Terahertz shielding properties of aero-GaN

The electrodynamic properties of the first aero-material based on compound semiconductor, namely of Aero-GaN, in the terahertz frequency region are experimentally investigated. Spectra of complex dielectric permittivity, refractive index, surface impedance are measured at frequencies 4–100 cm−1 and in the temperature interval 4–300 K. The shielding properties are found based on experimental data. The aero-material shows excellent shielding effectiveness in the frequency range from 0.1 to 1.3 THz, exceeding 40 dB in a huge frequency bandwidth, which is of high interest for industrial applications. These results place the aero-GaN among the best THz shielding materials known today.


Introduction
Terahertz (THz) radiation, ranging from 100 GHz up to 30 THz, is perceived as an electromagnetic spectrum region with rather weak radiation sources. This statement illustrates the narrow perception of this spectral region, originating from the lack of miniaturized semiconductor sources able to generate tunable and medium-or high-level electromagnetic power, as in microwaves and millimeter wave regions. However, there are strong THz radiation sources such as farinfrared lasers, gyrotrons, backward-wave oscillators (BWOs) [1,2], free-electron lasers or synchrotrons. Even the miniaturized semiconductor THz sources show nowadays rather large THz emitted powers. For example, an array of 89 resonant-tunneling diodes integrated with dipole antennas generates 0.73 mW at 1 THz [3]; the BWOs provide coherent and continuously tunable radiation in the range between Semiconductor Science and Technology Semicond. Sci. Technol. 34 (2019) 12LT02 (6pp) https://doi.org/10.1088/1361-6641/ab4e58 8 Author to whom any correspondence should be addressed Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. 0.03 THz and up to 1.4 THz, with output power of several hundreds of milliWatts at low frequencies and about 1 mW at high frequencies. There are already amplifiers, such as InPbased high electron mobility transistor, able to amplify at 1 THz at room temperature [4,5]. THz wireless communications are a hot topic [6] and already serious concerns about public health are raised [7].
Therefore, various materials are searched today to protect both equipment and human beings against unwanted THz radiation, since biological effects of such radiations may be dangerous [8]. Electromagnetic interference (EMI) shielding materials for THz spectrum are now dominated by carbonbased nanomaterials, such as carbon nanotubes [9,10], and graphene [11], which are very often mixed with polymers, thus forming nanocomposites. A recent review regarding EMI shielding of carbon-based nanomaterials is found in [12].
In this paper, we investigate the THz EMI shielding properties of the aerogalnite (aero-GaN) which is a new ultraporous semiconductor nanomaterial formed by an interconnected network of hollow GaN microtetrapods (with the wall thickness in the nanometer scale). The fabrication method and its physical properties are described in detail in [13].

Experimental
GaN microtetrapods were fabricated as follows. Ultrathin layers of GaN have been grown on sacrificial ZnO microtetrapods, with arms diameter of 2-10 μm and lengths from 20 to 100 μm. The growth process occurs in a hydride vapor phase epitaxy system, which is equipped with a four-temperature-zone-heated horizontal reactor. In the source zone, at 850°C, gallium chloride is formed as a result of chemical reactions between gaseous hydrogen chloride and liquid gallium. The formed GaCl interacts with gaseous NH 3 in the reaction zone and initiates the GaN growth process at 600°C for 10 min, followed by another 10 min growth at 850°C, when the GaN layer is grown uniformly on the surface of ZnO microtetrapods. The flow rates for HCl, NH 3 and H 2 equals to 15 sml min −1 , 600 sml min −1 and 3600 sml min −1 , respectively. Note that at the growth temperature, GaN deposition is accompanied by simultaneous gradual decomposition and removal of the underneath ZnO template, which occurs due to harsh reaction corrosive conditions. The density of ZnO microtetrapods in the initial interconnected network was 0.3 g cm −3 , which decreased about 20 times after GaN growth and ZnO removal. For the terahertz characterization of the material, a bulk sample was prepared in the form of a layer of 1.3 mm in thickness and of about 1 cm in diameter. The layer was fixed inside a brass ring between two stretched polyethylene films with a thickness of 8 μm (see figure 1). We have additionally investigated a slightly denser (by about 12%) sample that was prepared by gentle pressing the as-grown material between two plane surfaces. THz spectra of complex dielectric permittivity ε * (ν)=ε′(ν)+iɛ�(ν) were measured with the help of commercial time-domain spectrometer TeraView TPS 3000. The measurements were realized in the range ν=4-100 cm −1 and temperature interval T from 4 K to 300 K. The spectra of real and imaginary permittivity are determined directly in the transmission geometry via measurements of the complex transmission coefficient (amplitude and phase) of the plane-parallel samples (Note that at the mentioned frequencies the polyethylene films practically do not affect the spectra). Low-temperature measurements were realized using a home-made helium-flow cryostat equipped with polypropylene windows.

