A complete knowledge of its excitation spectrum could greatly benefit efforts to understand the unusual form of superconductivity occurring in the lightly hole-doped copper-oxides. Here we use tunnelling spectroscopy to measure the T\to 0 spectrum of electronic excitations N(E) over a wide range of hole-density p in superconducting Bi_{2}Sr_{2}CaCu_{2}O_{8+/delta}. We introduce a parameterization for N(E) based upon an anisotropic energy-gap /Delta (\vec k)=/Delta_{1}(Cos(k_{x})-Cos(k_{y}))/2 plus an effective scattering rate which varies linearly with energy /Gamma_{2}(E) . We demonstrate that this form of N(E) allows successful fitting of differential tunnelling conductance spectra throughout much of the Bi_{2}Sr_{2}CaCu_{2}O_{8+/delta} phase diagram. The resulting average /Delta_{1} values rise with falling p along the familiar trajectory of excitations to the 'pseudogap' energy, while the key scattering rate /Gamma_{2}^{*}=/Gamma_{2}(E=/Delta_{1}) increases from below ~1meV to a value approaching 25meV as the system is underdoped from p~16% to p<10%. Thus, a single, particle-hole symmetric, anisotropic energy-gap, in combination with a strongly energy and doping dependent effective scattering rate, can describe the spectra without recourse to another ordered state. Nevertheless we also observe two distinct and diverging energy scales in the system: the energy-gap maximum /Delta_{1} and a lower energy scale /Delta_{0} separating the spatially homogeneous and heterogeneous electronic structures.
Superconducting quantum interference phenomenon in Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ single crystals
研制了基于Bi $_2$ Sr $_2$ CaCu_2 O $_{8+δ}$高$T_c$超导体本征约瑟夫森结的可操作的dc-SQUID。新颖的平面内回路布局和开发的原位端点检测方法允许精确控制SQUID中的结数。观察到超导电流作为通过SQUID环的磁通量的函数的明显的周期性调制。这是Bi $_2$ Sr $_2$ CaCu_2 O $_{8+δ}$单晶中量子干涉现象的明确证据。
Dynamics of the superconducting order parameter through ultrafast normal-to-superconducting phase transition in Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+δ}$ from multi-pulse polarization-resolved transient optical reflectivity
利用全光偏振敏感多脉冲光谱技术,系统地研究了Bi $_{2}$ Sr $_{2}$ CaCu $_{2}$ O $_{8+δ}$铜氧化物超导体中飞秒光学超导态的温度效应.在低温和部分SC状态抑制的各向异性SC间隙恢复时间尺度的数据建议。SC态的破坏和恢复动力学进行了比较,最近TR-ARPES-推断SC间隙动力学和定性的协议被发现。使用唯象响应函数的实验数据也与时间相关的Ginzburg-Landau模型模拟。
Interplay between Superconducting and Pseudogap States Revealed by Heating-Compensated Interlayer Tunneling Spectroscopy on Bi$_2$Sr$_2$CaCu$_2$O$_{8+x}$
热补偿层间隧穿谱是在Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+x}$本征结的叠层上进行的。在温度和磁场变化的情况下,不考虑局部加热的高精度谱表明,形成超导相干峰的谱权主要来自赝能隙态驼峰结构的凹陷位置。观察到的U形子带隙结构与参考文献[17]中提出的结中Cu-O双层之间的加权波腹隧穿一致。
On the Nature of the `Quasiparticle' Peak in the Angular Resolved Spectrum of the Superconducting Underdoped Bi$_2$Sr$_2$CaCu$_2$O$_8$
研究了Bi $_2$ Sr $_2$ CaCu $_2$ O $_8$在超导转变温度以下冷却时,$M$点附近角分辨光电子能谱的重构.限制我们的注意力的情况下,欠掺杂的样品,我们提供了一个现象学的机制独立的参数,解释了出现在频谱中的正常状态pseudogap的峰值。所有的基本实验观察,包括峰值色散,“dip-and-hump”形状的超导态谱和外观的峰值在温度略高于$T_c$,自然解释。
Unusual dependence of vortex core states on the superconducting gap in Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$
利用扫描隧道谱研究了Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$中涡旋核的准粒子态.观察到的涡核态的能量与核外区域的超导能隙近似成线性比例。这清楚地将它们与传统的定域核心状态区分开来,并且是负责它们在高温超导体中离散外观的机制的签名。涡核态的能量标度也表明了Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$和YBa $_2$ Cu $_3$ O $_{7-δ}$中涡核的共同性质。最后,观察到的涡核状态不显示任何依赖于所施加的磁场的范围从1到6 T。
Transport Properties of Vortex Matter Governed by the Edge Inductance of Superconducting Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8}$ Single Crystals
本文研究了超导Bi $_2$ Sr $_2$ CaCu $_2$ O $_8$晶体中的输运电流分布以及通过样品边缘的涡流。我们表明,$T_x$过渡是电动力学,而不是热力学性质,低于该涡旋动力学是由边缘电感,而不是电阻。这允许测量低至传输噪声两个数量级的电阻。通过照射电流接触的电阻阶跃在涡流熔化示出是由于c轴相关性的损失,而不是准长程序内的a-b平面的故障。
Evidence of strong correlations at the van Hove singularity in the scanning tunneling spectra of superconducting Bi_{2}Sr_{2}CaCu_{2}O_{8+δ} single crystals
High-transition temperature superconducting whiskers of Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+δ}$ were successfully grown from pulverized amorphous precursors. The obtained whiskers revealed a typical composition and diffraction patterns of a superconducting Bi-2212 phase. The whiskers from tiny precursors exhibit a spiral feature, suggesting a contribution from the growth mechanism of both vapor-liquid-solid and compressive stress models. The proposed method provides longer whiskers against the growth period, compared with that from conventional root-growth method.
