We consider an infinitely long 0-$π$ Josephson junction consisting of 0 and $π$ regions having different critical current densities $j_{c,0}$ and $j_{c,π}$. The ground state of such a junction corresponds to a spontaneosly formed asymmetric semifluxon with tails decaying on different length scales. We calculate the depinning current of such a fractional vortex and show that it is different for positive and negative bias polarity. We also show that upon application of a bias current, the fractional flux (topological charge) associated with the vortex changes. We calculate the range of fractional flux associated with the vortex when the bias changes from negative to positive critical (depinning) values.
Vortex-flow electromagnetic emission in stacked intrinsic Josephson junctions
通过观察Josephson涡旋流电流-电压特性中的多个子分支，证实了在Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+x}$的叠层本征约瑟夫森结中存在由约瑟夫森涡旋晶格运动激发的集体横向等离子体模.我们还观察到了约瑟夫森涡旋晶格与集体横等离子体模共振产生微波辐射的现象，这为研制约瑟夫森涡旋流电磁振荡器提供了可能。
Comment on "Composite excitation of Josephson phase and spin waves in ferromagnetic Josephson junctions" (S.Hikino, M.Mori, S.Takahashi, and S.Maekawa, arXiv:1009.3551)
Josephson radiation is a useful signature for detecting Majorana zero modes in topological superconductors. We study the Josephson radiation of the underdamped topological Josephson junction within the quantum resistively and capacitively shunted junction model. We show that the quantum dynamics of the Majorana two-level system induce oscillatory patterns in the Josephson emission spectra. With the Floquet method, we obtain analytical results for these oscillatory patterns and find that they are well described by Bessel functions. We perform numerical simulations to verify the analytical resul…
Direct-Write Ion Beam Irradiated Josephson Junctions
我们强调的再现性和水平的控制YBa $_2$ Cu $_3$ O $_7$约瑟夫森结的电性能制造的辐照从一个聚焦的氦离子束。具体而言，我们显示了使用大范围的辐照剂量制造的几个结的电输运性质的结果。在该范围的下端，结表现出超导体-正常金属-超导体（SNS）约瑟夫森结特性。然而，随着剂量的增加，有一个过渡到与超导体-绝缘体-超导体（SIS）结一致的电气特性。为了研究大量氦离子约瑟夫森结的均匀性，我们制作了包含20个串联连接的SNS和SIS约瑟夫森结的阵列。这些阵列的电输运性质揭示了非常均匀的结，在临界电流或电阻中没有明显的扩散。
Collective Josephson vortex dynamics in a finite number of intrinsic Josephson junctions
本文报道了在Bi $_{2}$ Sr $_{2}$ CaCu $_{2}$ O $_{8+x}$单晶中由本征约瑟夫森结叠层中的约瑟夫森涡旋晶格激发的集体横向等离子体模的实验证实。通过分析系统的电流-电压特性的约瑟夫森涡流区域中的多个子分支的温度（$T$）和磁场（$H$）依赖性来确认激发。在近静态的约瑟夫森涡旋状态下，一个低的隧道偏置电流，观察到明显的磁阻振荡，这代表了沿c轴的三角晶格涡旋配置。在足够高的磁场和高偏置电流的动态涡旋状态下，观察到单个约瑟夫森涡旋流分支分裂成多个子分支。对不同$H$场的子分支的详细研究表明，子分支代表约瑟夫森涡旋晶格沿c轴的不同模式，具有从三角形到矩形晶格的不同构型。这些多个子分支合并到一个单一的曲线在一个特征温度，以上的约瑟夫森涡晶格的动力学结构转变是预期。
Collective resonance modes of Josephson vortices in sandwiched stack of Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+x}$ intrinsic Josephson junctions
在长结极限下，观察到Bi $_{2}$ Sr $_{2}$ CaCu $_{2}$ O $_{8+x}$单晶的本征约瑟夫森结（IJJ）的电流-电压特性中，低偏置涡旋流分支在密集约瑟夫森涡旋态分裂成多个子分支.每个子分支对应于串联耦合的约瑟夫森结中的等离子体模式。分裂成低偏置线性子分支的斜率和子分支间模式切换字符的扩展是在良好的定量协议与预测的弱，但有限的结间电容耦合模型与电感耦合。这表明电容耦合在精确描述串联堆叠IJJ中的涡旋动力学中的作用的重要性。
Josephson oscillation linewidth of ion-irradiated YBa$_2$Cu$_3$O$_7$ junctions
本文报道了离子辐照YBa $_2$ Cu $_3$ O $_7$约瑟夫森结的噪声特性。本工作的目的是调查的约瑟夫森振荡的线宽与探测器的响应实验在$\simeq$ 132 GHz。实验结果进行了比较与一个简单的分析模型的基础上Likharev-Semenov方程和de Gennes脏极限近似。我们表明，在这些结的低频波动的主要来源是宽带约翰逊噪声和过剩（$\frac{1}{f}$）噪声的贡献并不占上风的温度范围内的利益，在一些其他类型的高T $_c$超导约瑟夫森结。最后，我们讨论了离子辐照结的兴趣，以实现由同步阵列的约瑟夫森结组成的频率可调谐振荡器。
We consider Majorana zero modes in a Josephson junction on top of a topological insulator in transverse magnetic field. Majorana zero modes reside at periodically located nodes of Josephson vortices. We find that hybridization of these modes is prohibited by symmetries of the problem at vanishing chemical potential, which ensures better protection of zero modes and yields methods to control the tunnel coupling between Majorana modes for quantum information processing applications.
The Josephson vortex formed in a superconductor-insulator-superconductor (SIS) junction can affect the quantum mechanics of quasiparticles by creating an effective adiabatic potential determined by the inhomogeneous distribution of the phase difference of the order parameter along the junction. Starting from the quasiclassical version of the Bogoliubov-de Gennes (BdG) theory, we found the quasiparticle spectrum and the local density of states (DOS) both for the isolated Josephson vortex and the vortex chain. The spatially resolved DOS reveals a peculiar two-peak structure for each Josephson vo…