Figures 2(a) and (b)
show the spectra of real and imaginary parts of dielectric permittivity of as-grown sample measured at room temperature and at T=4 K. Only a weak temperature dependence of the THz response is detected. The spectra demonstrate a pronounced relaxational behavior, typical for disordered materials, and were processed using the empirical Havriliak-Nagami expression: where Δε is the relaxation strength, τ=(2πν R ) −1 is the relaxation time, ν R is the relaxation frequency, α and β characterize asymmetry and broadness of the relaxation peak, respectively, and ε ∞ is the high-frequency dielectric constant. The results of the fit obtained for T=300 K are shown by solid lines in figures 2(a) and (b). The corresponding values of the Havriliak-Nagami parameters are collected in table 1. When the sample is cooled from 300 to 4 K, an increase of the relaxation time (corresponding to a decrease of the relaxation frequency) can be observed, thus indicating a slowing down of the relaxation process. The parameters α and β remain practically unchanged. It should be noted that in the studied frequency interval, i.e. from 4 to 100 cm −1 , there must be two mechanisms contributing to the observed relaxation-like THz dispersion. At the highest frequencies, the probing radiation wavelength becomes comparable to the characteristic length scale of the studied sample constituents (hollow tetrapods): the frequency of 100 cm −1 corresponds to the wavelength λ=100 μm. One thus expects an increasing role of scattering effects when the frequency is enhanced towards the highfrequency end of the used frequency interval. At the lowfrequency end, the radiation wavelength far exceeds the size of the sample inhomogeneities: for example, the lowest frequency of 4 cm −1 corresponds to the wavelength λ=2.5 mm. As a result, during frequency increase from 4 to   (1), obtained by fitting terahertz spectra of real and imaginary permittivity of a network of aero-GaN hollow microtetrapods measured at two temperatures, T=300 K and T=4 K: relaxation strength Δε, relaxation time τ=(2πν R ) −1 , relaxation frequency ν R , coefficients α and β that characterize asymmetry and broadness of the relaxation peak, respectively, and high-frequency dielectric constant ε ∞ . 100 cm −1 there would be a 'crossover' of the observed relaxational behavior of the dielectric spectra that are determined mainly by the effective medium-type response at low frequencies and mainly by scattering of the radiation by sample inhomogeneities at high frequencies. It is the joint contribution of these two mechanisms that makes it necessary to use equation (1) in its most general form when the value of α is different from zero and the value of β is different from one; note that the simplest case with α=0 and β=1 corresponds to the Debye-like relaxation.
The origin of the pronounced dispersion observed in the spectra below 20-30 cm −1 (where scattering is not dominating) should be connected with the polarizability of the 3D architecture of mutually interpenetrated GaN aerotetrapods of the studied material. III-V nitrides, including GaN, are known for their unusually strong polarizability, both spontaneous and piezoelectric [14][15][16]. We thus expect that the arms of the hollow aerotetrapods can acquire electrical polarization on their walls during deformations and/or stresses. Additional polarization can be generated at intersections or at ZnO-GaN interfaces, though the content of residual zinc oxide is not high (3%-4%). Since the detected relaxation frequency, of just few GHz (see table 1), is rather low, we believe that the main contribution to the process comes from dynamics of relatively big complexes involving certain number of tetrapods.
