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Stability Region of the Two‐Dimensional Electron Crystal in Strong Magnetic Fields
Author(s) -
Lozovik Yu. E.,
Musin D. R.
Publication year - 1981
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221040240
Subject(s) - isotropy , phase diagram , condensed matter physics , crystal (programming language) , electron , amplitude , physics , magnetic field , square lattice , liquid crystal , phase (matter) , quantum mechanics , computer science , ising model , programming language
Abstract In the self‐consistent harmonic approximation equations are obtained for the frequency spectrum of a two‐dimensional electron crystal in a magnetic field H . From the condition of the existence of “soft” mode peculiar for the crystal at H ≠ 0 the absolute stability curve of the crystal is analyzed. The stability region increases with H . In the H ‐n phase diagram at temperature T = 0 (n is the electron density) along the stability curve obtained the phenomenological Lindemann‐type rule 〈 u 2 〉/ b 2 γ = const. is fulfilled for strong H with γ ≈ 0.06 (〈 u 2 〉 is the mean square amplitude in the harmonic approximation, b is the lattice period). At H → 0 the Lindemann‐type constant γ decreases. The phase diagram of the two‐dimensional electron system and effects of H on the electronic crystal‐isotropic liquid and liquid‐electronic crystal‐isotropic liquid transitions are discussed.