The search for Bose–Einstein condensation of excitons in Cu2O: exciton-Auger recombination versus biexciton formation

Excitons in high-purity crystals of Cu _2 O undergo a density-dependent lifetime that opposes Bose–Einstein condensation (BEC). This rapid decay rate of excitons at a density n has generally been attributed to Auger recombination having the form ${\rm d}n/{\rm d}t=-A{{n}^{2}}$ , where A is an excito...

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Main Authors: James P Wolfe, Joon I Jang
Format: Article
Language:English
Published: IOP Publishing 2014-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/16/12/123048
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author James P Wolfe
Joon I Jang
author_facet James P Wolfe
Joon I Jang
author_sort James P Wolfe
collection DOAJ
description Excitons in high-purity crystals of Cu _2 O undergo a density-dependent lifetime that opposes Bose–Einstein condensation (BEC). This rapid decay rate of excitons at a density n has generally been attributed to Auger recombination having the form ${\rm d}n/{\rm d}t=-A{{n}^{2}}$ , where A is an exciton-Auger constant. Various measurements of A , however, have reported values that are orders-of-magnitude larger than the existing theory. In response to this conundrum, recent work has suggested that excitons bind into excitonic molecules, or biexcitons, which are short-lived and expected to be optically inactive. Of particular interest is the case of excitons confined to a parabolic strain well—a method that has recently achieved exciton densities approaching BEC. In this paper we report time- and space-resolved luminescence data that supports the existence of short-lived biexcitons in a strain well, implying an exciton loss rate of the form ${\rm d}n/{\rm d}t=-2C{{n}^{2}}$ with a biexciton capture coefficient C ( T ) proportional to $1/T$ , as predicted by basic thermodynamics. This alternate theory will be considered in relation to recent experiments on the subject.
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spelling doaj.art-5ab3c3415db944e6a82e221665a455cd2023-08-08T11:26:08ZengIOP PublishingNew Journal of Physics1367-26302014-01-01161212304810.1088/1367-2630/16/12/123048The search for Bose–Einstein condensation of excitons in Cu2O: exciton-Auger recombination versus biexciton formationJames P Wolfe0Joon I Jang1Physics Department and Materials Research Laboratory, University of Illinois at Urbana-Champaign , 1110 West Green Street, Urbana, Illinois 61801, USADepartment of Physics, Applied Physics and Astronomy, State University of New York (SUNY) at Binghamton , P.O. Box 6000, Binghamton, New York 13902, USAExcitons in high-purity crystals of Cu _2 O undergo a density-dependent lifetime that opposes Bose–Einstein condensation (BEC). This rapid decay rate of excitons at a density n has generally been attributed to Auger recombination having the form ${\rm d}n/{\rm d}t=-A{{n}^{2}}$ , where A is an exciton-Auger constant. Various measurements of A , however, have reported values that are orders-of-magnitude larger than the existing theory. In response to this conundrum, recent work has suggested that excitons bind into excitonic molecules, or biexcitons, which are short-lived and expected to be optically inactive. Of particular interest is the case of excitons confined to a parabolic strain well—a method that has recently achieved exciton densities approaching BEC. In this paper we report time- and space-resolved luminescence data that supports the existence of short-lived biexcitons in a strain well, implying an exciton loss rate of the form ${\rm d}n/{\rm d}t=-2C{{n}^{2}}$ with a biexciton capture coefficient C ( T ) proportional to $1/T$ , as predicted by basic thermodynamics. This alternate theory will be considered in relation to recent experiments on the subject.https://doi.org/10.1088/1367-2630/16/12/123048excitonbiexcitonBose–Einstein condensationtwo-body recombinationcuprous oxide
spellingShingle James P Wolfe
Joon I Jang
The search for Bose–Einstein condensation of excitons in Cu2O: exciton-Auger recombination versus biexciton formation
New Journal of Physics
exciton
biexciton
Bose–Einstein condensation
two-body recombination
cuprous oxide
title The search for Bose–Einstein condensation of excitons in Cu2O: exciton-Auger recombination versus biexciton formation
title_full The search for Bose–Einstein condensation of excitons in Cu2O: exciton-Auger recombination versus biexciton formation
title_fullStr The search for Bose–Einstein condensation of excitons in Cu2O: exciton-Auger recombination versus biexciton formation
title_full_unstemmed The search for Bose–Einstein condensation of excitons in Cu2O: exciton-Auger recombination versus biexciton formation
title_short The search for Bose–Einstein condensation of excitons in Cu2O: exciton-Auger recombination versus biexciton formation
title_sort search for bose einstein condensation of excitons in cu2o exciton auger recombination versus biexciton formation
topic exciton
biexciton
Bose–Einstein condensation
two-body recombination
cuprous oxide
url https://doi.org/10.1088/1367-2630/16/12/123048
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