Proximity Array Device: A Novel Photon Detector Working in Long Wavelengths

: We present here an innovative photon detector based on the proximity junction array device (PAD) working at long wavelengths. We show that the vortex dynamics in PAD undergoes a transition from a Mott insulator to a vortex metal state by application of an external magnetic ﬁeld. The PAD also evidences a Josephson I-V characteristic with the external ﬁeld dependent tunneling current. At high applied currents, we observe a dissipative regime in which the vortex dynamics is dominated by the quasi-particle contribution from the normal metal. The PAD has a relatively high photo-response even at frequencies below the expected characteristic frequency while, its superconducting properties such as the order parameter and the Josephson characteristic frequency can be modulated via external ﬁelds to widen the detection band. This device represents a promising and reliable candidate for new high-sensitivity long-wavelength detectors. its The of the was experimentally at the frequency of f = 7.78 GHz in at the of T = 4.2 a this shows a relatively high voltage sensitivity of 7000 VW − 1 , in absence of magnetic ﬁeld modulations. Our results suggest that photo-response and voltage sensitivity of the proximity junctions array, can be additionally via parameters, i.e., geometry and ﬁeld at speciﬁc operation bias.


Introduction
Long-wavelength radiation has recently become one of the most significant regions of the electromagnetic spectrum in terms of multi-disciplinary use not only in basic science research, but also in different technologies [1][2][3]. This wavelength range λ = 250-2500 µm (energy range 0.5-4 meV) allows the investigation of many fundamental physical phenomena, e.g., phonon and plasmon dynamics, elementary particle physics and probably in the near future even the cold dark matter [4][5][6][7][8][9]. Furthermore, with its high transmission through a wide range of non-conducting materials, long-wavelength radiation and in particular terahertz (THz) radiation holds a significant potential in many applications such as non-destructive imaging, security screening and material characterizations. However, in comparison with adjacent energy ranges, e.g., IR and UV, in this wavelength domain the instrumentation and in particular the detectors are still limited, expensive or difficult to use. For instance semiconducting bolometers are widely used as cryogenic and non-cryogenic THz detectors [10], but their sensitivity to temperature and mechanical fluctuations and their limitations in the high frequency band operation, renders its use mainly confined to laboratories. Recent studies have shown that also superconducting devices can be employed for long wavelengths and in particular for THz generation and detection [11][12][13][14]. These devices exhibit extreme low noise compared to their semiconducting counterparts, while having response time orders of magnitude lower and a higher frequency range of operation. However, the frequency range of the operation is set by the superconducting gap of the material (usually in the range 300 GHz to 1 THz in conventional superconductors and up to 30 THz in cuprates). Furthermore, there are studies showing the possibility to control semiconducting and superconducting properties in materials with physico-chemical treatments [15,16] and systems with low dimensionality [17][18][19][20]. Meanwhile, in recent years several distinctive mechanisms are being explored as new detection methods in this energy domain such as tunnel junctions, high gap superconducting junctions, transition edge sensors, bi-crystal junctions, etc. [21][22][23].
In this work we present and characterize a novel device based on the superconducting proximity junction array that can be used for detection of photons at long wavelengths. The superconducting characteristics of this device based on non-localized vortex dynamics will be discussed. The effect of the quasi-particle currents and the subsequent limitations of this detector will be also reviewed. The response of the device in the radio-frequency domain well below the expected characteristic frequency of the proximity junctions will be presented and further advancements based on non-equilibrium phenomena due to the external perturbations will be discussed. The proposed device represents a step forward toward the design of a robust, low-noise, broadband, high-sensitivity, and long-wavelength radiation detector operating in a wide energy range covering the THz domain.

Experiment
The device we designed and realized consists of an array of about 90000 Nb superconducting islands regularly deposited on a non-superconducting substrate of 80 × 80 µm 2 in size and with a period of ∼270 nm, with an island diameter of ∼220 nm and a thickness of 45 nm (see Figure 1). Standard photo-lithographic tools have been employed to obtain a 40 nm thick Au template on the non-superconducting Si/SiO 2 substrate (1 × 1 cm 2 ). The template consists of a central square of 82 × 82 µm 2 , with the corners connected to four terminals used for electric measurements. The size of these terminals is 200 × 200 µm 2 , large enough for micro bonding. The Nb pattern is then created on top of the central Au square employing electron beam lithography and DC sputtering. To ensure a uniform current injection inside the array, two 45 nm Nb bus bars were deposited along two opposite sides of the array. The IV measurements were carried out in a shielded cryostat at 4.2 K. A current bias was applied using the signal generator at 107 Hz. Two measurements mode were used. In one the I-V curves were measured amplifying the output voltage via a low-noise amplifier and digitized by the National instruments sampling card (USB-6363). In the second mode, the voltage sinusoidal waveform was measured via a lock-in amplifier locked to the applied current signal, resulting in the direct measurement of the dynamic resistance. The magnetic field was applied by placing a solenoid around the sample with the field perpendicular to the plane of the device. The current through the solenoid increased in a step-wise fashion and separate I-V traces were recorded at each field step.
For the radio-frequency response of the device, a custom-made diamagnetic dipole antenna with length L = λ/2, centered at 8 GHz was inserted inside the cryostat in front of the magnetic coils and the device. The highest transmission line (resonant frequency) using a vector analyzer connected to the antenna was found at f = 7.78 GHz at which the measurements were done. The response measurements were carried out via a continuous measurement of the electrical response of the device with and without the radio-frequency (RF) signal.

