Time-dependent Ginzburg-Landau simulations of vortex guidance by twin boundaries

Crabtree, G. W.; Leaf, Gary K.; Kaper, Hans G.; Vinokur, V. M.; Koshelev, A. E.; Braun, Daniel; Levine, David; Kwok, W. K.; Fendrich, J. A.

doi:10.1016/0921-4534(96)00078-0

Cited by 34 publications

(16 citation statements)

References 18 publications

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“…In Y123, a substantial vortex creep is observed after switching on the magnetic field, with flux lines continuously moving for a couple of days. The influence of twin boundaries on pinning in Y123 single crystals has stimulated various debates and investigations ͑Gammel et Vlasko-Vlasov et al, 1994;Welp et al, 1994;Crabtree et al, 1996;Herbsommer et al, 2000͒. STS measurements demonstrate that the twin boundaries act as very efficient barriers, blocking the movements of flux lines perpendicular to the twin plane.…”

Section: A Y123mentioning

confidence: 99%

Scanning tunneling spectroscopy of high-temperature superconductors

et al. 2007

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Tunneling spectroscopy has played a central role in the experimental verification of the microscopic theory of superconductivity in classical superconductors. Initial attempts to apply the same approach to high-temperature superconductors were hampered by various problems related to the complexity of these materials. The use of scanning tunneling microscopy and spectroscopy ͑STM and STS͒ on these compounds allowed the main difficulties to be overcome. This success motivated a rapidly growing scientific community to apply this technique to high-temperature superconductors. This paper reviews the experimental highlights obtained over the last decade. The crucial efforts to gain control over the technique and to obtain reproducible results are first recalled. Then a discussion on how the STM and STS techniques have contributed to the study of some of the most unusual and remarkable properties of high-temperature superconductors is presented: the unusually large gap values and the absence of scaling with the critical temperature, the pseudogap and its relation to superconductivity, the unprecedented small size of the vortex cores and its influence on vortex matter, the unexpected electronic properties of the vortex cores, and the combination of atomic resolution and spectroscopy leading to the observation of periodic local density of states modulations in the superconducting and pseudogap states and in the vortex cores.

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Section: A Y123mentioning

confidence: 99%

Scanning tunneling spectroscopy of high-temperature superconductors

et al. 2007

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“…Recent simulations using the time-dependent Ginzburg-Landau equations at T = 0 of vortices interacting with twin boundaries have suggested the possibility of the existence of three distinct flow phases which include two plastic flow phases and an elastic flow phase [18]. Due to the nature of these simulations it was only possible to consider three different driving currents for each pinning parameter; so that V (I) curves, voltage noise signals, and the evolution of the vortex order as a continuous function of increasing driving force could not be extracted, nor could the evolution of the flow phases with the system parameters be determined.…”

Section: Introductionmentioning

confidence: 99%

Dynamic vortex phases and pinning in superconductors with twin boundaries

2000

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We investigate the pinning and driven dynamics of vortices interacting with twin boundaries using large scale molecular dynamics simulations on samples with near one million pinning sites. For low applied driving forces, the vortex lattice orients itself parallel to the twin boundary and we observe the creation of a flux gradient and vortex free region near the edges of the twin boundary. For increasing drive, we find evidence for several distinct dynamical flow phases which we characterize by the density of defects in the vortex lattice, the microscopic vortex flow patterns, and orientation of the vortex lattice.We show that these different dynamical phases can be directly related to microscopically measurable voltage-current V (I) curves and voltage noise. By conducting a series of simulations for various twin boundary parameters we derive several vortex dynamic phase diagrams.

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“…It is also important to understand the transient and dynamic behavior of superconductors as required, for example, by the experiments described in [15] and [16]. It remains to be seen how successfully our method might be extended to the time-dependent equations.…”

Section: Resultsmentioning

confidence: 99%

Minimization of the Ginzburg–Landau energy functional by a Sobolev gradient trust-region method

Kazemi

Renka

2013

Applied Mathematics and Computation

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We describe a generalized Levenberg-Marquardt method for computing critical points of the Ginzburg-Landau energy functional which models superconductivity. The algorithm is a blend of a Newton iteration with a Sobolev gradient descent method, and is equivalent to a trust-region method in which the trustregion radius is defined by a Sobolev metric. Numerical test results demonstrate the method to be remarkably effective.

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Time-dependent Ginzburg-Landau simulations of vortex guidance by twin boundaries

Cited by 34 publications

References 18 publications

Scanning tunneling spectroscopy of high-temperature superconductors

Scanning tunneling spectroscopy of high-temperature superconductors

Dynamic vortex phases and pinning in superconductors with twin boundaries

Minimization of the Ginzburg–Landau energy functional by a Sobolev gradient trust-region method

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