Chapter 6: Light‐Emitting Diodes
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Chapter 6: Light‐Emitting Diodes Photoluminescence and electroluminescence Basic transitions Luminescence efficiency Light-emitting diodes Internal quantum efficiency External quantum efficiency Device structures LED materials Heterojunction high-intensity LEDs LED characteristics PHYS5320 Chapter Six 1 Photoluminescence and Electroluminescence Photon absorption can create electron‒hole pairs. Excess electrons and holes can recombine and result in the emission of photons in direct bandgap materials. The general property of light emission is referred to as luminescence. When excess electrons and holes are created by photon absorption, then photon emission from the recombination process is called photoluminescence. Electroluminescence is the process of generating photon emission when excess carriers result from an electric current caused by an applied electric field. We will mainly be concerned with injection of carriers across a pn junction. The pn junction light-emitting diode (LED) and laser diode (LD) are examples of this phenomenon. In these devices, electric energy, in the form of a current, is converted directly into photon energy. PHYS5320 Chapter Six 2 Basic Transitions Basic interband transitions: (i) Emission energy is very close to the bandgap energy of the material. (ii) Emission involves energetic electrons. (iii) Emission involves energetic holes. A combination of these emission processes will produce an emission spectrum with a certain bandwidth. 2 1/ 2 h Eg I h Eg exp kT GaAs PHYS5320 Chapter Six 3 Basic Transitions Recombination processes involving impurity or defect states: (i) Conduction band to acceptor transition. (ii) Donor to valence band transition. (iii) Donor to acceptor transition. (iv) Recombination due to a deep trap. This process is usually non-radiative. PHYS5320 Chapter Six 4 Basic Transitions Non-radiative Auger process: (i) Recombination between an electron and hole, accompanied by energy transfer to a free hole. (ii) Recombination between an electron and hole, accompanied by energy transfer to a free electron. The involved third particle will eventually lose its energy to the lattice in the form of heat. The process involving two holes and one electron occurs predominantly in heavily doped p-type materials, and the process involving two electrons and one hole occurs primarily in heavily doped n-type materials. PHYS5320 Chapter Six 5 Luminescence Efficiency Since not all recombination processes are radiative, an efficient luminescent material is one in which radiative transitions predominate. The quantum efficiency is defined as the ratio of the radiative recombination rate to the total recombination rate for all processes. Because the recombination rate is inversely proportional to the lifetime, the quantum efficiency can also be expressed in terms of lifetimes. Rr nr q R nr r The interband recombination rate will be proportional to the number of electrons and holes available. Rr Bnp The values of B for direct bandgap materials are on the order of 106 larger than for indirect bandgap materials. One problem encountered with the emission of photons from a direct bandgap material is the re-absorption of emitted photons. This re-absorption problem must be solved to achieve highly efficient devices. PHYS5320 Chapter Six 6 Light‐Emitting Diodes When a voltage is applied across a pn junction, electrons and holes are injected across the space charge region where they become excess minority carriers. These excess minority carriers diffuse into the neutral semiconductor regions where they recombine with majority carriers. If this recombination process is a direct band-to-band process, photons are emitted. Such devices are then called light-emitting diodes (LEDs). The recombination rate is proportional to the diode diffusion current, so the output photon intensity will also be proportional to the ideal diode diffusion current. The maximum emission wavelength from a direct bandgap semiconductor material is related to (but not exactly equal) the bandgap energy. hc 1.24μm Eg EgeV PHYS5320 Chapter Six 7 Internal Quantum Efficiency The internal quantum efficiency of a LED is the fraction of diode current that will produce luminescence. It is a function of the injection efficiency and a function of the percentage of radiative recombination events compared with the total number of recombination events. internal q The three current components in a forward-biased diode are the minority carrier electron diffusion current, the minority carrier hole diffusion current, and the space charge recombination current. eD n eV J n p0 exp 1 n eWn eV L kT i n JR exp 1 20 2kT eDp pn0 eV Jp exp 1 Lp kT PHYS5320 Chapter Six 8 Internal Quantum Efficiency The recombination of electrons and holes within the space charge region is in general through traps near the middle gap and is a non-radiative process. In gallium arsenide, electroluminescence originates primarily on the p-side of the junction because the efficiency for electron