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445.664 445.664

Light

Light - - Emitting Diodes Emitting Diodes

Chapter 8.

Chapter 8.

Design of current flow Design of current flow

Euijoon Yoon Euijoon Yoon

Current

Current- -spreading layer (Window layer) spreading layer (Window layer)

Light is generated under an opaque metal electrode.Light is generated under an opaque metal electrode.

Current-Current-spreading (window) layerspreading (window) layerspreads the current under thespreads the current under the top electrode to regions not covered by the opaque top electrod top electrode to regions not covered by the opaque top electrode.e.

••The window layer : low resistivity, large thickness for current-The window layer : low resistivity, large thickness for current-spreading,spreading, and transparency to minimize absorption losses

and transparency to minimize absorption losses

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445.664 (Intro. LED) / Euijoon Yoon 3

Effect of current

Effect of current- -spreading layer spreading layer

(c) GaP window layer - Eg= 2.26eV

; transparent for red, orange, yellow, and part of green spectrum - Indirect bandgap

; inherently less absorbing However,

- lattice mismatched to underlying epitaxial layers

; dislocation propagation to active layer

(d) AlGaAs window layer - AlGaAs is lattice-matched to

underlying epitaxial layers

; no misfit dislocation - Eg(AlAs) = 2.9eV

- For x>0.45, AlxGa1-xAs becomes an indirect semiconductor.

However, -

-AlGaAsAlGaAscompositional fluctuationcompositional fluctuation

; larger

; larger UrbachUrbachenergy than energy than GaPGaP -

-Difficulty of OMVPE growth usingDifficulty of OMVPE growth using Al

Al--containing compoundscontaining compounds

The AlGaAs The AlGaAs/GaAs material system /GaAs material system

••

AlGaAs AlGaAs is lattice matched to GaAs for all Al mole fractions. is lattice matched to GaAs for all Al mole fractions.

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445.664 (Intro. LED) / Euijoon Yoon 5

Effect of current

Effect of current- -spreading thickness spreading thickness

••For a window thickness of 2For a window thickness of 2μμm, current spreading is limited.m, current spreading is limited.

An even larger thickness (>15An even larger thickness (>15μμm) of the window layer would spreadm) of the window layer would spread the current to the edges of the chip.

the current to the edges of the chip.

A strong current spreading is not desirable due to surface recoA strong current spreading is not desirable due to surface recombination.mbination.

Effect of current

Effect of current- -spreading on the efficiency of LED spreading on the efficiency of LED

••As the window layer thickness increased, the extraction efficiencyAs the window layer thickness increased, the extraction efficiency increased by a factor of approximately 8.

increased by a factor of approximately 8.

••The efficiency drop occurring at high currents is caused by heatingThe efficiency drop occurring at high currents is caused by heating of the device.

of the device.

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445.664 (Intro. LED) / Euijoon Yoon 7

Optimum current

Optimum current- -spreading thickness spreading thickness

••Why is there a lower limit and an upper limit for optimum thicknessWhy is there a lower limit and an upper limit for optimum thickness of the current

of the current--spreading layer ?spreading layer ?

Optimum current

Optimum current- -spreading thickness spreading thickness

• The disadvantage of no or a very thin current-spreading layer

- Most of the light is generated under the opaque metal contact pad, thereby

hindering the escape of light from the LED die.

• The disadvantage of a very thick current-spreading layer

- Current spreading to the edge of LED dies

ÆSurface recombination increases

- Increase in absorption of below-bandgap light in the window layer ÆLight absorption increases

- Increase of the ohmic resistance of the device ÆLowering the overall efficiency

- Diffusion of dopants from the confinement layers into the active region due to long growth times required for thick window layer

ÆLowering the internal quantum efficiency

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445.664 (Intro. LED) / Euijoon Yoon 9

Theory of current spreading Theory of current spreading

Theory of current spreading Theory of current spreading

Current spreading length, L Current spreading length, L

ss

e J

kT L tn

o ideal

s

= ρ

t : thickness of current

t : thickness of current--spreading layerspreading layer : the resistivity of the current

: the resistivity of the current--spreading layerspreading layer n

nidealideal: the diode ideality factor: the diode ideality factor

ρ

••

Thickness of current- Thickness of current -spreading layer, t spreading layer, t

kT n J e L t

ideal o s

ρ

2

=

(the linear stripe contact geometry)(the linear stripe contact geometry)

) )(

1 ln(

2 )

( n kT

J e r L r L

L t

ideal o c

s s

c

s

+ +

= ρ

(the circular contact geometry)(the circular contact geometry)

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445.664 (Intro. LED) / Euijoon Yoon 11

Current crowding in LEDs on insulating substrates Current crowding in LEDs on insulating substrates

Current chooses path of least resistanceCurrent chooses path of least resistance.. -

-pp--n junction current crowds near the edge of the mesa.n junction current crowds near the edge of the mesa.

••How can current crowding be reduced ?How can current crowding be reduced ?

Theory of current crowding Theory of current crowding

) / exp(

) 0 ( )

( x J x L

s

J = −

••

Current crowding in LEDs on insulating substrates Current crowding in LEDs on insulating substrates

J(0) : the current density at the p-type mesa edge Ls: current spreading length

n n p p c

s

t t

L = ( ρ + ρ ) / ρ

: the p-type specific contact resistance : the resistivity of the p-type layer

ρc

ρp

--A thick lowA thick low--resistivity nresistivity n--type buffer layertype buffer layeris needed to ensure that is needed to ensure that current crowding is minimized.

current crowding is minimized.

-

-For For low low pp--type specific contact resistance and ptype specific contact resistance and p--type layer resistivity, strong type layer resistivity, strong current crowding results, unless the n

current crowding results, unless the n--type buffer layer is very conductivetype buffer layer is very conductive so that is very large.

so that is very large.

n

tn

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445.664 (Intro. LED) / Euijoon Yoon 13

Experimental evidence of current crowding Experimental evidence of current crowding

••NonNon--uniform light emission clearly observableuniform light emission clearly observable

Lateral injection schemes Lateral injection schemes

••The current is transported laterally in both the nThe current is transported laterally in both the n--type and ptype and p--type type cladding layers

cladding layers

Ideally, the light would be generated in the region between the Ideally, the light would be generated in the region between the contacts contacts where they would not hinder the extraction of light

where they would not hinder the extraction of light

If the If the nn--type sheet resistance is much lower than the ptype sheet resistance is much lower than the p--type sheet type sheet resistance

resistance, the current prefers to flow , the current prefers to flow laterally in the lowlaterally in the low--resistance nresistance n-- layer

layerrather than the prather than the p--layerlayer

Junction current crowds near the pJunction current crowds near the p--type contact.type contact.

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445.664 (Intro. LED) / Euijoon Yoon 15

Current

Current- -blocking layers blocking layers

••Current-Current-blocking layer blocks the current from entering the active regioblocking layer blocks the current from entering the active region n below the top contact. The current is deflected away from the to

below the top contact. The current is deflected away from the top contact, p contact, thus allowing for much higher extraction efficiency.

thus allowing for much higher extraction efficiency.

••Current-Current-blocking layers require epitaxial blocking layers require epitaxial regrowthregrowth..

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