2008
DOI: 10.1103/physrevb.78.235307
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Biexcitons in two-dimensional systems with spatially separated electrons and holes

Abstract: The binding energy and wavefunctions of two-dimensional indirect biexcitons are studied analytically and numerically. It is proven that stable biexcitons exist only when the distance between electron and hole layers is smaller than a certain critical threshold. Numerical results for the biexciton binding energies are obtained using the stochastic variational method and compared with the analytical asymptotics. The threshold interlayer separation and its uncertainty are estimated. The results are compared with … Show more

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Cited by 44 publications
(45 citation statements)
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“…However, as shown previously [40][41][42] , at do0.87a e quantum exchange-correlation effects cause the change of repulsion to attraction leading to appearance of bi-excitons phases 12,39 . Narrow ranges of modulated phases (stripes, bubbles or supersolids) may exist near any of the first-order phase transition lines 43 .…”
Section: Methodsmentioning
confidence: 97%
“…However, as shown previously [40][41][42] , at do0.87a e quantum exchange-correlation effects cause the change of repulsion to attraction leading to appearance of bi-excitons phases 12,39 . Narrow ranges of modulated phases (stripes, bubbles or supersolids) may exist near any of the first-order phase transition lines 43 .…”
Section: Methodsmentioning
confidence: 97%
“…This is not an artifact of the extrapolation, which followed the scheme set out in Ref. 21, for we were able to find points with nonzero binding energies outside the region of stability defined by Meyertholen and Fogler. This is consistent with the variational principle that applies to their results.…”
Section: Biexciton Binding Energiesmentioning
confidence: 99%
“…From these studies one can deduce d c ≈ 7 nm. A straightforward dimensional analysis [18] indicates that d c should scale as the effective electron Bohr radius a e = 2 κ/m e e 2 when changing the compound. Clearly, these arguments can be adopted to a wide single QW as well.…”
mentioning
confidence: 99%
“…Full evolution of the shape of the exciton interaction potential as a function of d has been calculated numerically for GaAs coupled quantum wells (CQW's) [17,18]. The structure consists of two GaAs layers separated by a thin AlGaAs barrier [ Fig.…”
mentioning
confidence: 99%