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Measuring the Spin Polarization of a Metal with a Superconducting Point Contact

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Abstract

A superconducting point contact is used to determine the spin polarization at the Fermi energy of several metals. Because the process of supercurrent conversion at a superconductor-metal interface (Andreev reflection) is limited by the minority spin population near the Fermi surface, the differential conductance of the point contact can reveal the spin polarization of the metal. This technique has been applied to a variety of metals where the spin polarization ranges from 35 to 90 percent: Ni0.8Fe0.2, Ni, Co, Fe, NiMnSb, La0.7Sr0.3MnO3, and CrO2.

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... A singlet Cooper pair simply cannot enter such a material. Nevertheless, there are experiments [8,9] observing a significant triplet supercurrent in half-metallic samples of CrO 2 brought in proximity with singlet superconductors. Extremely strong spin polarization of this material (up to 97%) was also experimentally confirmed in a related work [10]. ...
... Superconducting current was detected between two tungsten electrodes through a cobalt nanowire of length 600 nm. While spin polarization of cobalt is [8] as high as 42%, the range of proximity effect in this materials is normally about few nanometers [4]. ...
... On the other hand, relatively clean superconductors with Δ ≳ 1 cannot provide necessary spin-orbit scattering since SO ≫ always. In this case, the triplet component is very small and the magnitude of sub-gap Andreev conductance will rather indicate the amount of spin polarization in the ferromagnet [8]. ...
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We calculate the conductance of a junction between a disordered superconductor and a very strong half-metallic ferromagnet admitting electrons with only one spin projection. A usual mechanism of Andreev reflection is strongly suppressed in this case since Cooper pairs are composed of electrons with opposite spins. However, this obstacle can be overcome if we take into account spin-orbit scattering inside the superconductor. Spin-orbit scattering induces a fluctuational (zero on average) spin-triplet component of the superconducting condensate, which is enough to establish Andreev transport into a strong ferromagnet. This remarkably simple mechanism is quite versatile and can explain long-range triplet proximity effect in a number of experimental setups. One particular application of the suggested effect is to measure the spin-orbit scattering time τSO\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\tau _{\text {SO}}$$\end{document} in disordered superconducting materials. The value of Andreev conductance strongly depends on the parameter ΔτSO\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Delta \tau _\text {SO}$$\end{document} and can be noticeable even in very disordered but relatively light metals like granular aluminum.
... Obviously, the valley-and spin-resolved bandgap with the magnitude 2|∆ ησ | can be controlled by using the antiferromagnetic exchange field and electric field. The valley and spin polarizations of the AF region can be given by [48,49] ...
... Interestingly, for a small λ AF , the gap-edge conductance G(∆ 0 ) appears as a sharp peak in figure 3(a), indicating the superconducting DOS coherence peak [53,54]. Particularly, the peak is attributed to the formation of Andreev bound states at the gap edge, which can be used to estimate the superconducting energy gap through transport experiments [48]. However, the sharp coherence peak at the gap edge gradually becomes indistinct with increasing λ AF and is eventually replaced by broadened features at λ AF = 5∆ 0 . ...
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We theoretically study the valley-polarized subgap transport and intravalley pairing states in silicene-based antiferromagnet/superconductor (AF/SC) junctions. It is found that in the absence of an electric field, the antiferromagnetic order induced in silicene can give rise to valley-polarized states that strongly affect the subgap conductance. With the increasing antiferromagnetic exchange field, the gap-edge Andreev-resonant peak is replaced by broadened features for the Homo-SC model whereas by a sharp conductance dip for the Bulk-SC one. This significant difference arises from the intravalley Andreev reflection caused by the valley-mixing scattering in the Bulk-SC model, which can be enhanced by the antiferromagnetic order. Particularly, this intravalley pairing process can be switched on or off by adjusting the spin polarization through the electric field applied in the AF region. Our findings not only pave a new road to employ antiferromagnetic materials in valleytronics, but also facilitate the verification and detection of potential intravalley pairing state and valley polarization in silicene.
... The rapid advancement of spintronics [9] has recently further heightened interest in Heusler alloys [10,11]. These ternary metals hold immense potential in spintronics due to the generation of spin-polarized currents crucial for devices that rely on a spin and utilize the full-spin polarization at the Fermi energy [12][13][14]. Magnetic Heusler alloys have also garnered considerable attention for spintronic applications due to their high Curie (T C ) temperatures and adjustable structural, electronic, and magnetic characteristics [4,5]. ...
