Density dependence of the ν= 5 2 energy gap: Experiment and theory

Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 3, 2010, Pages

  Nuebler, J ^a   Umansky, V ^b   Morf, R ^c   Heiblum, M ^b   Von Klitzing, K ^a   Smet, J ^a  

^a MAX PLANCK INSTITUT FÜR FESTKÖRPERFORSCHUNG   (Germany)

^b WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^c PAUL SCHERRER INSTITUTE   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954829164     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.035316     Document Type: Article

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48. For ν = 5 2 one has d = √ 2 π / ν l B with ν = 1 / 2 as only the electrons in the half-filled second LL take part in the correlated state.
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50. The gap is reduced by an increasing amount as density increases. This is, however, only partly due to increasing width w: as l B ∼ 1 / √ n, even a constant w would yield an increasing w / l B and reduce the normalized gaps.
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52. Without a BG the achievable density n drops inversely proportional to spacer thickness d. Nevertheless, as l B ∼ 1 / √ n, the QP size increases only as √ d, thus slower than the disorder length scale.