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We study the phase diagram of the Hubbard model in the limit where U, the onsite repulsive interaction, is much smaller than the bandwidth. We present an asymptotically exact expression for T$_c$, the superconducting transition temperature,…

超导电性 · 物理学 2010-10-19 S. Raghu , S. A. Kivelson , D. J. Scalapino

We perform an analytical and numerical study of the crossover from the Josephson effect to the bulk superconducting flow for two identical one-dimensional superconductors, co-existing with a layer of normal material. A generalized…

超导电性 · 物理学 2025-10-20 Z. D. Genchev , T. L. Boyadjiev

The differential conductivity for the out-of-plane transport in layered cuprates is calculated for Lawrence-Doniach model in the framework of time-dependent Ginzburg-Landau (TDGL) theory. The TDGL equation for the superconducting order…

超导电性 · 物理学 2007-05-23 Todor M. Mishonov , Yana G. Maneva

We here propose and study theoretically a non-equilibrium mechanism for the superconducting diode effect, which applies specifically to the case where time-reversal-symmetry -- a prerequisite for the diode effect -- is spontaneously broken…

超导电性 · 物理学 2025-09-17 Sayan Banerjee , Mathias S. Scheurer

In several superconductors above the superconducting transition temperature Tc, the electrical resistivity is of the form {\rho} =AT^2. We show that there exists an empirical relation between Tc and A when both vary with an external…

This article is concerned with the integration of the time-dependent Ginzburg--Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to fully implicit, are presented and evaluated for stability,…

数值分析 · 数学 2025-10-20 D. O. Gunter , H. G. Kaper , G. K. Leaf

The response of mesoscopic superconductors to an ac magnetic field is numerically investigated on the basis of the time-dependent Ginzburg-Landau equations (TDGL). We study the dependence with frequency $\omega$ and dc magnetic field…

超导电性 · 物理学 2009-11-07 Alexander D. Hernandez , Daniel Dominguez

This study explores transitions between states with different winding number in two-band superconducting rings. From the time-dependent Ginzburg-Landau (TDGL) equations for two-component superconductors, we apply linear instability theory…

超导电性 · 物理学 2024-08-27 Leonardo R. Cadorim , Edson Sardella , Daniel Domínguez , Jorge Berger

This article is concerned with the integration of the time-dependent Ginzburg-Landau (TDGL) equations of superconductivity. Four algorithms, ranging from fully explicit to fully implicit, are presented and evaluated for stability, accuracy,…

数值分析 · 数学 2025-10-20 D. O. Gunter , H. G. Kaper , G. K. Leaf

We have numerically studied the dynamic correlation functions in thermodynamic equilibrium of two-dimensional O(2)-symmetry models with either bond (RSJ) or site (TDGL) dissipation as a function of temperature T. We find that above the…

超导电性 · 物理学 2016-08-15 P. H. E. Tiesinga , T. J. Hagenaars , J. E. van Himbergen , Jorge V. José

We discuss the excess conductivity at nonzero frequencies in a superconductor above T_c within the gaussian approximation. We focus the attention on the temperature range not too close to T_c: within a time-dependent Ginzburg-Landau…

超导电性 · 物理学 2009-11-07 Enrico Silva

We study elasticity of a perpendicular flux lattice in a layered superconductor with Josephson coupling between layers. We find that the energy contains ln(flux displacement) terms, so that elastic constants cannot be strictly defined.…

凝聚态物理 · 物理学 2009-10-31 T. Ruth Goldin , Baruch Horovitz

The results on the behavior of phase-slip centers in thin superconducting wires based on finite-element modeling and time-dependent Ginzburg-Landau (TDGL) equations are discussed. For closer relationship with experiments, we used finite-gap…

超导电性 · 物理学 2020-07-14 Iris Dorn , Armen Gulian

We study the Hall effect in square, planar type-II superconductors using numerical simulations of time dependent Ginzburg-Landau (TDGL) equations. The Hall field in some type-II superconductors displays sign-change behavior at some magnetic…

We propose a finite-difference algorithm for solving the time-dependent Ginzburg-Landau (TDGL) equation coupled to the appropriate Maxwell equation. The time derivatives are discretized using a second order semi-implicit scheme which, for…

超导电性 · 物理学 2009-11-07 T. Winiecki , C. S. Adams

The theory of current transport in a narrow superconducting channel accounting for thermal fluctuations is developed. These fluctuations result in the appearance of small but finite dissipation in the sample. The value of corresponding…

超导电性 · 物理学 2009-10-15 Yu. N. Ovchinnikov , A. A. Varlamov

We derive the extended Ginzburg-Landau (GL) formalism for a clean s-wave two-band superconductor by employing a systematic expansion of the free-energy functional and the corresponding matrix gap equation in powers of the small deviation…

超导电性 · 物理学 2015-06-05 A. V. Vagov , A. A. Shanenko , M. V. Milošević , V. M. Axt , F. M. Peeters

We analyze here the fluctuation conductivity in the vicinity of the critical point in a 2D Josephson junction array shunted by an Ohmic resistor.We find that at the Gaussian level, the conductivity acquires a logarithmic dependence on…

凝聚态物理 · 物理学 2009-10-31 Denis Dalidovich , Philip Phillips

We first apply functional-integral approach to a multiband Hubbard model near the critical pairing temperature, and derive a generic effective action that is quartic in the fluctuations of the pairing order parameter. Then we consider…

超导电性 · 物理学 2023-06-13 M. Iskin

The importance of simulating pinning arrays in superconducting samples for the increase of critical currents has been increasing in the last few years. Since the Time Dependent Ginzburg Landau (TDGL) can be more accurate than alternative…

超导电性 · 物理学 2026-04-06 E. R. Di Lascio