... In 1983, HMF behavior was observed by De Groot et al. for the very first time, by studying band structures of half-Heusler compound such as PtMnSb and NiMnSb [9]. Several researchers have been predicted theoretically as well as experimentally, the behavior of HMF in various types of materials such as perovskite compounds La 0.7 Sr 0.3 MnO 3 [10], Heusler alloys Co 2 MnSi [11], double perovskites Sr 2 FeMoO 6 [12], also in binary compound like Cr-doped ZnTe [13], Cr-based BeTe, BeSe [14], V doped MgSe/MgTe [15], BeTe [16], ZnSe [17] and ZnTe [18]. ...
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In this study, spin polarized density functional theory (DFT) is implemented to predict physical characteristic of Be1-xCrxSe (x = 6.25%, 12.5%, 18.75%, 25%) compound. The electronic characteristics of pure BeSe compound show semiconductor behavior but after Cr doping BeSe elucidate half-metallic ferromagnetism (HMF) for all doping concentrations. The outcomes elucidate the total magnetic moment MTot per Cr-atom are 4.0028, 4.0027, 4.0021 and 4.0002 μB for 6.25%, 12.5%, 18.75%, 25% concentrations, respectively and the magnetism mainly originated from d-state of the impurity atom which is further ensured from the magnetic spin density. Furthermore, the optical parameters are also computed to determine the effect of doping on the material’s response to incident light of energy spanning from 0 to 10 eV. The optical study depict that the studied systems possess maximum absorbance and optical conductivity in UV-range with minimal reflection. The overall outcomes illustrate that the Cr doped beryllium selenide (BeSe) is promising material for spintronic and optoelectronic devices.
... As seen from Fig. 2(h), p = ±100% in the regions of a finite N ↑,↓ for one spin and zero N ↑,↓ for another. Unlike RuO 2 (001), the net-spin polarization is nonvanishing for RuO 2 (110), namely p = 31%, which is comparable to the spin polarization of representative FM metals like Fe, Co, and Ni [61,62]. Thus, RuO 2 (110) can be used as a spin detector in MTJs with a single FM electrode. ...
Article
Magnetic tunnel junctions (MTJs) are key components of spintronic devices, such as magnetic random-access memories. Normally, MTJs consist of two ferromagnetic (FM) electrodes separated by an insulating barrier layer. Their key functional property is tunneling magnetoresistance (TMR), which is a change in MTJ's resistance when magnetization of the two electrodes alters from parallel to antiparallel. Here, we demonstrate that TMR can occur in MTJs with a single FM electrode, provided that the counterelectrode is an antiferromagnetic (AFM) metal that supports a spin-split band structure and/or a Néel spin current. Using RuO2 as a representative example of such antiferromagnet and CrO2 as a FM metal, we design all-rutile RuO2/TiO2/CrO2 MTJs to reveal a nonvanishing TMR. Our first-principles calculations predict that magnetization reversal in CrO2 significantly changes conductance of the MTJs stacked in the (110) or (001) planes. The predicted giant TMR effect of about 1000% in the (110)-oriented MTJs stems from spin-dependent conduction channels in CrO2 (110) and RuO2 (110), whose matching alters with CrO2 magnetization orientation, while TMR in the (001)-oriented MTJs originates from the Néel spin currents and different effective TiO2 barrier thickness for two magnetic sublattices that can be engineered by the alternating deposition of TiO2 and CrO2 monolayers. Our results demonstrate a possibility of a sizable TMR in MTJs with a single FM electrode and offer a practical test for using the antiferromagnet RuO2 in functional spintronic devices.
... Due to the fact that their contribution is quite prominent near the fermi level in both spin-states. The following equation can be used to determine the electron's spin polarization at Fermi energy [46], ...
... an ideal material for building spintronic devices. According to previous reports, HMs are found in transition-metal oxides [1][2][3], transition-metal chalcogenides [4][5][6][7][8] or Hessler alloys [9,10]. The rutile structure of CrO 2 is the first experimentally synthesized HM material [11]. ...
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Bipolar magnetic semiconductor (BMS) is a class of magnetic semiconductors, whose valence band maximum and conduction band minimum are fully spin-polarized with opposite spin directions. Due to the special energy band, half-metallicity can be easily obtained in BMS by gate voltage, and the spin polarization can be reversed between spin-up and down when the gate voltage switches from positive to negative. BMSs have great potential applications in spintronic devices, such as the field-effect spin valves, spin filters and spin transistors, etc.. With the rapid progress of the two-dimensional (2D) magnetic materials, more and more 2D BMSs have been explored. In this paper, we review the research progress in 2D BMSs.
