Faculté des sciences

Competition between quantum-liquid and electron-solid phases in intermediate Landau levels

Goerbig, Mark O. ; Lederer, P. ; Morais Smith, Cristiane de

In: Physical Review B, 2004, vol. 69, p. 115327

On the basis of energy calculations we investigate the competition between quantum-liquid and electron-solid phases in the Landau levels n = 1, 2, and 3 as a function of their partial filling factor ̅ν̅. Whereas the quantum-liquid phases are stable only in the vicinity of quantized values of ν̅= 1/(2s + 1), an electron solid in the form of a triangular lattice of clusters with... More

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    Summary
    On the basis of energy calculations we investigate the competition between quantum-liquid and electron-solid phases in the Landau levels n = 1, 2, and 3 as a function of their partial filling factor ̅ν̅. Whereas the quantum-liquid phases are stable only in the vicinity of quantized values of ν̅= 1/(2s + 1), an electron solid in the form of a triangular lattice of clusters with a few number of electrons (bubble phase) is energetically favorable between these fillings. This alternation of electron-solid phases, which are insulating because they are pinned by the residual impurities in the sample, and quantum liquids displaying the fractional quantum Hall effect explains a recently observed reentrance of the integral quantum Hall effect in the Landau levels n = 1 and 2. Around half-filling of the last Landau level, a unidirectional charge density wave (stripe phase) has a lower energy than the bubble phase.