rf mems sensitivity to electromagnetic radiation · 2014-09-30 · of charging effects on rf mems,...

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Turchin A model of empire formation page 1 A theory for the formation of large agrarian empires Peter Turchin Department of Ecology and Evolutionary Biology University of Connecticut Storrs, CT 06235, USA and Santa Fe Institute Santa Fe, NM 87501, USA e-mail: [email protected] Abstract Before the Industrial Revolution the greater part of the inhabitable world was occupied by small-scale societies and large territorial states were, comparatively speaking, a rarity. Nevertheless, between 3000 BCE and 1800 CE there were at least 60 agrarian “megaempires” that controlled at the peak an area equal to or greater than one million of squared kilometers. What were the social forces that kept together such huge agrarian states? A clue is provided by the empirical observation that over 90 percent of megaempires originated at steppe frontiers—zones of interaction between nomadic pastorialists and settled agriculturalists. I propose a model for one route to megaempire. The model is motivated by the imperial dynamics in East Asia (more specifically, the interface between the settled farmers of East Asia and the nomads of Central Asia). It attempts to synthesize recent developments from theories of cultural evolution with insights from previous work by anthropologists on nomad/farmer interactions. Bio-data: Peter Turchin is Professor of Ecology and Evolutionary Biology at the University of Connecticut. His books include War and Peace and War (Pi Press) and Secular Cycles (Princeton).

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Page 1: RF MEMS sensitivity to electromagnetic radiation · 2014-09-30 · of charging effects on RF MEMS, hence to get a clearer image of their sensitivity to radiation. The interpretation

RF MEMS sensitivity to electromagnetic radiation

V G Theonas1, M Exarchos1, G Konstantinidis2 and G J Papaioannou1

1 Solid State Physics Section, Department of Physics, University Of Athens, Panepistimiopolis Zografos, 15784 Athens, Greece 2 Institute of Electronic Structure and Laser, Foundation for Research and Technology - Hellas, Vassilika Vouton, 71110 Heraklion, Crete, Greece E-mail: [email protected] Abstract. Silicon dioxide and silicon nitride as well as other insulating materials are used in micro-electro-mechanical systems. However, their tendency for electrostatic charging diminishes the device reliability. The charging effect becomes significant when these devices are subjected to ionizing radiation. The irradiation induced charging depends on the nature of irradiation, the underlying metal layers and the metal-insulator interface properties. The sensitivity of RF micro-electromechanical systems to electromagnetic ionizing radiation is presented, taking into account the simulation of charge generation and the device structure.

1. Introduction The SiO2 and Si3N4 extremely high insulation resistance and breakdown field strength (107 V/cm) [1] as well as their technological compatibility make them preferred materials for insulation in micro-system technologies. In the field of micromechanics, especially as part of electrostatically driven actuators and variable capacitor devices, such layers protect against short-circuit caused by contact of the movable parts across the electrode area. These micromechanical systems (MEMS) receive increasing interest for space technology and for a large variety of more or less hostile terrestrial applications. Depending on the material properties and environmental conditions, the surface of a dielectric can be capable of localized charge storage for a considerable time. Furthermore, SiO2 and Si3N4 provide charge trap sites both deep in volume and at interfaces of multi-layer stacks. The parasitic charge becomes uncontrollable into the dielectrics of a MEMS device, during handling, operation and mainly when they are stored or operate in a radiation rich environment.

To date, few radiation tests have been performed on MEMS devices. Tests on accelerometers MEMS, shown the technology proneness to radiation effects at moderate dose levels [2-5]. The reported effects were attributed to electrostatic force caused by charge accumulation in SiO2 and/or Si3N4 layers. Yet, no investigation has been performed in view of the in depth distribution of the generated charges and defects. The effect of ionizing radiation induced charging in insulators has attracted serious attention in applications of X-ray spectroscopy [6], scanning electron microscopy [7], ion implantation, etc. The investigations were primarily focused on the secondary electron emission and the resulting insulator charging. These specific applications restricted the investigations to low X-ray photon energies (≤30KeV), where the Auger and photoelectric effects dominate.

The aim of the present work is to combine the already available scattered information with recently performed simulations on electromagnetic ionizing radiation in order to obtain a better understanding

Institute of Physics Publishing Journal of Physics: Conference Series 10 (2005) 313–316doi:10.1088/1742-6596/10/1/077 Second Conference on Microelectronics, Microsystems and Nanotechnology

313© 2005 IOP Publishing Ltd

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of charging effects on RF MEMS, hence to get a clearer image of their sensitivity to radiation. The interpretation is based on the layer composition and structure.