Photoinduced changes of the chemical potential in superconducting Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$
超导体的化学势至关重要,因为在平衡状态下,它是电子配对并形成超导凝聚体的能量。然而,在非平衡测量中,准粒子的化学势和对的化学势之间可能存在差异。在这里,我们报告了一个系统的时间和角度分辨的光电子能谱研究的泵引起的化学势的变化的最佳掺杂的Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$(Bi 2212)样品在其正常和超导状态。化学势的变化可以通过分别考虑相对于真空的价带能量的变化和相对于价带能量的化学势的变化来理解。我们将前一种效应归因于样品表面势垒的变化,而后一种效应归因于电荷在非对称态密度下的守恒。结果表明,即使在皮秒时间尺度上,电子对化学势和准粒子化学势也是相互跟随的。
Possible Nodeless Superconducting Gaps in Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ and YBa$_2$Cu$_3$O$_{7-x}$ Revealed by Cross-Sectional Scanning Tunneling Spectroscopy
铜氧化物高温超导体中的配对及其起源仍然是凝聚态物理学中最持久的谜团之一。利用截面扫描隧道显微镜/光谱,我们清楚地揭示了BiPDMATHABMM Sr $_2$ CaCu $_2$ O $_{8+δ}$(Bi 2212)和YBaPDMATHABMM Cu $_3$ O $_{7-x}$(YBCO)超导能隙结构沿其$c$ -轴的空间依赖性或不均匀性,其尺度小于层间距.通过对Bi 2212单晶和YBCO薄膜的(100)面隧穿,我们在每个样品的不同区域都观察到了具有扩展的平坦零电导底部的U形隧穿谱和V形带隙结构。在YBCO薄膜上,隧穿到(110)面的带隙为U形,没有零偏压峰。我们的分析表明,U形间隙可能是一个无节点的超导间隙。V形间隙具有非常小的幅度,并且可能是由具有较大U形间隙的区域引起的接近。
Pseudogap Behavior Revealed in Interlayer Tunneling in Overdoped Bi$_2$Sr$_2$CaCu$_2$O$_{8+x}$
我们报告的热补偿层间隧道光谱(ITS)进行堆叠过掺杂的Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+x}$本征结,其中大部分的偏压引起的加热在ITS被消除。的赝能隙(PG)的起始温度,显示在驼峰结构的电子激发光谱,达到近室温的过掺杂本征结,这代表了真正的PG发病。在低于但接近$T_c$的温度下,超导相干峰和赝能隙峰共存,这意味着这两个能隙是不同的起源。在$T_c$以下的峰电压随着超导能隙电压的增加而增加,由此得出结论:在我们的ITS中,$T_c$以下的峰结构是由两种不同特征的准粒子谱权的联合贡献引起的:一种是超导态,另一种是靠近波腹区的PG态。
In cuprate superconductors, the doping of carriers into the parent Mott insulator induces superconductivity and various other phases whose characteristic temperatures are typically plotted versus the doping level $p$. In most materials, $p$ cannot be determined from the chemical composition, but it is derived from the superconducting transition temperature, $T_\mathrm{c}$, using the assumption that $T_\mathrm{c}$ dependence on doping is universal. Here, we present angle-resolved photoemission studies of Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$, cleaved and annealed in vacuum or in ozone to reduce or incr…
Anomalous dispersion in the autocorrelation of ARPES data of Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$
我们发现,在角分辨光电子能谱数据的自相关的峰值Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$在超导状态下的结合能小于最大超导能隙的色散行为。然而,对于更高的能量,观察到一个惊人的异常色散,这是电子与集体激发相互作用的结果。相比之下,在赝能隙阶段,我们只观察到自相关峰的无色散行为。我们的研究结果的影响方面的傅立叶变换扫描隧道光谱数据进行了讨论。
Modeling Study of the Dip/Hump Feature in Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ Tunneling Spectroscopy
在Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$(Bi-2212)上的高温超导体的隧穿谱可重复地显示出在高于间隙电压的电压下以dip-hump形式的高偏压结构。核心问题是,这一特征是否源于正常态背景,或者是超导机制所固有的。我们通过生成一组模型电导曲线来解决这个问题-一个“正常状态”电导,考虑到诸如能带结构和可能的赝能隙的影响,以及一个纯超导状态电导。当结合时,结果表明,在实验电导曲线中存在的dip-hump特征不能天真地归因于正常状态效应。特别是,在超导体-绝缘体-超导体数据中发现的最佳掺杂的Bi-2212,包括负的dI/dV的强倾角功能,不能是一个外在的赝能隙的后果。然而,这样的特征可以容易地由超导态密度中的状态守恒偏差引起,例如,强耦合效应。
Superconducting (SC) fluctuations in cuprate superconductors have been extensively studied to gain a deep insight into preformed Cooper pairs above the SC transition temperature $T_{\text{c}}$. While the various measurements, such as the terahertz (THz) optical conductivity, Nernst effect, angle-resolved photoemission spectroscopy (ARPES), and scanning tunneling microscopy (STM) measurements have provided the signature of the SC fluctuations, the onset temperature of the SC fluctuations depends on the measurement scheme. Here, we shed light on the Higgs mode to investigate the SC fluctuations,…
