磁场作用下超导圆环的涡旋演化

利用Ginzburg-Landau理论模拟在外磁场作用下超导圆环的涡旋演化,讨论了外磁场、材料参数以及圆环内外径对涡旋进入超导圆环体以及涡旋达到稳定分布的影响.研究结果表明:外磁场越大,材料参数κ越大,圆环环身越宽,则超导圆环体内容纳的涡旋就越多.当磁场较小时,涡旋只由内边界进入超导体,当磁场足够大时,涡旋则先由外边界,然后再从内边界进入超导体.     

三维介观超导环的涡旋结构

在Ginzburg-Landan理论的框架下, 运用有限差分法研究了在圆环电流产生磁场下的介观超导圆环内的涡旋结构, 讨论了超导圆环尺寸和不同空间分布的磁场对涡旋形成的影响, 得到在一般超导圆环体内的基态多是巨涡旋态、而多涡旋态多以激发态形式存在的结论, 说明磁场一般从超导圆环的环孔穿过, 而很难穿过超导圆环体.     

高温超导体混合态磁通涡旋结构

利用紧束缚模型,对s-d混合波的存在性作了讨论.在Ginzburg-Landan理论框架下,严格求解了高温超导体混合配对态磁通涡旋结构.结果表明,其磁通涡旋的分布与单个涡旋的结构密切相关.在低温下,由于序参量s波成分的存在及它与d波分量的耦合,引起局域磁场和d波分量的各向异性,使磁通涡旋呈斜格子分布,而在温度近于转变温度时,各向异性消失,涡旋态转化为三角格子.这与YBa₂Cu₃O₇样品的小角度中子散射实验的结果相符合. 关键词：     

介观薄圆环中的间隙性超导

本文运用了唯象的Ginzburg-Landau 理论研究了介观薄圆环的间隙性超导, 给出了在外磁场作用下超导圆环出现间隙性超导现象的尺寸相图. 这种间隙性超导现象只出现在尺寸小圆环中, 而且是超导圆环区别于超导圆盘的一个特征.     

高温超导混合配对态与磁通涡旋格子

建立在对基于Gor’kov方法而导出的微观GinzburgLandau方程的分析揭示了高温超导体YBa2Cu3O7配对态对称性和磁通涡旋格子结构.分析指出,存在一个格子转变温度T,当温度高于T时,超导基态显示dx2-y2波对称性特征;低于该温度s波沟道幅值成为可观的量级;超导基态为混合s-dx2-y2态.对应单分量波函数磁通涡旋格子为三角的结构;而稳定的斜格子反映出混合波特征.s与d沟道间耦合约束了磁场下dx2-x2波对称性自由度,而对高温超导反常输运行为如上临界磁场温度曲线上翘现象所负责 关键词： 高温超导 GinzburgLandau理论 磁通涡旋     

薄介观超导环中的涡旋电荷分布

本文用Ginzburg-Landau理论研究在薄介观超导环中的涡旋电荷分布.对于巨涡旋态,我们发现随着外场的增加,内半径附近的电荷会从负号变为正号.本文表明,是顺磁迈斯纳效应和抗磁迈斯纳效应的竞争决定了涡旋电荷的分布.     

三维介观超导环涡旋态的研究

通过数值求解非线性金兹堡-朗道(G-L)方程组,研究了三维介观超导环中的涡旋态。发现了在细环中只能存在巨涡旋态,以及存在顺磁、抗磁迈斯纳效应和间隙性超导现象。在粗环中,发现了多涡旋态和巨涡旋态共存的混合态。相应讨论有助于理解介观超导环中涡旋态相变。     

s+id波高温超导体的单根涡旋线结构

用松弛叠代法数值求解了在s+id混合波对称性考虑下的Ginzburg-Landau方程，得到s+id高温超导体单根涡旋线的结构，并研究了其随温度磁场变化的特性.同时，也计算了在该考虑下的上临界场H_c2的曲线，相应的数值结果与实验结果定性一致. 关键词：     

薄介观超导环中的涡旋电荷分布

本文用Ginzburg-Landau理论研究在薄介观超导环中的涡旋电荷分布．对于巨涡旋态，我们发现随着外场的增加，内半径附近的电荷会从负号变为正号．本文表明，是顺磁迈斯纳效应和抗磁迈斯纳效应的竞争决定了涡旋电荷的分布．     

超导环电流的研究

以修正的含时金兹堡-朗道理论去研究超导环的超流特性；计算了涡旋运动方程，理论上得到超导环电流是超流量子的整数倍，并且具有多涡旋跳跃；从理论上得到超导环的磁场是量子化的.一定条件下，超流的符号可以发生反转，并且理论上得到了它的表达式.认为超导环是具有对势的对称. 关键词： 超导环 电流 超导电性     

