Imaging and modeling diffusion to isolated defects in a GaAs/GaInP heterostructureTim Gfroerer, Mac Read, and Caroline Vaughan, Davidson College, Davidson, NC

Mark Wanlass, National Renewable Energy Lab, Golden, CO

Conduction Band

Valence Band

ENER

GY Defect Level

HEATHEAT

+

-

Conduction Band

Valence Band

LIGHT

+

Nonequilibrium electrons can recombine with holes in semiconductors by hopping through localized defect states and releasing heat. This defect-related trapping and recombination process is a loss mechanism that reduces the efficiency of many semiconductor devices.

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Defect-related Recombination Radiative Recombination

D

-

x

y D-

- +

d

+

-

--+

D

d

At low excitation density, electrons are more likely to encounter a defect before a hole, allowing for defect-related trapping and recombination. At high excitation, the electrons and holes don’t live as long, reducing the diffusion length d and the probability of reaching a defect before radiative recombination occurs.

Low-excitation

Defect Electron Hole

Diffusion

High-excitation

+

++

y

x

We model the defect as an isolated pixel with an augmented rate of defect-related recombination An. Diffusion to this pixel reduces the carrier density n near the defect, and since brightness is proportional to the radiative rate Bn2, the adjacent region appears darker. This model yields poor agreement between experiment and theory.

Experimental Setup

Motivation

Photoluminescence images are obtained from an undoped GaAs/GaInP heterostructure. The excitation intensity-dependent images shown above center on an isolated defect in the thin, passivated GaAs layer.

Experimental Images

Simple Recombination Model

Better Recombination Model?

We thank Jeff Carapella for growing the test structures and Adam Topaz for writing the code that identifies good defect-related DOS functions. We also thank the Davidson Research Initiative and the Donors of the American Chemical Society – Petroleum Research Fund for supporting this work.

Acknowledgments

AbstractDefect-related electron-hole pair recombination impairs the performance of many semiconductor devices. In photoluminescence images, defective regions appear dark because carriers are more likely to recombine nonradiatively. We use photoluminescence imaging to observe isolated defects in a GaAs/GaInP heterostructure. We find that the area of the defect-darkened region depends strongly on the photoexcitation intensity. With increasing excitation, the density of electrons and holes increases, so they are more likely to encounter each other and recombine radiatively before reaching the defect. We model the behavior with a computer simulation that allows for lifetime-limited Laplacian diffusion of carriers, and we report good qualitative agreement between the experimental and simulated images. We are currently developing a more sophisticated model in hopes of achieving better quantitative agreement.

Raditative Efficiency

100 μm

If we allow the defect rate coefficient A to vary with excitation, we can reproduce our experimental results. However, variation of A with excitation is non-physical. We need a better model for defect-related recombination.

Ene

rgy

Ev

Ec

Valence Band

Conduction Band

10-2 10-1 100 101 102 10310-4

10-3

10-2

10-1

100

On Defect Off Defect Unfocused

Rad

iativ

e E

ffic

ienc

y

Power/Area (W/cm2)

-0.4 -0.2 0.0 0.2 0.4103

104

105

106

Defect DOS No Defect DOS

Energy E

vE

c

DO

S / c

m-3eV

-1s-1

)

New Density of States (DOS) Function

-0.4 -0.2 0.0 0.2 0.4

A-type Density of States (DOS) Function

Ec

DO

S / c

m-3eV

-1s-1

)

Energy

Defect DOS No Defect DOS

Ev

10-1 100 101 102 10310-4

10-3

10-2

10-1

100

On Defect Off DefectR

adia

tive

Eff

icie

ncy

Power/Area (W/cm2)

New Fit

10-2 10-1 100 101 102 103

10-3

10-2

10-1

100

Ra

dia

tive

Eff

icie

ncy

Power/Area (W/cm2)

Excitation Area:

8 x 10-3 cm2

5 x 10-4 cm2

9 x 10-5 cm2

Changing Laser Focus

Conclusions and Future Work•Even for high-quality semiconductor materials with few defects, diffusion can lead to significant defect recombination at low excitation intensity.

•At low density, carriers diffuse more readily to defective regions rather than recombining radiatively, producing larger effective “dead” areas.

•A defect-related recombination model that allows for an asymmetric distribution of defect levels within the bandgap is needed to account for our experimental results.

•To incorporate the new recombination model into our diffusion simulation, we need to understand why/how our radiative efficiency measurements depend on the laser spot size.

We use a high-sensitivity camera to obtain photoluminescence images over a broad range of laser powers. We can also measure the integrated photoluminescence intensity as a function of photoexcitation.

Radiative efficiency measurements cannot be explained if we assume that the defect-related recombination rate equals An. We need a better model.

Measurements of radiative efficiency (emitted / absorbed light) as a function of photoexcitation. The solid lines are theoretical fits assuming that the rate of defect-related recombination is simply a constant A times the photoexcited carrier density n.

Yes! A Better Recombination Model

If we assume that all defect levels are concentrated near the center of the bandgap as shown above, then the concentration of non-equilibrium electrons in the conduction band n will equal that of holes in the valence band, and thermal excitation out of the traps can be neglected. These assumptions lead to the defect-related recombination rate An that is used in the panels to the left.

The new defect-related DOS function shown above fits our radiative efficiency measurements by generating asymmetric band filling. When the electron traps are saturated, the concentration of electrons in the conduction band ne rises sharply with excitation. Since a high concentration of holes np is already present in the valence band, a rapid increase in the radiative rate Bne np occurs.

?

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