... † schatterjee@bose.res.in tunneling microscopy [15], and point-contact Andreev reflection measurements [16,17] are utilized to identify an HMF. However, temperature-dependent electrical resistivity and magnetoresistance (MR) are the bulk measurements and can, in principle, precisely identify a true HMF because of the absence of spin-flip electron-magnon scattering at the E F . ...
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Half-metallic ferromagnets (HMFs) are ferromagnetic metallic compounds with 100% spin polarization at the Fermi level (EF), and thus they are of particular interest in the field of spintronics, but the identification of HMFs with experiments is a challenging task. In principle, temperature-dependent electrical transport measurements should sensitively probe the half-metallic ferromagnetism since the spin-flip electron-magnon scattering mechanism is expected to be absent. In this work, we perform a systematic temperature-dependent electrical transport measurement on the ferromagnetic full Heusler compound Co2MnGe. Our experimental results reveal that Co2MnGe exhibits an exponential suppression of spin-flip electron-magnon scattering below a characteristic crossover temperature (Δ∼79 K), which suggests that this material possesses a perfect spin polarization at the low temperature. The energy gap (kBΔ) characterizing the suppression of spin-flip electron-magnon scattering is ∼7meV. This key finding is further established by a sign change in magnetoresistance at T≳Δ. Moreover, we have also studied the anomalous Hall effect (AHE) of the present compound. We find a notable change in the ordinary Hall coefficient (R0) and in the carrier density (n) at T≲Δ, which is consistent with the complete absence of minority-spin states at the EF. The anomalous Hall resistivity (ρyxA) is observed to scale near quadratically with the longitudinal resistivity (ρxx), and further experimental analysis indicates that the AHE in Co2MnGe is dominated by the intrinsic Karplus-Luttinger Berry phase mechanism. These findings imply that the Co2MnGe is a rare ferromagnetic full Heusler compound in which half-metallicity coexists with the topology-driven AHE.
... It shows HMF behavior, as spin-up version has semiconducting nature while spin-dn version illustrates the metallic behavior showing 100% spin polarization. The following formula is commonly used to compute spin-polarization in half metallic ferromagnetic (HMF) materials [33]. ...
Article
In present work, the magneto-electronic and optical features of Sr1-xNixTiO3 (x = 12.5%, 25%, 50% and 75%) compounds are calculated using full potential linearized augmented plane wave (FP-LAPW) scheme within density functional theory (DFT) as employed in WIEN2k software. The electronic band structures (BS) and density of states (DOS) interpret the induced half metallic ferromagnetism mainly originating from highly spin polarized Ni-d states. The computed value of total magnetic moment of Sr1-xNixTiO3 is 1.99998, 1.99991, 2.00003 and 2.00005 µB at 12.5%, 25%, 50% and 75% concentration respectively, which emerge primarily due to Ni-3d electrons. Furthermore, the optical features (refraction, dielectric function, absorption, and reflectivity) have also been computed within energy range of 0-10 eV. Sr1-xNixTiO3 is optically active in visible to ultraviolet (UV) region owing to low reflectivity and high absorption. Results portray that the studied compound is a potential contender for its usage in the development of spintronic and optoelectronic devices.
... The spinpolarized currents are typically extracted from the laser-induced charge currents through superdiffusive spin scattering, 20,21 resulting in a spin polarization rate of 0.2 to 0.4 within the spin diffusion length. 22,23 As a result, an external magnetic field is usually required to saturate the magnetization of the FM materials, although field-free emitters have recently been realized by utilizing exchange bias between antiferromagnetic and FM nanofilms. 24 In the second step, the efficiency of the relativistic spin-to-charge conversion is characterized by the spin-Hall angle γ. ...
... 38 Table II shows the half-metallic gap (g h ) too, which represents the difference (ΔE) between the unoccupied and occupied energy levels above and below the Fermi energy in the spin-down channel, respectively. 39 The half-metallic gap assisted us in determining the exchange mechanism nature in the spinels under investigation. Figures 5-6 show the calculated PDOS used for the magnetic behaviour analysis of Cs 2 VCl 6 and Cs 2 VBr 6, respectively. ...