Fluctuating superconductivity - vestigial Cooper pairing in the resistive state of a material - is usually associated with low dimensionality, strong disorder or low carrier density. Here, we report single particle spectroscopic, thermodynamic and magnetic evidence for persistent superconducting fluctuations in heavily hole-doped cuprate superconductor Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ ($T_c$ = 66~K) despite the high carrier density. With a sign-problem free quantum Monte Carlo calculation, we show how a partially flat band at ($π$,0) can help enhance superconducting phase fluctuations. Finally, w…
Tunneling spectra of submicron Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ intrinsic Josephson junctions: evolution from superconducting gap to pseudogap
本文给出了近最佳掺杂亚微米Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$本征约瑟夫森结的隧穿谱,并在超导能隙演变为赝能隙的区域进行了研究。使用Norman { \it et al.}提出的自能模型分析光谱,其中考虑了准粒子散射率$Γ$和对衰变率$Γ_Δ$。从该模型导出的态密度具有熟悉的Dynes形式,其中用$γ_+$ =($Γ$ + $Γ_Δ$)/2简单地替换$Γ$。通过拟合实验光谱得到的$γ_+$参数显示出大致线性的温度依赖性,这对$Γ$和$Γ_Δ$之间的关系提出了很强的约束。我们从隧穿和角分辨光电子能谱实验中讨论和比较了赝能隙相中的费米弧行为。我们的结果表明,两个实验之间的一个很好的协议,这是有利于前体配对的赝能隙的观点。
Thin films of the high-temperature superconductor HgBa$_2$CaCu$_2$O$_{6+δ}$ have been prepared on SrTiO$_3$ substrates by pulsed-laser deposition of precursor films and subsequent annealing in mercury-vapor atmosphere. The microstructural properties of such films can vary considerably and have been analyzed by x-ray diffraction and atomic force microscopy. Whereas the resistivity is significantly enhanced in samples with coarse-grained structure, the Hall effect shows little variation. This disparity is discussed based on models for transport properties in granular materials. We find that, des…
Relation between the one-particle spectral function and dynamic spin susceptibility in superconducting Bi$_2$Sr$_2$CaCu$_2$O$_{8-δ}$
角分辨光电子能谱(ARPES)提供了重整化能带结构的详细视图,因此,是自能和单粒子格林函数的关键。在这里,我们总结了ARPES数据积累在整个布里渊区的最佳掺杂的Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8-δ}$到格林函数的参数模型,我们使用它来计算巡回分量的动态自旋极化率的绝对单位与多体效应考虑在内。通过与非弹性中子散射(INS)数据的比较,我们发现自旋响应的巡游分量可以解释实验INS谱的积分强度。考虑到双层分裂,我们解释了磁共振的声学(奇数)和光学(偶数)INS通道。
Finite band inversion of ARPES in Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ in comparison with optics
使用最大熵技术在有限频带Eliashberg形式主义,我们提取最近的高精度节方向角分辨光电子能谱(ARPES)数据在最佳掺杂的Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$(Bi 2212)的准粒子电子玻色子谱密度。对具有d-波隙对称性的正常态和超导态都进行了处理。有限和无限带的结果被认为是和对比。我们比较获得的相关的传输谱密度,从一个类似的光学数据反演的结果。我们讨论了我们的结果的影响准粒子重整化的反节方向。
Negligible Normal Fluid in Superconducting State of Heavily Overdoped Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ Detected by Ultra-Low Temperature Angle-Resolved Photoemission Spectroscopy
Photoinduced filling of near nodal gap in Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$
我们报告的时间和角度分辨光谱测量最佳掺杂的Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$。光谱函数作为温度、光激发密度和来自泵浦脉冲的延迟时间的函数被监测。根据我们的数据,超导能隙在离开节方向时变得稍微更硬。当用足够大的能量密度泵浦超导体时,节状准粒子发展出更快的动力学,足以引起带隙的完全坍缩。我们讨论了观察到的弛豫的动态改造的库珀对。
Fine Details of the Nodal Electronic Excitations in Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$
