner Crystals. In: Butcher, P., March, N.H., Tosi, M.P. (eds) Physics of Low-Dimensional Semiconductor Structures. Physics of Solids and Liquids. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2415-5_14
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DOI: https://doi.org/10.1007/978-1-4899-2415-5_14
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