Results and Discussion
The transition behavior of the PAD was investigated while cooling to the liquid helium temperature and is shown in Figure 2. The experimental curve points out a percolative transition around the critical temperature T c . It occurs via a multistage coherence development by decreasing the temperature. At T ≥ T 1 , grains of each islands are in an incoherent non-superconducting phase (i.e., the normal state). As they are poly-crystalline islands, initially (T ≤ T 1 ) a coherent phase is established within island grains, after which the system resistance decreases. Lowering the temperature, the intra-island phase coherence continuously strengthens, and the resistance of the system similarly decreases rather than steeply dropping at T 1 . Within this temperature domain the normal-metal coherence length increases until it becomes comparable to the spacing among islands. Then, inter-island phase coherence begins to emerge and finally, reaching T 2 , the system undergoes the transition to a fully superconducting state [24][25][26]. In our device we could observe a high temperature limit T 1 between 15-8 K with T C = 7.5 K and a low fully coherent limit at T 2 = 4.2 K.
The dynamics resistance measurement of the device was performed at 4.2 K in the fully intra-islands coherent phase as a function of the applied magnetics and of the electric field (see Figure 3). The dynamic resistance exhibits a clear evolution from the minima to maxima at the specific applied magnetic fields (frustration fields). The conversion occurs specifically at integer and fractional frustration fields f being the B/B 0 with B 0 = 27.8 mT, the ratio of the magnetic quantum flux on the area of the junction (Φ 0 /a 2 ). The presence of minima in the dynamic resistance (and its analogous counterpart in the resistance) and singularities in the magnetization, reflects the modulation of the ground state energy due to the formation of a periodic vortex pattern, which have been previously observed [27]. However, in our experiment the conversion from minima to maxima in the dynamic resistance increasing the electric field intensity is the direct consequence of the phase transformation from a vortex Mott insulator into a metallic state, a mechanism previously observed in similar systems [28]. These results indicate the possibility to tune the vortex dynamic and to modulate the energy states with an external fields and with an enhanced response at integer and half-integer frustration factors ( f = 1/2 and f = 1) [29]. Percolative superconducting transition of the Nb islands on the Au layer. The island transition occurs at T 1 while the transition of the film is at T 2 . Above T 1 , the Nb islands behave as normal metals and the arrows indicate the coherence in grains and islands. Below T 1 grains start to become coherent throughout each island and at T 1 , Cooper pairs start to diffuse from Nb into Au, and the resistance decreases. Gradually the coherence length of the film becomes comparable to the spacing among islands, and the entire system crosses toward a global phase coherence. As the temperature decreases (T 2 ), the film undergoes a transition to a superconducting state. (Inset): The schematics of the islands on the gold surface deposited on the silicon substrate. The intensity increase at the integer transition points continues with the increase of the applied electric field up to a critical point of the applied current of I = 2.4 mA at which it is severely hindered. In this region the maxima is smeared by the increase of the applied current reaching lower values if compared with the lower applied current, while the maximum also shifts toward a lower frustration value. This behavior corresponds to the emergence of a dissipative regime in which the singularities tends to be wiped out. However, since the resistance of our device shows pronounced dips even at large currents (not shown), indicating strong pinning, neither the minima-to-maxima transitions nor the dissipative behavior can be correlated with a vortex depinning or to the overcome of the critical current [29,30]. Consequently, it can be deduced that at such high current values, the metallic state features are reduced by the contribution of the quasi-particles current, occurring in the normal-metal layer [31].
The I-V measurement of the proximity junction arrays exhibits the typical Josephson behavior (see Figure 4) with the maximum tunneling current (i.e., scape current) I t = 1.2 mA, over which the increase of current is accompanied by the increase of the array's potential. Above the tunneling current, the device shows a shunted behavior that might be due to either the resistive component of the device or to pairs hopping between the potential wells in a medium electric field range in which the field is not sufficient to force the junctions to the normal state. In the measurement range carried out in our experiment we did not observe the transition to the resistive normal state. Hence, the absolute value of the critical current (I C ), being relatively higher than the I t , could not be calculated. The application of the external magnetic field significantly modifies the I-V characteristics of the junction array, towards the hindrance of the junction properties (i.e., lower I t ) due to the superimposition of the screening current generated at the edges of the superconducting contacts, to the vortex current.