injection is higher than that for hole injection. The injection efficiency is then defined as the ratio of electron current to total current. Jn Jn Jp JR The injection efficiency can be made to approach unity by using an n+p diode so that Jp is a small fraction of the diode current and by forward biasing the diode sufficiently so that JR is a small fraction of the total diode current. The radiative efficiency is the fraction of radiative recombination. Rr 1/r nr q Rr Rnr 1/r 1/nr nr r The non-radiative rate is proportional to the density of trapping sites within the forbidden bandgap. Clearly, the radiative efficiency increases as the density of trapping sites is reduced. PHYS5320 Chapter Six 9 External Quantum Efficiency The external quantum efficiency quantifies the conversion efficiency of electrical energy into an emitted external optical energy. It incorporates the internal quantum efficiency and the subsequent efficiency of photon extraction from the device. P optical out external IV There are three loss mechanisms the generated photons may encounter: photon absorption within the semiconductor, Fresnel loss, and critical angle loss. Since some of the emitted photons have energies above Eg, the photons generated deep inside the semiconductor will be re-absorbed by the semiconductor. PHYS5320 Chapter Six 10 External Quantum Efficiency Fresnel loss: generated photons must transmit across the dielectric interface between the semiconductor and air. The reflectance at normal incidence depends on the refractive indexes of the two dielectric materials. 2 n2 n1 R n2 n1 Example: the refractive index for GaAs is n2 = 3.66 and for air is n1 = 1.0. Calculate the reflectance coefficient at the interface at normal incidence. 2 3.66 1.0 R 0.326 3.66 1.0 PHYS5320 Chapter Six 11 External Quantum Efficiency Critical angle loss: the refractive indexes of semiconductor materials are generally larger than that of air. There will be a critical incidence angle above which generated photons will experience total internal reflection. n sin1 1 c n2 Example: the refractive index for GaAs is n2 = 3.66 and for air is n1 = 1.0. The critical angle for total internal reflection at the GaAs-air interface is n sin1 1 15.9 c n2 PHYS5320 Chapter Six 12 External Quantum Efficiency PHYS5320 Chapter Six 13 LED Structures p-layer grown p-layer is formed by dopant epitaxially on n+-layer diffusion into the epitaxial layer n+p junctions p side (~m) closer to the surface to reduce re-absorption Epitaxial growth to reduce lattice strain-induced defects PHYS5320 Chapter Six 14 LED Structures How do we reduce the A common procedure is the TIR loss? encapsulation of the device within a transparent plastic It is possible to shape the surface of the medium (an epoxy) that has a semiconductor into a dome. The main refractive index matching with drawback is the difficult fabrication the semiconductor and has a process and associated increase in cost. domed surface. PHYS5320 Chapter Six 15 LED Materials Gallium arsenide is an important direct bandgap semiconductor material for optical devices. Compound semiconductor AlxGa1-xAs is of great interest. For 0 < x < 0.35, the bandgap energy is expressed as Eg 1.424 1.247xeV PHYS5320 Chapter Six 16 LED Materials Another compound semiconductor used for optical devices is the GaAs1-xPx system. PHYS5320 Chapter Six 17 LED Materials PHYS5320 Chapter Six 18 Heterojunction High Intensity LEDs A junction between two differently doped semiconductors that are of the same material (same bandgap energy) is called a homojunction. A junction between two different bandgap semiconductors is called a heterojunction. A semiconductor device structure that has a junction between two different bandgap materials is called a heterostructured device. The p-region must be narrow to allow photons to escape without much re- absorption. However, when the p-side is too narrow, some of injected electrons in the p-side will reach the surface by diffusion and recombine non-radiatively through crystal defects near the surface. We have to make a balanced choice to achieve a maximal external efficiency. PHYS5320 Chapter Six 19 Heterojunction High‐Intensity LEDs One approach for increasing the intensity of LED output light makes use of the double heterostructure. The potential barrier, Ec, prevents electrons in the conduction band in p-GaAs passing to the conduction band of p-AlGaAs. PHYS5320 Chapter Six 20 Heterojunction High Intensity LEDs The bandgap energy of AlGaAs is greater than that of GaAs. The emitted photons do not get re-absorbed. Since light is not absorbed by p-AlGaAs either, it can be reflected to increase the light output. There are negligible strain-induced defects due to a small lattice mismatch. PHYS5320 Chapter Six 21 LED Characteristics The energy of an emitted photon from a LED is not simply equal to the bandgap energy because the electrons in the conduction band are distributed in energy and so are the holes in the valence band. The electron concentration as a function of energy is asymmetrical and has a peak at (1/2)kBT above Ec.