对最佳掺杂的Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$的高质量样品进行了非常高能量分辨率的光电子能谱实验,显示出低能电子激发的新特征。在超导转变温度$T_C$附近观察到近节散射率的结合能和温度依赖性的显著变化。在低能下测量的散射率的温度斜率在~ $T_C$处显示出不连续性。在超导状态下,发现相干激发与散射率表现出立方频率和温度的依赖关系。超导能隙具有d波幅度,其中高次谐波的贡献可以忽略。此外,双层分裂已被发现是有限的节点。
Bi-based cuprate superconductors are important materials for both fundamental research and applications. As in other cuprates, the superconducting phase in the Bi compounds lies close to an antiferromagnetic phase. Our density functional theory calculations based on the strongly-constrained-and-appropriately-normed (SCAN) exchange correlation functional in Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ reveal the persistence of magnetic moments on the copper ions for oxygen concentrations ranging from the pristine phase to the optimally hole-doped compound. We also find the existence of ferrimagnetic solutions…
Comment on Counterintuitive consequence of heating in strongly driven intrinsic junctions of Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ mesas
在最近的论文[Phys.Rev.B 81,224518(2010)]中,C. Kurter等人分析了大面积Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$(Bi-2212)台面结构中的强自加热效应。他们的结论是,当台面被加热到超导临界温度$T_c$时,台面中的$dI/dV$电导峰出现。进一步,他们将这一说法推广到所有台面,包括用于本征隧道光谱(ITS)的更小、更好的热锚定台面。在这里,我表明,他们的结论不成立,既不为以前报道的数据,甚至为自己的台地;非常遥远的外推ITS是无效的。我还指出了一些前后矛盾和误导性的提法。
Role of pair-breaking and phase fluctuations in c-axis tunneling in underdoped Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+δ}$
本文用Josephson等离子体共振(Plasma Resonance)方法研究了高能电子辐照引起的具有不同程度受控点状无序的欠掺杂Bi $_{2}$ Sr $_{2}$ CaCu $_{2}$ O $_{8+δ}$超导态的c轴超电流。随着无序度的增加,约瑟夫森等离子体频率与临界温度成比例地降低。等离子体频率的温度依赖性不依赖于辐照剂量,并且与CuO $_{2}$层中超导相的量子涨落模型定量一致。
We report on magnetization experiments from which we obtain the field-induced kinetic energy density, $E_k$, in the superconducting phase of several Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ single crystal samples. The kinetic energy magnitude changes according to the characteristic reduction of the single-electron density of states produced by the pseudogap in the underdoped limit. Moreover, a remarkable peak of $E_k$ occurring at the specific holes density $p\sim0.18$ is related to a van Hove singularity due to the pseudogap closure. We also extracted the superfluid density, $ρ_s$. We conclude that $E_k…
We observe proximity-induced superconductivity in the \textit{in situ} prepared heterostructures constructed by topological insulator Bi$_{2}$Te$_{3}$ thin films and high-temperature cuprate superconductors Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+δ}$. The superconducting gap maximum is about 7.6 meV on the surface of Bi$_{2}$Te$_{3}$ thin films with a thickness of two quintuple layers, and the gap value decreases with an increase in the film thickness. Moreover, the quasiparticle interference data show a clear evidence of a twofold symmetric superconducting gap with gap minima along one pair of the pr…
Spin and orbital excitations in undoped infinite layers: a comparison between superconducting PrNiO2 and insulating CaCuO2
Politecnico di Milano(米兰理工大学);University of Cologne(科隆大学);Université de Strasbourg(斯特拉斯堡大学);European XFEL(欧洲X射线自由电子激光装置);Ca’ Foscari University of Venice(威尼斯卡福斯卡里大学);Chalmers University of Technology(查尔姆斯理工大学);ESRF, The European Synchrotron(欧洲同步辐射装置);Università di Roma Tor Vergata(罗马托维爾加塔大学)
