探测第二类超导体中的皮秒级解配对电流
Probing picosecond depairing currents in type-II superconductors

原始链接: https://www.nature.com/articles/s41567-026-03469-z

本研究展示了一种观测 s 波 II 型超导体本征去配对电流密度($J_c^*$)的方法,该方法利用超快电输运来绕过涡旋运动和热效应。对氮化铌(NbN)进行的实验证实,当准粒子能量位移与超导能隙相等时,即达到 $J_c^*$ 阈值,该阈值可在皮秒时间尺度上被精确测量。通过在零场冷却下对单晶样品进行测量,作者将这些基本的去配对过程与涡旋进入或相位滑移动力学等外在现象区分开来。 该研究将实验数据与基于脏极限下微观 BCS 理论的模拟结果进行了比较,两者表现出高度一致性。虽然 $J_c^*$ 对于 s 波超导体有着明确的定义,但 d 波超导体(如 YBCO)中的各向异性能隙使得该量无法观测,这为探测能隙对称性提供了一种新途径。最终,这项研究阐明了超导体中超电流的极限,并为产生超短、高强度磁场脉冲建立了框架。

Hacker News 上近期的一项讨论关注了发表在《自然》杂志上关于第二类超导体“去配对电流”的新研究。 在超导体中,电子形成“库珀对”以实现无电阻导电。理论模型预测,当电流密度达到特定数值时,这些电子对会发生破裂(即去配对)。然而,观察这一现象历来十分困难,因为在达到该阈值之前,其他热效应通常会先破坏超导性。 研究人员利用皮秒级的超快电流脉冲,成功证实了上述理论预测。这种方法使他们能够在次级效应产生干扰前观察到去配对现象。研究团队在两类截然不同的超导体上验证了该技术:经典的低温材料,以及如 YBCO 这样的现代高温铜氧化物超导体。该讨论串还为非物理专业背景的读者提供了更易于理解的总结链接。
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原文

We first rule out the possibility that the observed effects arise from depinned magnetic vortices. First, all experiments were conducted under zero-field cooling conditions, with the ambient magnetic field reduced to below 1 μT using dual magnetic shielding. Such conditions ensure that no pre-existing magnetic vortices are present within the sample area (width ≈ 10 μm × length ≈ 30 μm). Second, even when neglecting the finite time required for vortex entry and depinning under picosecond current drive, the maximum displacement of a vortex would be less than a few tens of nanometres, given maximum vortex velocities on the order of a few tens of kilometres per second7,19,20,21,22,23. Full vortex penetration is therefore implausible. This explains why vortex-induced resistive responses in superconductors typically manifest only on nanosecond timescales17,18,19. Third, the distinct responses observed in the s-wave superconductor NbN and the d-wave superconductor YBCO suggest that the observed picosecond suppression of superconductivity is closely related to the microscopic gap symmetry.

Taken together, these three considerations support the conclusion that the observed depairing current density Jc* in the s-wave type-II superconductor NbN originates from the competition between quasiparticle energy shift and the superconducting gap. In superconductors with an anisotropic gap in momentum space, such as d-wave superconductors, Jc* is not a well-defined quantity and is therefore not observable in the ultrafast transport measurements on YBCO. We note that, the monocrystallinity of both NbN and YBCO thin films (Supplementary Information, section 1) is important here. In polycrystalline superconductor thin films, the phase slip dynamics at domain boundary dominate the sample’s nonlinear response27 and impede the observation of intradomain depairing processes.

Figure 5a compares the conventional critical current density Jc and the intrinsic depairing current density Jc* as functions of temperature in NbN (see raw data in Supplementary Information, section 7). As the temperature increases, Jc decreases much faster than Jc*; at 0.8 × Tc, Jc is nearly an order of magnitude smaller than Jc*.

Fig. 5: Calculations of depairing current density Jc* and simulations of depairing process in the s-wave superconductor NbN.

a, The measured conventional critical current density Jc and intrinsic depairing current density Jc* versus temperature are shown as filled square and circle symbols, respectively. The calculated Jc* versus temperature curve is shown as a dashed grey line. b, Simulations of the depairing process in NbN at 7 K based on BCS theory in dirty limit and tDGL theory, which are show by blue and grey curves. The measurement data at 7 K are shown in light blue.

Source data

Because Jc* is fundamentally determined by the microscopic properties of the s-wave superconductor, it can be calculated directly from microscopic parameters. Assuming at Jc*, the quasiparticle energy shift \(\hslash {{\bf{k}}_{\rm{F}}} \cdot {{\bf{v}}_{\rm{s}}}\) equals the superconducting energy gap Δ, yielding

$${{v}_{\rm{s}}}=\frac{\mathit\varDelta}{\hslash {{\bf{k}}_{\rm{F}}}}=\frac{\hslash }{{{\pi}}m\xi },$$

where m is the effective mass of the electron and ξ is the superconducting coherence length.

The depairing current density is then given by

$${J}_{{\rm{c}}}^{* }={n}_{{\rm{s}}}{v}_{{\rm{s}}}\times \left(2e\right)=\frac{2\hslash e}{{{\pi}}m} \frac{{n}_{\rm{s}}} {\xi},$$

where ns is the superfluid density. By substituting the temperature-dependent functions ns(T) and ξ (T) (Supplementary Information, section 9), the calculated temperature dependence of Jc*(T) shows excellent agreement with the experiments, with the experimentally measured values slightly smaller than the calculated ones. This is possibly because the depairing process partially starts before the quasiparticle energy shift \(\hslash {{\bf{k}}_{\rm{F}}} \cdot {{\bf{v}}_{\rm{s}}}\) reaches the superconducting energy gap Δ due to thermal fluctuations. Details of the calculation are provided in Supplementary Information, section 9.

We simulated the depairing process in the s-wave superconductor NbN, using both time-dependent Ginzburg–Landau (tDGL) theory and microscopic Bardeen–Cooper–Schrieffer (BCS) theory in the dirty limit relying on the Usadel equation30. The microscopic theory directly takes parameters from experimental characterizations of the sample (see details in Supplementary Information, section 8), apart from Dynes broadening, which is set to guarantee numerical convergence and to reproduce the experimental results. In general, the sharp transmission drop is attributed to the strong-nonlinearity of the superfluid density, which depends on the s-wave nature and strong disorder of the system. tDGL cannot capture the strong nonlinearity necessary to model this behaviour, as it relies on expanding the free energy in powers of the order parameter and is only valid near Tc (refs. 31,32). This consistency further confirms that the observed sudden change in the sample’s response originates from the rapid depairing of Cooper pairs in s-wave superconductors. We note that the BCS-based simulations do not fully reproduce the tail behaviour as the response approaches the normal state. This discrepancy suggests the involvement of additional relaxation channels, such as phonon interactions, which is not included in the current model and require further theoretical investigations (see Supplementary Information, section 11 for discussions). For YBCO, constructing a fully microscopic description of the dynamics under strong current pulses remains challenging, as a quantitative microscopic theory for cuprate superconductors is not yet established even in equilibrium. We therefore use a tDGL-based approach to simulate the qualitative features of the dynamics, which is discussed in Supplementary Information, section 11.4.

In summary, we have reported ultrafast electrical transport measurements in which vortex motion and subsequent self-heating are bypassed—thereby enabling the extraction of intrinsic microscopic properties of type-II superconductors. The findings reported here also offer an approach to probing the gap symmetry in systems that cannot be directly accessed using spectroscopic techniques. From an applications perspective, our results further reveal how maximum supercurrents in a type-II superconductor can be reached on a picosecond timescale, providing a potential platform for generating ultrashort, strong magnetic field pulses.

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