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Spintronics is an emerging field based on the usage of electronic-spin for various technological applications. Herein, we explored the ferromagnetic characteristics of novel double-perovskite compounds Cs2VX6 (X=Cl, Br) within the framework of density functional theory. In search of the most stable ground state, we found the ferromagnetic state is at the lowest possible energy state. The structural stability in the cubic phase was assessed from Goldschmidt tolerance factor and thermodynamic stability was confirmed from negative values of formation energies for both compounds. Existence of all positive frequencies in phonon spectra further validates the thermodynamic stability. Spin-polarized density of states and band structures revealed the half-metallic ferromagnetism nature of the elapsolite under investigation. The 100% spin polarization factor along with the reasonable magnetic moment values suggests the potential of these compounds in spintronic applications. Additionally, the thermoelectric response, in terms of high power factors, suggests the suitability of these materials for thermoelectric device applications.
... Semi-metallic ferromagnetism is a new class of materials based on the spin of the electron. The concept of spintronics has been applied in many magneto electronics such as magnetic memory devices, magnetic sensors, tunnel junctions, Very useful in the increase in data processing speed increases the integration speed and it also reduces the power consumption [18][19][20][21]. This paper presents the results of all fundamental physical properties of Co 2 CrZ (Z = As, B, Ga, Pb) compounds using the WIEN2k code and the Atomic Tool Kit-Virtual Nanolab (ATK-VNL) code. ...
Article
Two separate computational algorithms have been used in the current investigation of Full-heusler compounds. One is the pseudo-potential approach used in the Atomistic Tool Kit-Virtual Nanolab, while the other is FP-LAPW method as implemented in WIEN2k. In the computational code, these compounds exhibit mattelic character in both the majority and minority spin channels. According to the WIEN2k and ATK-VNL codes, the computed magnetic moments of these compounds Co2CrZ (Z = As, B, Ga, and Pb) are 4.93 µB and 5.02 µB, 3.00 µB and 3.08 µB, 3.02 µB and 3.16 µB, and 4.07 µB and 4.30 µB, respectively. Between the estimated value and the Slater-Pauling rule, we discovered excellent agreement. These compounds' optical characteristics include reflectivity, refractive index, excitation coefficient, and absorption coefficient, among others. An analysis has been done on the electron energy loss and optical conductivity. Both the electron energy-loss function and the absorption coefficient increase as the energy value increases. As per the results of elastic properties, Co2CrZ compounds with Z = As, Pb are ductile by nature, whereas those with Z = B, Ga are brittle. Co2CrZ (Z = As, B, Ga, and Pb) compounds exhibit metallic behaviour when their Cauchy pressure (CP = C12 - C44) value is positive.
... The lowest-energy spin configuration is then analyzed further. Furthermore, we analyze the magnetic configurations for the percentage of spin 054431-2 polarization (SP) [57,58] using ...
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Considering the vast compositional space of Heusler alloys, first-principles-based calculations are ideally suitable for predicting the ground state structure and tailoring the magnetic properties of these alloys. We perform density-functional-theory-based calculations for step-by-step identification of the most stable phase of Fe2MnSn, taking into account all the different structural phases exhibited for this alloy (viz., cubic L21, cubic XA, tetragonal L21, tetragonal XA, and hexagonal D019), followed by the calculations of magnetic properties. We identify the magnetic ground state of each phase and then the most stable structural phase by taking into account electronic and geometric relaxation, spin polarization, and vibrational free energy contributions. The ferromagnetic configuration of all the phases is found to be energetically the most favorable magnetic state, while the ferromagnetic hexagonal phase is identified to be the stable structural phase of Fe2MnSn, with a sizable magnetization of 6.45µB/f.u. Furthermore, the exchange interactions in the hexagonal phase are calculated using the Liechtenstein approach, and this phase shows a high Curie temperature of 729 K attributed to the strong Fe-Fe exchange coupling. The stable hexagonal phase reveals an in-plane magnetic anisotropy of −1.24 MJ/m3. The large magnetization and high Curie temperature of this phase can make this material suitable for desired magnetic applications. Computational investigations such as this one, in addition to being a cost effective pathway, may provide many valuable insights for the experimental realization and application of a given alloy.
... To estimate the spin polarisation in the chemically ordered L1 0 and L1 1 CoPt samples, we perform point contact Andreev reflection (PCAR) spectroscopy experiments 30,36,[73][74][75][76] . In the PCAR technique, spin polarisation in the ballistic transport regime can be determined from fitting the bias dependence of the conductance with the a modified Blonder-Tinkham-Klapwijk (BTK) model 77 . ...
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