In figure 2 we present also the spectra of some additional electromagnetic characteristics of the studied material, that are useful for assessing possibilities of their use in various applications: real n and imaginary k parts of the refractive index n * =n+ik (c), loss tangent tanδ=ε"/ε′, bulk reflectivity R=[(n−1) 2  parts of surface impedance (e). Note the small value of the reflectivity, which is basically determined by the low value of the real refractive index that is close to 1 due to, both, radiation scattering effect and low density of the material. Densified sample is characterized by larger values of all measured quantities except the surface reactance X s .
The effective THz EMI shielding properties of the proposed aero-GaN can be studied by extracting the corresponding shielding effectiveness (SE), which accounts for two major contributions: shielding by reflection (SER) and shielding by absorption (SEA). In particular, SE is the 10base logarithm of the ratio of the incident power I (or transmitted power in absence of any shield) to the transmitted power T (in presence of a shield, i.e. the aero-GaN). However, the two terms SER and SEA strongly depend on the reflected power (R) and the absorbed power A=I−(T+R), respectively. We assume that R also comprises the effect of multiple reflections (i.e. the reflections occurring inside the shielding material due to internal scattering of the EM waves) [17], which decreases the overall EMI SE. However, since the thickness of the sample is greater than the skin depth at the lowest frequency considered for the calculation of the EMI SE (at 0.123 THz, the skin depth is about 450 μm), the contribution of the multiple reflections is negligible. The equations used for the overall SE are the following [18]: Recently, the EMI shielding properties of aero-GaN in X band have been demonstrated [19]: at microwaves, the main contribution is due to SER, since the electrical conductivity of the material is of the order of hundreds up to thousands of S/ m. In the THz region, one can expect that the principal shielding mechanism is due to the absorption of incoming electromagnetic radiation. First, in figure 3 we show the results of measurements of transmission and reflection coefficients (for as-grown and pressed aero-GaN) plotted versus frequency (in THz) at T=300 K, in the range of 0.123-1.374 THz: the transmission decreases by about 4 orders of magnitude and the reflection increases at most four times when the material is densified. Second, figure 4 depicts the extracted SER ( figure 4(a)), SEA ( figure 4(b)) and SE (figure 4(c)) versus frequency (in THz) at T=300 K, in the range of 0.123-1.374 THz, for both as-grown and densified aero-GaN. It is apparent that SER is much smaller than SEA, the former in the range 0.02-0.123 dB and the latter spanning the range 12.51-68.23 dB. As a result, we conclude that the total SE is due (practically) entirely to the absorption contribution (SEA). Moreover, it can be tuned by compressing the GaN.

Conclusions
In this study, we have experimentally determined the spectra of electrodynamic characteristics of the aero-GaN in the THz region, at frequencies 4-100 cm −1 and temperatures 4-300 K: real and imaginary parts of the index of refraction, dielectric permittivity and surface impedance. Basing on the measured transmission and reflection coefficients of the samples, we show that the shielding effectiveness of pressed aero-GaN exceeds 40 dB in the range 0.25-1.37 THz being among the best THz shields known today. We point out that the value of 40 dB is required for industrial applications and is fulfilled in a huge frequency bandwidth of 1.12 THz. We note also that the aero-GaN is an ultralight, hydrophobic and chemically stable making the material attractive for various applications in electronics. [19] Dragoman M, Braniste T, Iordanescu S, Aldrigo M, Raevschi S, Shree S, Adelung R and Tiginyanu I M 2019 Nanotechnology 30 34LT01