2. Charging Mechanisms The effect of actuation voltage increase in RF MEMS switches due to dielectric charging by secondary electron emission from the insulating layer was demonstrated in [5]. These devices were irradiated by Co60 γ-rays under positive or negative bias. The effect of γ-rays induced charging in MEMS optical mirrors with PZT dielectric layer was demonstrated in [8]. An investigation on the correlation between the x-ray induced electron emission yields of insulators is presented in [9], indicating that there has been relatively little experimental work in this field. The most important contributions to the emission of electrons using x-ray excitation in the 0.1-10 KeV range are that of [10, 11]. In view of the limited literature on ionizing radiation charge generation in several insulating materials and for a wide energy range, we are led to the conclusion that the better understanding of radiation effects in RF MEMS requires further investigation of the charge generation mechanisms.

The investigation of ionizing electromagnetic radiation effects includes photon energies ranging from a few KeVs that correspond to soft X-ray source emission up to a few MeVs that approximates the Co60 γ-ray source. This wide photon energy range allows us to almost distinguish the contribution of three basic energy loss mechanisms. The Auger and photoelectric effects are dominant for the absorption of X-rays while the Compton effect occurs at high photon energies and may lead to defects creation through the high energy Compton electron [12].

Figure 1. Sketch of the atomic mechanisms induced by the photoabsorption effect. Photoelectrons (pe) and Auger electrons (Ae) are issued from an excited atom (ea). The cascade of those electrons inelastic interactions with atoms generates e-h pairs within insulator’s volume. Close to the surface excited atoms (z<s) lead to secondary electron emission and the material is positively charged [6].

The absorption of soft X-rays gives rise to ejection of a photoelectron from an excited atom. A de-

excitation process that is characterized by a photon emission (fluorescence effect) or an Auger electron emission follows this ejection (figure 1). The initial photoelectron and nearly one or more Auger electron are emitted quite simultaneously from an excited atom. These electrons propagate in the material where they interact with other atoms. The inelastic interactions with valence electrons give rise to electron hole pair creation. Furthermore, when these electrons are generated close to the surface, at a distance less than the escape length s, they may escape into vacuum or in the substrate on which the insulating layer has been deposited, leaving a positively charged insulator layer. The escape length has fixed values for the Auger electrons, depending on the de-excitation processes. For the photoelectrons, the escape length depends on the energy of the absorbed photon. In RF MEMS the dielectric layer is deposited on a conducting one. Since the described process does not depend on the irradiated material conductivity, upon irradiation there will be a simultaneous process of secondary electron emission from the insulator towards vacuum and the metal substrate. Simultaneously, secondary electrons will be emitted from the metal substrate towards the insulator layer. Thus, the sign and the distribution of the insulator charge will be determined by the rates of the secondary electrons emitted from the substrate and the ones emitted into vacuum and substrate. Therefore, the net charge of a bare insulating layer, (noted as Device D3 at Table 1), irradiated with X-rays or gamma rays, is expected to be always positive. The secondary electron emission yield induced by energetic projectiles is often about an order of magnitude larger (or more) for insulators than for other materials: a fact that

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has, for instance, favored the use of oxide surfaces for electron multipliers. Large electron yields are attributed to large escape depths of secondary electrons during their transport towards the surface and to lower surface barriers that increase their escape probability with respect to the case of a metal [9, 13]. For this reason we further simulated the effect of ionizing electromagnetic radiation on a simple structure consisting of an insulating layer deposited on a metal film (I.M. structure noted as D2) and finally a M.I.M. device noted as D1, which resembles a varactor and an RF switch. The structure of the devices used in the simulation procedure is presented in Table 1. Three different insulating materials have been used for the ionizing radiation simulation. The materials choice was based on their use in RF MEMS and electrical characteristics. The simulation was performed with the MCNP code, which allowed the division of the insulating layer in cells, five in the present case of 20nm thickness each. The code was used for the calculation of charge distribution caused by photon irradiation, with photon energies ranging from 20KeV up to 1MeV.

Table 1. Simulated layer structure.

