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。     

利用W波段高T_c超导-介质谐振器测量YBa_2Cu_3O_(7-x)薄片的毫米波表面阻抗

本文报道利用高 T_c 超导-介质谐振器测量 YBa_2Cu_3O(7-x)表面阻抗随温度的变化.谐振器由蓝宝石管两端加载 YBCO 超导片组成.测量表明,当温度渐降低于80K 时,样品的表面电阻 R_s 迅速下跌;但在低的相对温度下(如t=0.2=T/T_c),样品的 R_s 仍较大,与 BCS 理论预计相去甚远.文中还提出决定λ_L(t)的一种新方法,并从我们的实测数据导出最佳拟合曲线满足λ_L(t)=λ_L(0)(1-t~2)~(-1/2).     

Chaos synchronization based on intermittent state observer

This paper describes the method of synchronizing slave to the master trajectory using an intermittent state observer by constructing a synchronizer which drives the response system globally tracing the driving system asymptotically. It has been shown from the theory of synchronization error-analysis that a satisfactory result of chaos synchronization is expected under an appropriate intermittent period and state observer. Compared with continuous control method, the proposed intermittent method can target the desired orbit more efficiently. The application of the method is demonstrated on the hyperchaotic R?ssler systems. Numerical simulations show that the length of the synchronization interval τ_s is of crucial importance for our scheme, and the method is robust with respect to parameter mismatch.     

随机性参数自适应的混沌同步

对两个不同参数的混沌系统进行随机性参数自适应控制，选取合适的控制律和反馈系数，导致其同步.以Henon映射为例进行数值模拟，结果表明，由于控制周期和反馈系数的随机变化，具有一定的实用意义. 关键词： Henon映射 混沌同步 随机性自适应控制     

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：     

YBa_2Cu_3O_(7-δ)超导体的微波特性

本文对YBa_2Cu-3O_(7-δ)材料的表面阻抗的系列研究工作进行了归纳.与经典超导体相比,该类氧化物超导体的微波表面电阻在低温区所呈现的反常,当源于材料的内在特性.我们认为它是材料中存在一定量的未配对载流子所致;而其中 CuO 链的影响是应当考虑的.基于YBa_2Cu_3O_(7-δ)的格胞排序组构,借鉴 Allender 模型,我们提出了修正电导率σ.∝ln(Δ/(?)ω)·[c_1e~(-Δ/K_BT)+(1-c_1)((K_BT)/Δ)]来表征材料的传导电性.基于该设想的微波表面阻抗理论值能很好地吻合实验数据;进而,据此可估计出 YBa_2Cu_3O_(7-δ)的序参数值.如 H_c_1H_c_2,ξ,Δ(0),l.     

Charged vortex structure in high-temperature superconductors

By using a model Hamiltonian with competing antiferromagnetic (AFM) spin density wave (SDW) and d-wave superconductivity orders, the effect of next-nearest-neighbour (nnn) hopping on spin and charge structures in high-temperature superconductors is investigated at finite temperatures. For an optimally doped sample, we find that the AFM order magnitude in the vortex core is firstly enhanced and then suppressed, accompanied with a "positively→negatively→positively" charged vortex structure transition with increasing nnn hopping strength, which implies that the AFM order is unnecessarily bounded to an electron-rich vortex core. In addition, a charge ordering pattern with four negatively charged peaks localized in a small region is also found around the vortex core centre without net charge. Recent scanning-tunneling-microscopy experimental observations of the checkerboard structure are hopefully understood.     

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：     

混合波时间反演不对称性与超导二向色性

运用BDG近似,在引入相对论效应的基础上,运用微扰理论给出高温超导体中二向色性起源的一般提法。同时,在混合波一论框架下,对其中由于超导序参量时间反演不对称性引起的自发二向色性进行具体讨论,以获得对实验中解释不足的补充。