Observation of room-temperature spontaneous phase segregation in overdoped Bi$_2$Sr$_2$CaCu$_2$O$_{8+x}
用高灵敏度交流磁强计测量了{ \rm Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+x}$ }单晶的超导转变花样,研究了其相不均匀性的发生和发展。我们发现,过掺杂的{ \rm Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+x}$ }单晶,即使它们是单相后,立即高温退火过程,显示出逐渐明显的多个超导转变随着时间的推移,因为它们被保持在室温下在干燥的空气气氛中。结果表明,晶体中的氧掺杂剂在室温下仍然是可移动的。这些掺杂剂倾向于重新排列,从而在一周或两周左右的特征时间尺度上形成不同的相。此外,在新的隔离相的抗磁化循环是非常弱的,大概是由于存在额外的不均匀性下降到纳米尺度。我们的研究结果还表明,最佳掺杂的{ \rm Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+x}$ }晶体似乎能够保持在一个单一的阶段随着时间的推移。
Both electronic Raman scattering (ERS) and angle-resolved photoemission spectra (ARPES) revealed two energy scales for the gap in different momentum spaces in the cuprates. However, the interpretations were different, and the gap values were also different in two experiments. In order to clarify the origin of these discrepancies, we directly compared ERS and ARPES by calculating ERS from the experimental data of ARPES through the Kubo formula. The calculated ERS spectra were in good agreement with the experimental results except for the B$_{1g}$ peak energies. The doping-dependent B$_{2g}$ pea…
Bi_2 Sr_2 CaCu_2 O_{8+delta} Bicrystal c-Axis Twist Josephson Junctions: A New Phase-Sensitive Test of Order Parameter Symmetry
Li { \it等} [Phys. Rev. Lett. { \bf 83},4160(1999)]制备原子清洁的Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$(BSCCO)约瑟夫森结,该结位于相同的单晶分裂之间,该单晶分裂堆叠并围绕c轴扭转一个角度$ϕ_0$。对于每个双晶体,c轴扭转结临界电流密度与横跨任一单晶部分的临界电流密度的比率$J_c^J/J_c^S$是1,与$ϕ_0$和结面积的比率$A^J/A^S$无关。从广泛的理论研究,涉及各种隧道和超导序参量(OP)的形式,我们得出结论,结果提供了强有力的证据,为非相干c轴隧穿和占主导地位的OP是s波$T\le T_c$。最近,高野{ \it et al.} [Phys. Rev. B { \bf 65},140315(R)(2002)]从BSCCO晶须扭曲结获得的结果也排除了纯d波OP,但令人惊讶地暗示相干c轴隧穿形成小费米表面热点。
As a typical hole-doped cuprate superconductor, Bi 2 Sr 2 CaCu 2 O 8+δ (Bi2212) carrier doping is mostly determined by its oxygen content. Traditional doping methods can regulate its doping level within the range of hole doping. Here we report the first application of CaH 2 annealing method in regulating the doping level of Bi2212. By continuously controlling the anneal time, a series of differently doped samples can be obtained. The combined experimental results of x-ray diffraction, scanning transmission electron microscopy, resistance and Hall measurements demonstrate that the CaH 2 induced…
High-temperature superconductors (HTS) are important for potential applications and for understanding the origin of strong correlations. Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$ (BSCCO), a van der Waals material, offers a platform to probe the physics down to a unit-cell. Guiding the flow of electrons by patterning 2DEGS and oxide heterostructures has brought new functionality and access to new science. Similarly, modifying superconductivity in HTS locally, on a small length scale, will be of immense interest for superconducting electronics. Here we report transport studies on few unit-cell thick BSCCO a…
On the theory of supermodulation of the superconducting order parameter created by structural supermodulation of apex distance in optimally doped Bi$_2$Sr$_2$CaCu$_2$O$_{8+x}$
Georgi Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences(保加利亚科学院格奥尔吉·纳贾科夫固体物理研究所)