The present invention relates to a method of manufacturing a magnesium diboride superconducting thin film wire and a magnesium diboride superconducting thin film wire, and more particularly, to a method of manufacturing a magnesium diboride superconducting thin film wire having a high critical current density and a high critical current carrying capacity and a magnesium diboride superconducting thin film wire.
In the related art, metal superconducting materials such as NbTi and Nb3Sn are used as materials of superconducting wires applied to strong magnetic field magnets and the like. However, since these materials have a low superconducting transition temperature (hereinafter, abbreviated to Tc) of 20 K or less, in practical uses, these materials need to be operated at a temperature sufficiently lower than 20 K, and thus, helium cooling is required.
Under such circumstances, as disclosed in NPL 1, magnesium diboride (hereinafter, abbreviated to MgB2) discovered in 2001 has a high transition temperature of 39 K, and thus, the magnesium diboride can be operated sufficiently at 20 K by conduction cooling. Physical properties of the magnesium diboride have been actively researched as disclosed in NPLs 2, 3, 4, and the like.
In terms of applications, MgB2 has the following two main advantages. One is that, since the MgB2 has the highest Tc as a metal superconductor, the superconducting state can be sufficiently realized as a helium-free small-sized refrigerator. The other is that, as disclosed in NPL 5, since the MgB2 has a good intergranular bond, it is possible to apply a relatively simple wire manufacturing method and to expect low cost.
In particular, with respect to superconducting magnets used in medical instrument such as magnetic resonance imaging apparatuses, data collection under a higher magnetic field is desired to improve medical diagnostic accuracy.
Accordingly, a high critical current density (hereinafter, abbreviated to Jc) and a high current carrying capacity (hereinafter, abbreviated to Ic) under a magnetic field are required for the superconducting wire. However, as disclosed in NPL 6, Jc greatly decreases under the magnetic field.
For this reason, improvement of Jc in a magnetic field is an important issue. The decrease in Jc in the magnetic field is caused by the occurrence of the motion of the magnetic flux quanta infiltrating into the superconductor due to a current. It is known that the MgB2 wire is an aggregate of superconducting grains with submicron order, and pinning by grain boundaries inhibits the motion of magnetic flux.
A cross-sectional view of an MgB2 wire 141 in the related art is illustrated in
PTL 1: JP 4812279 B2
NPL 1: Naaamatsu J, Nakagawa N, Marunaka T, Zenitani Y and Akimitsu J, Nature 410 63 (2001).
NPL 2: T. Muranaka and J. Akimitsu, Z. Kristallogr. 226385 (2011).
NPL 3: M. Eisterer, Supercond. Sci. Technol. 20 R47 (2007).
NPL 4: Paul C. Canfield and George W. Crabtree, Phys. Today 56 (3) , 34 (2003)
NPL 5: D. C. Larbalestier, et al., Nature 410, 186 (2001).
NPL 6: R. Flukiger, H. L. Suo, N. Musolino, C. Beneduce, P. Toulemonde, and P. Lezza, Physica C 385, 286 (2003)
NPL 7: G. Blatter, M. V. Feigelman, V. B. Geshkenbein, A. I. Larkin, and V. M. Vinokur, Rev. Moid. Phys. 66, 1125 (1994)
NPL 8: M Haruta, T Fujiyoshi, S Kihara, T Sueyoshi, K Mivahara, Y Harada, M Yoshizawa, T Takahashi, H Iriuda, T Oba, S Awaji, K Watanabe and R Miyagawa, Supercond. Sci. Technol. 20, L1 (2007)
NPL 9: Mikheenko, Journal of Physics: Conference Series 371 (2012) 012064
As the grain boundary density increases, the probability that the magnetic flux is pinned increases. Therefore, it is considered that Jc becomes higher as the grain boundary density is higher. In the wire, since the grain boundary corresponds to an interface between the superconducting grains, the grain boundary density corresponds to the reciprocal of the average grain size. PTL 1 discloses an average grain size of 500 nm as an upper limit with respect to the maximum size of MgB2 grains in the superconducting composition of an MgB2 wire prepared by enclosing Mg and Bin a metal tube. In addition, NPL 9 discloses that the average grain size is inversely proportional to Jc. However, the wires produced in PTLs 1 and 9 have a structure of
In the present invention, with respect to the MgB2 thin film wire made of MgB2 superconductive grains having a columnar structure in the thickness direction, in order to improve Jc by increasing the pinning force, an appropriate average grain size range is disclosed. In addition, a method of manufacturing for realizing the MgB2 thin film wire having an appropriate average grain size is disclosed.