On the other hand, the I-V measurements at different applied magnetic fields (see Figure 4) gradually tend to exhibit a S shape behavior. This may indicate a super-relativistic motion of non-localized vortices, in which they can overcome the characteristic electromagnetic wave velocity [32]. This motion should be accompanied by Cherenkov radiation of Josephson plasma waves with a dispersion relation of the eigenmodes given by ω 2 m = ω 2 p + c 2 m k 2 using the Sine-Gordon equations where c m are the characteristic velocities [32][33][34]. However, in this type of proximity array the Cherenkov oscillations induced by moving fluxons are damped by the increased quasi-particle conductance. As a consequence, the decay length of the oscillating tail associated with the fluxon decreases and the resonances on the fluxon step disappear, in agreement with the observed S shape behavior. The observation of the resonance steps can appear either increasing the magnetic field (below H c2 ) or by decreasing the measurement temperature to values well below T 2 . The representative of the Andreev spectra (shown in Figure 4b) of our device was achieved by the numerical derivative of the I-V curves. The reflection peaks at zero field spectra are clearly visible. From them, the gap of the PAD is ∆ ∼1.3 meV. At the magnetic field corresponding to the frustration f = 1, the gap peculiarities in the spectra are not only shifted towards lower energies as is expected in the classical case, but they move in the inverse direction and the intensity increases. This anomalous behavior implies that in the non-localized vortex state a triplet Cooper pairing may occur, with the total spin moment of the superconducting configuration S = 1. In this case, in agreement with the observed vortex dynamics reported in Figure 3, a moderate magnetic field can contribute to the stabilization or even to the enhancement of the superconducting state [35] and hence to the superconducting order parameter.
The response of the device to a radio-frequency (RF) signal was measured in a non-bolometric regime in absence of applied magnetic field ( f = 0). The response of the device to the signals with frequency lower than that of characteristic frequency (RF signal in our case) can be characterized as a perturbation to the system at non-equilibrium that results in the hindrance of the scape current (I t ) and the increase of the scape rate. This modulation directly corresponds to the RF intensity power and frequency [36]. However, the response of the device at frequencies close to the characteristic frequency (THz, in our case), should result in formation of the Shapiro steps, corresponding to the incident frequency [37].
The RF frequency was set to 7.78 GHz, the resonance frequency of the dipole antenna, though far lower than the expected characteristic frequency of the device calculated using the I t and the measured normal resistance of the device. The characteristic frequency was calculated considering the tunneling current maximum (I t ) and the normal resistance of the device (R n = 1.1Ω) as ω c = I t R n /Φ 0 in which Φ 0 = h/2e is the magnetic flux quantum with the value of ω c = 300 GHz [38]. Based on the sample dimensions and the distance from the RF source, the overall RF power collected by the sample was estimated to be of the order of 1 × 10 −6 times the incident power sent to the antenna. The I-V characteristic of the device was measured with and without the RF signal superimposition and it is shown in Figure 4c. The reduction of the I t , indicating the increase of the escaping rate is clearly visible. Though, as discussed above, because of the difference between the RF frequency and the characteristic frequency and the low RF power, the formation of Shapiro steps could not be observed. Nonetheless, the I t contraction, usually associated with the scape rate, can marks the relative response of the device (see Figure 4c-inset).
From the I-V characteristics and the power coupled into the junction we were able to estimate the device voltage sensitivity. Considering the dynamic resistance of the R d = dV/dI ∼ 0.9 Ω (either via the direct ac dynamic resistance, comparable to the numerically derived dc resistance) at the device operation point, slightly above the tunneling current limit I t , we calculated the voltage modulation amplitude, ∆V = R d ∆I where ∆I is the induced current change at the operation point. Accordingly, the voltage sensitivity η = ∆V/P r f of a non-magnetically modulated device was calculated to be of the order of η ∼ 7000 VW −1 [39], which is relatively high compared with the semiconductor detector counterpart, with sensitivities of the order of η ∼ 3000 VW −1 [40]. However, considering the possible impedance mismatch between the antenna and the junction, further reflections could be present and an optimized signal-coupling could increase the precision of the measurements. Since the dynamic resistance of the device is subject to the modulation via the external magnetic field, it is expected that at a certain operation bias, the device response can be significantly enhanced with the application of the magnetic field [41]. Furthermore, because of its characteristic device frequency, an enhanced response in the THz domain is expected.

Conclusions
In this report, we present a proximity junction arrays device (PAD), as a novel long-wavelength radiation detector. We characterized the vortex dynamics of this proximity array device (PAD) vs. external parameters, e.g., magnetic and electric field, showing the occurrence of the transition from a Mott insulating to a metallic state. We also demonstrated that the application of the magnetic field can modulate and significantly enhance the superconducting order parameter. The device shows a shunted collective Josephson characteristics with the characteristic frequency of ω = 300 GHz. The application of the magnetic field also introduces a superimposition of the screening current to the tunneling current, which determines its reduction. The response of the device was experimentally measured at the frequency of f = 7.78 GHz immersed in liquid He at the temperature of T = 4.2 K. As a detector, this device shows a relatively high voltage sensitivity of 7000 VW −1 , in absence of magnetic field modulations. Our results suggest that photo-response and voltage sensitivity of the proximity junctions array, can be additionally enhanced via external parameters, i.e., geometry and magnetic field at specific operation bias.