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Quantum interference phenomena in the conductivity of mesoscopic ferromagnets are considered, particularly with regard to the effects of geometric phases acquired by electrons propagating through regions of spatially varying magnetization…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yuli Lyanda-Geller , I. L. Aleiner , Paul M. Goldbart

Recent measurements have shown oscillations in the upper critical field of simply connected mesoscopic superconductors. A quantitative theory of these effects is given here on the basis of a Ginzburg-Landau description. For small fields,…

Superconductivity · Physics 2009-10-28 Robert Benoist , Wilhelm Zwerger

The vortex states in a thin mesoscopic disk are investigated within the phenomenological Ginzburg-Landau theory in the presence of a step-like external magnetic field with zero average which could model the field resulting from a…

Superconductivity · Physics 2009-11-07 M. V. Milosevic , S. V. Yampolskii , F. M. Peeters

Thermodynamic and transport properties of mesoscopic conductors are strongly influenced by the proximity of a superconductor: An interplay between the large scale quantum coherent wave functions in the normal mesoscopic and the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Altland , B. D. Simons , D. Taras-Semchuk

This is a model study for the emergence of superconductivity in ferromagnetically ordered phases of cubic materials whose crystal structure lacks inversion symmetry. A Ginzburg-Landau-type theory is used to find the ferromagnetic state and…

Superconductivity · Physics 2011-10-20 Titus Neupert , Manfred Sigrist

An experimental and theoretical investigation was made of flux jumps and irreversible magnetization curves of mesoscopic Al superconducting rings. In the small magnetic field region the change of vorticity with magnetic field can be larger…

Superconductivity · Physics 2009-11-07 D. Y. Vodolazov , F. M. Peeters , S. V. Dubonos , A. K. Geim

Recent precision measurements of mesoscopic persistent currents in normal-metal rings rely on the interaction between the magnetic moment generated by the current and a large applied magnetic field. Motivated by this technique, we extend…

The nonlinear Ginzburg-Landau equations are solved numerically in order to investigate the vortex structure in thin superconducting disks of arbitrary shape. Depending on the size of the system and the strength of the applied magnetic field…

Superconductivity · Physics 2007-05-23 F. M. Peeters , B. J. Baelus

We study the surface barrier for magnetic field penetration in mesoscopic samples of both type I and type II superconductors. Our results are obtained from numerical simulations of the time-dependent Ginzburg-Landau equations. We calculate…

Superconductivity · Physics 2012-02-15 Alexander D. Hernandez , Daniel Dominguez

We consider the Ginzburg-Landau functional, defined on a two-dimensional simply connected domain with smooth boundary, in the situation when the applied magnetic field is piecewise constant with a jump discontinuity along a smooth curve. In…

Analysis of PDEs · Mathematics 2017-09-29 Wafaa Assaad , Ayman Kachmar , Mikael Persson-Sundqvist

A simple variational model is proposed to analyze the superconducting state in long cylindrical type-II superconductor placed in the external magnetic field. In the framework of this model, it is possible to solve the Ginzburg-Landau…

Superconductivity · Physics 2009-10-31 W. V. Pogosov , A. L. Rakhmanov , E. A. Shapoval

We study the current flow through semiconductor quantum rings. In high magnetic field the current is usually injected to the arm of the ring preferred by classical magnetic forces. However, for narrow magnetic field intervals that appear…

Mesoscale and Nanoscale Physics · Physics 2010-11-09 M. R. Poniedziałek , B. Szafran

Solutions of Ginzburg-Landau eqns. coupled with three dimensional Maxwell eqns. reveal intriguing magnetic response of small superconducting particles, qualitatively different from the two dimensional approximation but in agreement with…

Superconductivity · Physics 2008-02-03 P. Singha Deo , V. A. Schweigert , F. M. Peeters , A. K. Geim

The normal/superconducting phase boundary Tc has been calculated for mesoscopic loops, as a function of an applied perpendicular magnetic field H. While for thin-wire loops and filled disks the Tc(H) curves are well known, the intermediate…

Superconductivity · Physics 2009-10-31 V. Bruyndoncx , L. Van Look , V. V. Moshchalkov

We study theoretically the superconductor diodes, where the magnitude of the critical current changes as the direction is reversed, in terms of a generalized Ginzburg-Landau model with the higher-order terms in the momentum of the order…

Superconductivity · Physics 2024-01-17 James Jun He , Yukio Tanaka , Naoto Nagaosa

A quantum interference mechanism of the stripe phase instability in quasi one-dimensional (1D) repulsive electron system is proposed. The leading spin-charge coupling term in Landau functional is derived microscopically. It is shown that…

Condensed Matter · Physics 2007-05-23 Sergei I. Mukhin

The dynamical phase transition of a system with two coexisting competing order parameters is studied using the time-dependent-Ginzburg-Landau framework. The dynamics are induced by parameters capturing the physics of driving the system with…

Strongly Correlated Electrons · Physics 2025-08-19 Yasamin Masoumi Sefidkhani , Alberto de la Torre , Gregory A. Fiete

We study the distribution of bulk superconductivity in presence of an applied magnetic field, supposed to be a step function, modeled by the Ginzburg-Landau theory. Our results are valid for the minimizers of the two-dimensional…

Analysis of PDEs · Mathematics 2015-11-30 Wafaa Assaad , Ayman Kachmar

Applying the time-dependent Ginzburg-Landau equations, transitions between metastable states of a superconducting ring are investigated in the presence of an external magnetic field. It is shown that if the ring exhibits several metastable…

Superconductivity · Physics 2009-11-07 D. Y. Vodolazov , F. M. Peeters

Quantum interference effects in rings provide suitable means to control spins at the mesoscopic scale. In this chapter we present the theory underlying spin-induced modulations of unpolarized currents in quantum rings subject to the Rashba…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Carmine Ortix