In order to solve the above problems, the inventors of the present invention intensively studied and, as a result, the following knowledge was obtained.
The MgB2 thin film wire of the present invention is configured with an aggregate of MgB2 grains having a columnar structure having a thickness direction of which alignment is controlled to be in a direction perpendicular to a surface of a metal substrate and having a volumetric ratio of MgB2 material to a total volume of the thin film wire of 90% or more, a film thickness is set to be 1000 nm or more and 10000 nm or less in the lateral direction, and an average grain size of the grains is set to 30 nm or more and 200 nm or less, so that Jc and Ic are optimized.
According to the present invention, it is possible to increase Jc and Ic of a thin film wire.
Problems, constructions and effects other than those described above will be clarified by the description of the embodiments below.
In the present invention, the grain size 25 is defined as the maximum size of the grain in the lateral direction 24 of the thin-film wire, and the average grain size is represented by the average value. In the present invention, the optimum average grain size of MgB2 is numerically limited by the following method.
In a case where a current (J) is applied in the magnetic field (B) , the MgB2 thin film superconducting wire according to the present invention, a Lorentz force represented by the following Mathematical Formula 1 per unit length is applied to the magnetic flux quanta.
f
L
=J×Φ
0
e
z [Matematical Formula 1]
Herein, φ0 is a magnetic flux quantum and is represented by the following Mathematical Formula 2.
Φ0=2.067×10−15 [Wb] [Mathematical Formula 2]
Under the magnetic field B, the average magnetic flux distance <a0> (hereinafter, abbreviated to <a0>) is represented by the following Mathematical Formula 3.
Therefore, there are magnetic flux quanta of nv=B/φ0 [number/m2] on average per unit area.
By taking into consideration the competition between the grain boundary density and the pinning force per grain boundary pin, the energy per magnetic flux quantum is represented by the following Mathematical Formula 4,
The first term n the right-hand side represents the contribution of pinning, and the second term represents the modified Bessel function by the repulsive type magnetic flux quanta interstitial phase E function. The third term represents the contribution of the Lorentz force. r[A1]ip is a distance between the grain boundary and the magnetic flux quantum, U0 is a pin potential per grain boundary pin, ξab and λab are a coherence length and a magnetic field penetration length of the MgB2 grains of which alignment is controlled to be in the direction perpendicular to the surface. in addition, ez is a unit vector in the z direction. The contribution from the right-hand side is represented by the following Mathematical Formulas 5 to 7.
E
pin
=U
0
exp(−(rip/√{square root over (2)}ξab)2) [Mathematical Formula 5]
E
vv=(Φ0/4πλab)2 K0(rij/λab) [Mathematical Formula 6]
E
FL=(J×Φ0ez)·r [Mathematical Formula 7]
By using the applied current J in a certain area, the average grain size <aGB>, and the average magnetic flux distance <a0> corresponding to a magnetic field as parameters, an average drift distance <vdrift> of the magnetic flux quanta at 20 K in the steady state was numerically calculated on the basis of Mathematical Formula 4 by using the Monte-Carlo method.
Based on this, Jc was evaluated from the value of J realized by <vdrift> exceeding a certain value.
The average grain size at which Jc has the maximum value does not depend on the magnetic field. Jc has the maximum at about 50 nm, and Jc significantly decreases at less than 30 nm. On the other hand, in the region with a low average grain boundary density, Jc decreases with an increase in average grain size. Jc decreases to about ½ of the peak value at 100 nm, and Jc decreases to about ⅓ or less of the peak value at 200 nm.
From the results of the above-described numerical calculation, it can be understood that the MgB2 thin film wire which can obtain high Jc is made of an aggregate of MgB2 grains of which alignment is controlled in the direction perpendicular to the surface, a ratio of MgB2 to a total volume of the thin film wire is 90% or more, and the lower limit of the average grain size of the grains is at least 30 nm or more, preferably, 40 nm or more in the lateral direction. On the other hand, Jc can be improved by setting the upper limit of the average grain size of the MgB2 thin film to be at least 200 nm or less, preferably, 100 nm or less. Therefore, examples of the method of manufacturing the MgB2 thin film of which the average grain size is controlled within the above-described range will be described below.