Thickness (nm) Composition D1

(M.I.M. Structure) D2

(I.M. Structure) D3

(Floating Insulator) Au 100 0 0

SiO2 or Si3N4 or HfO2 100 100 100 Au 200 200 0 Cr 20 20 0

Glass >105 >105 0 The simulation results clearly show the effect of charging by secondary electron emission from the

insulator surface and the vicinal Au films. At low photon energies the Auger yield is much higher than the photoelectron one. Thus the escape length is determined by the Auger electron emission. The larger atomic number and implied absorption coefficient of Au layers lead to electron injection towards the insulator layer. The electron injection from the Au film is strongly manifested in the simulation to the device D3 and device D2 structures. As expected, upon radiation the insulating material (D3) is positively charged, independently of its composition. The D2 simulation results indicated that electrons generated by primary photon interactions within Au layer, penetrate to the insulator layer. Due to this fact, SiO2 and Si3N4 layers acquire negative charging through their volume. The induced charge distribution indicates a strong accumulation of negative charge close to the insulator - Au interface, which fades out towards the insulator depth to the surface. The later implies that (Au injected) electrons penetration depth to Si3N4 and SiO2 is approaching the layer’s thickness of 100nm. Simulation results for HfO2, which exhibits breakdown field strength of 3-9x106V/cm [14], are different. The layer remains positively charged through the whole volume. The positive charge is strongly reduced close to the insulator - Au interface, indicating that the electron penetration depth in HfO2 is lower than in the other simulated insulators. Finally, in the case of a MIM capacitor (D1) electrons are injected through both interfaces and the charge distribution resembles an inverse U shape (figure 2). The charge injection and redistribution is responsible for the total layer negative charging of Si3N4 and SiO2 and the net positive charging of HfO2.

The effect of incident photon energy increasing to 100KeV and finally to 1MeV on the charge magnitude and distribution, is illustrated in figure 3 for the case of HfO2. The energy increase favors the emission of higher energy photoelectrons thus leading to an escape length raise. In addition high-energy photons generate Compton electrons of several hundred KeV [6,9]. The high-energy Compton electrons and photoelectrons are emitted throughout insulator volume [6]. Moreover, electrons emerge from Au layer into insulator layer, loose energy through ionizing interactions and finally are emitted as secondary electrons from the insulator. This ionizing process increases further the insulator positive

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charge. The decrease of absorption coefficient during photon energy increases, leads to a decrease of the deposited charge. So the insulator charge distribution is smoothed when photon energy rises.

Figure 2. Radiation induced charging for 20KeV photons device D1 irradiation

Figure 3. Increased photon energy effect to radiation induced charging in HfO2

The Si3N4 and SiO2 behavior to electromagnetic radiation is similar. This is attributed to the equal

mean atomic number of these compounds (Zmean=10). The observed difference on the deposited charge magnitude has to be attributed to the fact that Si3N4 density is almost 50% greater than that of SiO2. On the contrary, HfO2 insulating layer exhibited a completely different behavior. Among those three simulated dielectrics, it was the only one that maintained positive charging for all incident photon energies. Additionally it exhibits a significantly greater value of positive charging compared with the other, during device D3 irradiation. These particular features may be attributed to the large atomic number of Hf (72), its small difference with respect to that of Au (79), the compound’s large mean atomic number (Zmean≈30) and density, almost 280% greater than Si3N4. Finally, its net charge deposition is minimal compared to the other simulated dielectrics, indicating that it may be considered as a possible candidate for use in RF MEMS fabrication.

3. Conclusions The sensitivity of RF MEMS insulators to electromagnetic ionizing radiation has been presented. The insulator charging is conducted through secondary electron emission. The insulating layer composing materials atomic number as well as the vicinal metal contacts determines the final charge distribution. Incident photon energy combined with the device structure plays a significant role on the sign of the insulator net charge. Finally, the sensitivity of high-k materials to ionizing radiation as well as the effect of the distribution of secondary photon generation needs further investigation.

4. References [1] Sze S M 1981 Physics of Semiconductor Devices (New York: Wiley-Interscience) p 852 [2] Knudsen A R et al. 1996 IEEE Transactions on Nuclear Science 43 3122-26 [3] Lee C I et al. 1996 IEEE Transactions on Nuclear Science 43 3127-32 [4] Edmonds L D, Swift G M and Lee C I 1998 IEEE Transactions on Nuclear Science 45 2779-87 [5] McClure S et al. 2002 IEEE Transactions on Nuclear Science 49 3197-3203 [6] Cazaux J 1997 J. of Microscopy 188 106-24 [7] Toth M et al. 2002 J. Appl. Phys. 91 4479-91 [8] Miyahira T F et al. 2003, IEEE Trans. Nuclear Science 50 1860-66 [9] Cazaux J et al. 2001 J. Appl. Phys. 89 8265 [10] Henke B L et al. 1979 Phys. Rev. B 19 3004 [11] Gullikson E M and Henke B L 1989 Phys. Rev. B 39 1 [12] Papaioannou G J et al. European Microwave Week 2004 Proc., (Amsterdam 2004) 10 [13] Baragiola R A et al. 1998 Phys. Rev. B 58 13212 [14] Conley J F et al. 2003 Appl. Phys. Letters 82 3508

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