A single Abrikosov vortex trapped in a mesoscopic superconducting cylindrical surface

We investigate the behaviour of a single Abrikosov vortex trapped in a mesoscopic superconducting cylindrical surface with a magnetic field applied transverse to its axis. In the framework of the time-dependent Ginzburg-Landau formalism we show that, provided the transport current and the magnetic field are not large, the vortex behaves as an overdamped quasi-particle in a tilted washboard potential. The cylindrical thin strip with the trapped vortex exhibits E(J) curves and time-dependent electric fields very similar to the ones exhibited by a resistively shunted Josephson weak link.     

Gapless Fermi surfaces of anisotropic multiband superconductors in a magnetic field

We propose that a new state with a fully gapless Fermi surface appears in quasi-2D multiband superconductors in magnetic field applied parallel to the plane. It is characterized by a paramagnetic moment caused by a finite density of states on the open Fermi surface. We calculate thermodynamic and magnetic properties of the gapless state for both s-wave and d-wave cases, and discuss the details of the first order metamagnetic phase transition that accompanies the appearance of the new phase in s-wave superconductors. We suggest possible experiments to detect this state both in the s-wave (2-H NbSe2) and d-wave (CeCoIn5) superconductors.     

Role of electronic nematicity in the interplay between s- and d-wave broken-symmetry states

To understand the role of electronic nematic order in the interplay between s- and d-wave particle-particle or particle-hole condensate states, relations between various s- and d-wave order parameters are studied. We find that the nematic operator transforms two independent six-dimensional vectors. The d-wave superconducting, d-density wave, and antiferromagnetic orders are organized into one vector, and the s-wave superconducting, charge density wave, and spin-triplet d-density wave orders into the other vector. Each vector acts as a superspin and transforms under the action of SO(6) where charge, spin, η- and π-pairing, spin-triplet nematic operators satisfy the SO(6) Lie algebra. Electronic nematic order is not a part of the SO(6) group. It commutes with all 15 generators. Our findings imply that nematic order does not affect the competition among the order parameters within the same superspin, while it strongly interferes the interplay between two order parameters that belong to different superspins. For example, nematicity allows a linear coupling between d- and s-wave superconducting order parameters which modifies the superconducting transition temperature. A generalized Ginzburg-Landau theory and further physical implications are discussed.     

Local Minimizers of the Ginzburg-Landau Energy with Magnetic Field in Three Dimensions

We establish the existence of locally minimizing vortex solutions to the full Ginzburg-Landau energy in three dimensional simply-connected domains with or without the presence of an applied magnetic field. The approach is based upon the theory of weak Jacobians and applies to nonconvex sample geometries for which there exists a configuration of locally shortest line segments with endpoints on the boundary.Research partially supported by NSERC grant number 261955     

Low energy quasiparticle excitation in the vortex state of borocarbide superconductor yni2b2c

We measured the heat capacity C(p) and microwave surface impedance Z(s) in the vortex state of YNi2B2C. In contrast to conventional s-wave superconductors, C(p) shows a square root[H] dependence. This square root[H] dependence persists even after the introduction of the columnar defects which change the electronic structure of the vortex core regime and destroy the regular vortex lattice. On the other hand, flux flow resistivity is nearly proportional to H. These results indicate that the vortex state of YNi2B2C is fundamentally different from the conventional s-wave counterparts, in that the delocalized quasiparticle states around the vortex core are important, similar to d-wave superconductors.     

s/FI/d超导结的直流Josephson电流

在 s波超导体 /铁磁绝缘层 / d波超导体 Josephson结 (s/ FI/ d)中 ,考虑结界面铁磁绝缘层的磁散射和粗糙散射情况下 ,运用 Bd G方程和 FT的电流公式计算准粒子的输运系数及 s/ FI/ d结的直流 Josephson电流与温度 T、结两侧的相位差之间的关系。研究表明 :结界面的磁散射和粗造散射均抑制结中准粒子的 Andreev反射 ,降低了流过 s/ FI/ d结的直流 Josephson电流 ,直流Josephson电流 I随温度 T、相位差φ的变化曲线强烈地依赖于 d波超导体的晶轴方位     

Response in kinetic Ising model to oscillating magnetic fields

Ising models obeying Glauber dynamics in a temporally oscillating magnetic field are analyzed. In the context of stochastic resonance, the response in the magnetization is calculated by means of both a mean-field theory with linear-response approximation, and the time-dependent Ginzburg-Landau equation. Analytic results for the temperature and frequency dependent response, including the resonance temperature, compare favorably with simulation data.