Abstract

We compute the electronic and emission properties of Coulomb–correlated multi-particle states (X0, X±, XX) in weakly confining GaAs/AlGaAs quantum dots using an 8-band k·p model coupled to continuum elasticity and configuration interaction (CI). We evaluate polarization-resolved oscillator strengths and radiative rates both in the dipole approximation (DA) and in a quasi-electrostatic beyond-dipole (BDA) longitudinal formulation implemented via a Poisson reformulation exactly equivalent to the dyadic Green-tensor kernel. For the dots studied, BDA yields lifetimes in quantitative agreement with experiment, e.g., τ X = 0.279 ns vs 0.267 ns (exp.) and τ XX = 0.101 ns vs 0.115 ns (exp.). The framework also reproduces electric-field tuning of the multi-particle electronic structure and emission—including the indistinguishability inferred from P = τ X/(τ X + τ XX)—and we assess sensitivity to CI-basis size and to electron–electron and hole–hole exchange.

Abstract

We compute the electronic and emission properties of Coulomb–correlated multi-particle states (X0, X±, XX) in weakly confining GaAs/AlGaAs quantum dots using an 8-band k·p model coupled to continuum elasticity and configuration interaction (CI). We evaluate polarization-resolved oscillator strengths and radiative rates both in the dipole approximation (DA) and in a quasi-electrostatic beyond-dipole (BDA) longitudinal formulation implemented via a Poisson reformulation exactly equivalent to the dyadic Green-tensor kernel. For the dots studied, BDA yields lifetimes in quantitative agreement with experiment, e.g., τ X = 0.279 ns vs 0.267 ns (exp.) and τ XX = 0.101 ns vs 0.115 ns (exp.). The framework also reproduces electric-field tuning of the multi-particle electronic structure and emission—including the indistinguishability inferred from P = τ X/(τ X + τ XX)—and we assess sensitivity to CI-basis size and to electron–electron and hole–hole exchange.

Abstract

We compute the electronic and emission properties of Coulomb–correlated multi-particle states (X0, X±, XX) in weakly confining GaAs/AlGaAs quantum dots using an 8-band k·p model coupled to continuum elasticity and configuration interaction (CI). We evaluate polarization-resolved oscillator strengths and radiative rates both in the dipole approximation (DA) and in a quasi-electrostatic beyond-dipole (BDA) longitudinal formulation implemented via a Poisson reformulation exactly equivalent to the dyadic Green-tensor kernel. For the dots studied, BDA yields lifetimes in quantitative agreement with experiment, e.g., τ X = 0.279 ns vs 0.267 ns (exp.) and τ XX = 0.101 ns vs 0.115 ns (exp.). The framework also reproduces electric-field tuning of the multi-particle electronic structure and emission—including the indistinguishability inferred from P = τ X/(τ X + τ XX)—and we assess sensitivity to CI-basis size and to electron–electron and hole–hole exchange.

Abstract

We compute the electronic and emission properties of Coulomb–correlated multi-particle states (X0, X±, XX) in weakly confining GaAs/AlGaAs quantum dots using an 8-band k·p model coupled to continuum elasticity and configuration interaction (CI). We evaluate polarization-resolved oscillator strengths and radiative rates both in the dipole approximation (DA) and in a quasi-electrostatic beyond-dipole (BDA) longitudinal formulation implemented via a Poisson reformulation exactly equivalent to the dyadic Green-tensor kernel. For the dots studied, BDA yields lifetimes in quantitative agreement with experiment, e.g., τ X = 0.279 ns vs 0.267 ns (exp.) and τ XX = 0.101 ns vs 0.115 ns (exp.). The framework also reproduces electric-field tuning of the multi-particle electronic structure and emission—including the indistinguishability inferred from P = τ X/(τ X + τ XX)—and we assess sensitivity to CI-basis size and to electron–electron and hole–hole exchange.