Correlation energy, quantum phase transition, and bias potential effects in quantum Hall bilayers at v = 1

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 3, 2003, Pages 353281-353287

  Schliemann, John ^a  

^a UNIVERSITY OF BASEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ANISOTROPY; ARTICLE; BILAYER MEMBRANE; CORRELATION FUNCTION; MAGNETISM; PARTICLE SIZE; PHASE SEPARATION; PHASE TRANSITION; QUANTUM MECHANICS; SOLID STATE;

EID: 18744424052     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (48)

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47. The definition of the anisotropy parameter β in the ansatz (13) follows a convention used in Refs. 9,25.
48. The classical expression (16) for the anisotropy parameter is indeed the Hartree contribution (or more general, the purely elelctrostatic term) in a state where all electrons are either in one or the other layer, as it is the case for a classical capacitor without any quantum correlations between its layers. Therefore, there is no Fock contribution to the anisotropy. This is different from the Hartree-Fock ansatz discussed in Sec. II, which implements phase coherence between the layers and does, therefore, not correspond to the fully classical situation.