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The superconducting transition temperature (Tc) of superconductor is related intimately to multiple degree of freedom of charge, spin, orbital and lattice. Many studies have indicated that pressure is an effective way to tune Tc though changing crystal structure and electronic structure. Here, we report a new progress made in the high-pressure studies – discovery of a new type of superconductors whose Tc is robust against large volume shrinkage under extremely high pressure, named RSAVS (robust superconductivity against volume shrinkage) superconductor. Such RSAVS behavior was observed initially in the high entropy alloys of (TaNb)0.67(HfZrTi)0.33 and (ScZrNbTa)0.6(RhPd)0.4, then in the widely-used NbTi alloy, Nb and Ta elements. Analysis shows that this type of superconductor possesses a body-centered cubic crystal structure and is composed of transition metal elements. The observed results not only present new research topics but also raise the question of what determines Tc of conventional or unconventional superconductors.
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Keywords:
- superconductivity /
- high pressure /
- high entropy alloy /
- NbTi alloy /
- metallic element
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图 2 (a) 高熵合金(ScZrNbTa)0.6(RhPd)0.4在2.9—71.8 GPa压力范围内的电阻随温度变化关系; (b) 较低温度范围的归一化电阻; (c) 3.9—80.1 GPa压力范围X射线粉末衍射图谱; (d), (e) 晶格参数和晶胞体积随压力的变化[41]
Figure 2. (a) Temperature dependence of the resistance in the pressure range of 2.9–71.8 GPa; (b) normalized resistance at lower temperature, exhibiting sharp superconducting transitions with zero resistance and the continuous increase in Tc upon compression; (c) X-ray powder diffraction patterns collected in the pressure range of 3.9–80.1 GPa; (d), (e) pressure dependence of the lattice parameter and unit cell volume [41].
图 3 高压下NbTi合金结构信息 (a) 0.1—200.5 GPa压力范围内X射线粉末衍射图谱; (b), (c) 两轮独立测量获得的晶格参数和晶胞体积随压力的变化. 图(b)插图为NbTi超导体晶体结构示意图 [42]
Figure 3. Structure information for NbTi at high pressure: (a) X-ray powder diffraction patterns collected in the pressure range of 0.1–200.5 GPa; (b), (c) pressure dependence of the lattice parameter and unit cell volume for independent two runs. The inset of Figure (b) displays the schematic crystal structure of the NbTi superconductor [42].
图 4 Nb0.44Ti0.56的超导性在不同压力和磁场条件下的变化以及摩尔体积的压力依赖关系. 在压力与超导转变温度(Tc)关系图中, 彩色球代表来自不同轮实验的Tc值. 在磁场B(T)与Tc关系图中, 黑色、绿色和红色球代表在零磁场和外加磁场下获得的Tc值. 在压力与体积(–∆V = Vp – V0, 其中Vp是在固定压力下的体积, V0是环境压力下的体积)关系图中, 粉色和蓝色方块表示来自两轮独立实验的结果. 红色五角星号代表最高压力下的Tc值, 绿色五角星号表示1.8 K下的临界磁场和本研究的最大压力, 蓝色五角星号表示研究中所施加最高压力下的相对体积[42]
Figure 4. Superconductivity of Nb0.44Ti0.56 under various pressure and magnetic field conditions, and the pressure dependence of its molar volume. In the panel of pressure versus superconducting transition temperature (Tc), the colored balls represent the Tc obtained from the different experimental runs. In the panel of magnetic field, B (T) versus Tc, the black, green, and red balls represent Tc obtained under zero and applied magnetic fields. In the panel of pressure versus volume (–ΔV = Vp – V0, where Vp is the volume at fixed pressure and V0 is the ambient-pressure volume), the pink and blue squares represent the results obtained from the two independent runs. The red star labels the Tc value at the record-high pressure, the green star marks the critical field at 1.8 K and the maximum pressure of this study, and the blue star refers to the relative volume at the highest pressure investigated. The top left panel displays that the maximum pressure of this study falls in that of outer core of the earth [42].
图 6 RSAVS超导体的超导转变温度随体积的变化 (a) (TaNb)0.67(HfZrTi)0.33和(ScZrNbTa)0.6(RhPd)0.4高熵合金、NbTi合金和单质金属Ta和Nb的超导转变温度(Tc)随体积的变化. 为了方便对不同材料进行比较, 采用相对体积变化率(–ΔV/V0)作为变量. 图中的箭头表示RSAVS状态出现的临界压力(PC). 对于(ScZrNbTa)0.6(RhPd)0.4超导体, PC约为30 GPa(对应体积变化率–ΔV/V0约为15.5%), 对于(TaNb)0.67(HfZrTi)0.33超导体, PC为60 GPa(–ΔV/V0 = 21.6%), 对于NbTi超导体, PC为120 GPa(–ΔV/V0 = 34.7%), 而对于单质Ta和Nb超导体, PC为1 bar. PE和P*分别表示RSAVS态的结束压力和测量到RSAVS态的最高压力. (b) (TaNb)0.67(HfZrTi)0.33和(ScZrNbTa)0.6(RhPd)0.4高熵合金、NbTi合金以及单质Ta和Nb的晶体结构示意图, 均为体心立方结构[43]
Figure 6. Superconductivity and crystal structure for the RSAVS superconductors. (a) The pressure-dependent change in the superconducting transition temperature (Tc) of the (TaNb)0.67(HfZrTi)0.33 and (ScZrNbTa)0.6(RhPd)0.4 high-entropy alloys, the NbTi alloy, and the elemental metals, Ta and Nb. In order to facilitate the comparison of the different materials, we use the volume shrinkage (–ΔV/V0) as a variable. Arrows in the diagram indicate the critical pressure (PC) where the RSAVS state emerges. PC is about 30 GPa [the corresponding volume (–ΔV/V0 ) change is about 15.5%] for the (ScZrNbTa)0.6(RhPd)0.4 superconductor, 60 GPa (–ΔV/V0 = 21.6%) for the (TaNb)0.67(HfZrTi)0.33 superconductor, and 120 GPa (–ΔV/V0= 34.7%) for the NbTi superconductor, while PC is 1 bar for the elemental Ta and Nb superconductors. PE and P* represent the end pressure of the RSAVS state and the highest pressure measured for the RSAVS state, respectively. (b) Sketches for the lattice structure of the (TaNb)0.67(HfZrTi)0.33 and (ScZrNbTa)0.6(RhPd)0.4 high-entropy alloys, NbTi alloy, and elemental Ta and Nb, which all possess body-centered cubic structure [43]
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