A method of manufacturing an MgB2 thin film superconducting wire that realizes an optimum average grain size range obtained from the result of the numerical calculation and superconducting characteristics of the MgB2 thin film superconductor obtained by the method will be described.
In this embodiment, electron beam evaporation is used together with deposition of Mg and B. Two linear evaporation sources 100 filled with Mg metal material and B metal material are irradiated with respective deflected and accelerated electron beams from a linear electron gun 110, Mg and B are co-deposited on a plurality of tape-shaped substrates 130 to be drawn out and wound up by a reel 120. A metal substrate is used as the substrate 130 on which the MgB2 thin film is formed. If a metal substrate is used, the deposited Mg and B react with the surface of the metal substrate to form an intermediate layer 145 having strong adhesion to both the substrate and the MgB2 thin film, and thus, even in the case of a thick MgB2 thin film described later, a film can be formed without peeling.
Unlike other copper oxide superconductors and the like, the metal material does not require alignment treatment, so that there is no particular restriction. For example, various materials such as a Cu alloy, an AI alloy, an iron alloy such as stainless steel, an Ni-based alloy such as hastelloy, and a high melting point metal such as Nb, Ta, or Ti can be used, and these materials can be used appropriately according to cost and application. For example, low-cost Cu alloys and AI alloys are used for power transmission lines to which only self-magnetic field is exerted, and stainless steel and Ni-based alloys such as hastelloy are used for coils to which strong electromagnetic stress is exerted. With respect to the substrate 13, the substrate 130 is heated in a range of 200 to 300° C. by a heater (not shown) which is installed in the reel 12 or a sheath heater or an infrared heater (not shown) which is provided in the chamber to heat the substrate 130 from the back side or the side, and Mg and B reaching the substrate 130 react and bind to each other to form the MgB2 thin film. The lower limit of the temperature range is determined from the fact that the reaction between Mg and B is not sufficiently promoted at 200° C. or lower, and the upper limit of 300° C. or higher is determined from the fact that Mg having high volatility no longer adheres to the substrate 130 and, thus, Mg and B do react with each other.
In this case, although both Mg and B are deposited by using electron beam evaporation, Mg of which a high vapor pressure can be obtained even at a low temperature can be deposited by heating ceramics or metallic citrus (Knudsen cell, effusion cell, or the like) with a heater, so that it is also possible to use electron beam evaporation only for B having a lower vapor pressure and a high melting point. In addition, as a film formation method in the same vacuum, it is also possible to form the film of both Mg and B by a sputtering method. In addition, after the MgB2 thin film 140 is formed on the substrate 130, a low resistance metal film of Cu or AI is further formed as a stabilizing layer 170, and lamination is performed in a separate vacuum chamber (not shown) connected to a main film forming apparatus.
The average grain size of the MgB2 thin film 140 can be controlled by the heating temperature and the film thickness of the substrate 130 at the time of film formation.
The respective average grain sizes are about 40 nm, about 60 nm, and about 80 nm.
A film thickness range appropriate for the MaB2 thin film wire is obtained from
In addition, a film having a film thickness of 1000 nm or more can be formed only in the case of using a metal substrate such as duralumin, copper, or aluminum. In the case of using semiconductors such as Si or sapphire which are common in superconducting electronic devices as a substrate or using an insulating substrate, due to insufficient adhesiveness of the film according to non-formation of the intermediate layer 145 or thermal stress, the film having a film thickness of 1000 nm or more easily peeled off and it is difficult to manufacture the film.
The MgB2 thin film wire for optimizing Jc in the present invention is made of an aggregate of MgB2 grains of which alignment is controlled in the direction perpendicular to the surface, a ratio of MgB2 to a total volume of the thin film wire is 90% or more, the maximum size of the grains is 30 nm or more and 200 nm or less as an average grain size in the lateral direction, and the film thickness is 1000 nm or more and 10000 nm or less. Furthermore, it is more preferable that the maximum size of the grain is 40 nm or more and 100 nm or less, and the film thickness is 1000 nm or more and 10000 nm or less.
Filing Document | Filing Date | Country | Kind |
---|---|---|---|
PCT/JP2015/054699 | 2/20/2015 | WO | 00 |