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An external force dynamically drives an isolated mean-field Hamiltonian system to a long-lasting quasistationary state, whose lifetime increases with population of the system. For second order phase transitions in quasistationary states,…

Statistical Mechanics · Physics 2015-09-11 Shun Ogawa , Yoshiyuki Y. Yamaguchi

Within the Ginzburg-Landau approach a theoretical study is performed of the effects of confinement on the transition to superconductivity for type-I and type-II materials with surface enhancement. The superconducting order parameter is…

Superconductivity · Physics 2009-10-31 E. Montevecchi , J. O. Indekeu

We study the 2D full Ginzburg-Landau energy with a periodic rapidly oscillating, discontinuous and [strongly] diluted pinning term using a perturbative argument. This energy models the state of an heterogeneous type II supercon-ductor…

Analysis of PDEs · Mathematics 2019-04-05 Mickaël Dos Santos

We use the Kubo-Landauer formalism to compute the longitudinal (two-terminal) conductance of a two dimensional electron system placed in a strong perpendicular magnetic field, and subjected to periodic modulations and/or disorder…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Chenggang Zhou , Mona Berciu

In the asymptotic limit of a large Ginzburg-Landau parameter, we give a new asymptotic formula for the $L^2$-norm of the Ginzburg-Landau order parameter. The formula is valid in the bulk regime where the intensity of the applied magnetic…

Analysis of PDEs · Mathematics 2018-11-13 Bernard Helffer , Ayman Kachmar

We derive critical field H_c2 equations for antiferromagnetic \textit{s}-wave, d_{x^2-y^2}-wave, and d_{xy}-wave superconductors with effective mass anisotropy in three dimensions, where we take into account (i) the Jaccarino-Peter…

Superconductivity · Physics 2007-05-23 Yuuichi Suginishi , Hiroshi Shimahara

In this paper we consider the asymptotic behavior of the Ginzburg- Landau model for superconductivity in 3-d, in various energy regimes. We rigorously derive, through an analysis via {\Gamma}-convergence, a reduced model for the vortex…

Mathematical Physics · Physics 2015-05-27 Sisto Baldo , Robert L. Jerrard , Giandomenico Orlandi , Mete Soner

The two-channel Anderson lattice model which has $SU(2)\otimes SU(2)$ symmetry is of relevance to understanding of the magnetic, quadrupolar and superconducting phases in U$_{1-x}$Th$_x$Be$_{13}$ or Pr base skutterudite compounds such as…

Superconductivity · Physics 2007-05-23 Frithjof B Anders

The effect of a unidirectional periodic potential on the orientation of the stripe state is studied for the two-dimensional electron system at half-filled high Landau levels. By considering a quantum well with two electric subbands, it is…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Shi-Jie Yang , Yue Yu

Employing the low-energy effective theory alongside a combination of analytical and numerical techniques, we explore the Landau level collapse phenomenon, uncovering previously undisclosed features. We consider both finite-width graphene…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

We consider magnetic oscillations due to Landau quantization in the mixed state of type-II superconductors. Our work is based on a previously developed formalism which allows the mean-field gap equations of the Abrikosov state to be…

Condensed Matter · Physics 2009-10-22 M. R. Norman , A. H. MacDonald , H. Akera

We calculate the quasiparticle contribution to the zero temperature Hall conductance of two-dimensional extreme type-II superconductors in a high magnetic field, using the Landau basis. As one enters the superconducting phase the Hall…

Superconductivity · Physics 2009-10-31 P. D. Sacramento

We study the excess conductance due to the superconducting proximity effect in a ballistic two-dimensional electron system subject to an in-plane magnetic field. We show that under certain conditions the interplay of the Zeeman spin…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Grygoriy Tkachov , Klaus Richter

We use the Ginzburg-Landau theory near the transition temperature in order to examine the behavior of an inhomogeneous superconductor in the presence of a magnetic field. We find that a transition from type I to type II superconductivity…

Superconductivity · Physics 2009-11-11 Ioannis Giannakis , Defu Hou , Mei Huang , Hai-cang Ren

Motivated by the recently discovered high $T_c$ nickelate superconductor $\mathrm{La_3Ni_2O_7}$, we investigate superconductivity in a two dimensional Hubbard model on square lattice that consists of two layers of hybridizing $d_{x^2-y^2}$…

Strongly Correlated Electrons · Physics 2025-01-10 Yao-Yuan Zheng , Wéi Wú

Full or empty narrow bands near the Fermi level are known to enhance superconductivity by promoting scattering processes and spin fluctuations. Here, we demonstrate that doublon-holon fluctuations in systems with half-filled narrow bands…

Superconductivity · Physics 2022-11-30 Changming Yue , Hideo Aoki , Philipp Werner

We consider theoretically a superconducting qubit - nanomechanical resonator (NR) system, which was realized by LaHaye et al. [Nature 459, 960 (2009)]. First, we study the problem where the state of the strongly driven qubit is probed…

Mesoscale and Nanoscale Physics · Physics 2012-03-06 S. N. Shevchenko , S. Ashhab , Franco Nori

Several field theoretical approaches to the superconducting phase transition are discussed. Emphasis is given to theories of scaling and renormalization group in the context of the Ginzburg-Landau theory and its variants. Also discussed is…

Superconductivity · Physics 2016-11-23 Flavio S. Nogueira , Hagen Kleinert

The motion of Abrikosov vortices in type-II superconductors results in a finite resistance in the presence of an applied electric current. Elimination or reduction of the resistance via immobilization of vortices is the "holy grail" of…

The structure of the joint phase diagram demonstrating high-$T_c$ superconductivity of copper oxides is studied on the basis of the theory of interaction-induced flat bands. Prerequisites of an associated topological rearrangement of the…

Strongly Correlated Electrons · Physics 2018-10-17 V. A. Khodel , J. W. Clark , M. V. Zverev