Classical and Quantum Two-Dimensional Wigner Crystal in Strong Magnetic Fields

Yoshio Kuramoto

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16 Citations (Scopus)


The ground state of a two-dimensional electron system in a strong magnetic field is investigated under the condition that only the ground Landau level is partially filled. Within the unrestricted Hartree-Fock approximation the ground state proves to be a charge-density-wave (CDW) state. When the density is low, wave functions of nearby lattice sites are well separated so that the CDW is regarded as a classical Wigner crystal. It is shown that the amplitude of the CDW is very large at arbitrary densities. Density dependence of the ground state energy is discussed using (1) a unidirectional CDW structure which allows one to take full account of the exchange effect, and (2) the square lattice for which self-consistent solution is obtained in the case of the half-filled Landau level as well as in the low density classical regime.

Original languageEnglish
Pages (from-to)390-396
Number of pages7
Journaljournal of the physical society of japan
Issue number2
Publication statusPublished - 1978 Jan 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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