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In the low energy limit, the two-dimensional massless $\mathcal{N}=2$ Wess--Zumino (WZ) model with a quasi-homogeneous superpotential is believed to become a superconformal field theory. This conjecture of the Landau--Ginzburg (LG)…

High Energy Physics - Lattice · Physics 2018-12-26 Okuto Morikawa

We study a boundary value problem associated with a system of two second order differential equations with cubic nonlinearity which model a film of superconductor material subjected to a tangential magnetic field. We show that for an…

Superconductivity · Physics 2007-05-23 S. P. Hastings , W. C. Troy

It has long been speculated that quasi-two-dimensional superconductivity can reappear above its semiclassical upper critical field due to Landau quantization, yet this reentrant property has never been observed. Here, we argue that twisted…

Superconductivity · Physics 2021-09-27 Gaurav Chaudhary , A. H. MacDonald , M. R. Norman

The ground state of two-dimensional electron systems (2DESs) at low Landau level filling factors ($\nu\lesssim1/6$) has long been a topic of interest and controversy in condensed matter. Following the recent breakthrough in the quality of…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Yoon Jang Chung , D. Graf , L. W. Engel , K. A. Villegas Rosales , P. T. Madathil , K. W. Baldwin , K. W. West , L. N. Pfeiffer , M. Shayegan

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 show that the QCD vacuum (without dynamical quarks) is a dual superconductor at least in the low-energy region in the sense that monopole condensation does really occur. In fact, we derive the dual Ginzburg-Landau theory (i.e., dual…

High Energy Physics - Theory · Physics 2007-05-23 Kei-Ichi Kondo

Isothermal magnetization curves are plotted as the magnetization times the magnetic induction, $4 \pi M \cdot B$, versus the applied field, H. We show here that this new curve is the average kinetic energy of the superconducting state…

Superconductivity · Physics 2009-11-07 Mauro M. Doria , S. Salem-Sugui , I. G. de Oliveira , L. Ghivelder , E. H. Brandt

The high-density electron gas in a strong magnetic field B and at zero temperature is investigated. The quantum strong-field limit is considered in which only the lowest Landau level is occupied. It is shown that the perturbation series of…

Condensed Matter · Physics 2007-05-23 M. Steinberg , J. Ortner

We discuss the rough surface effects on a two-dimensional chiral $k_x+ik_y$ superconductor. The atomic scale roughness at the surface is considered using the random $S$ matrix model. The roughness effects on the self-consistent order…

Superconductivity · Physics 2015-05-30 Y. Nagato , S. Higashitani , K. Nagai

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

The Meissner effect for superconductors in spacetimes with torsion is revisited.Two new physical interpretaions are presented.The first considers the Landau-Ginzburg theory yields a new symmetry-breaking vacuum depending on torsion.In the…

Condensed Matter · Physics 2007-05-23 L. C. Garcia de Andrade

We show that the ground state energy is bounded from below when there are infinitely many attractive delta function potentials placed in arbitrary locations, while all being separated at least by a minimum distance, on two dimensional…

Mathematical Physics · Physics 2015-04-08 Burak Tevfik Kaynak , O. Teoman Turgut

The phase transition of the electroweak vacuum induced by a strong magnetic field is examined, and a connection is made with the Ginzburg-Landau theory of type-II superconductivity. For solutions of the exact nonlinear field equations of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ola Tornkvist

A systematic treatment of the magnetic fluctuations effect on the properties of the normal-to-superconducting phase transition in a zero external magnetic field is given within the self-consistent approximation and the quasi-macroscopic…

Superconductivity · Physics 2007-05-23 D. V. Shopova , T. P. Todorov

We construct the supergravity duals of marginal deformations of a (0,2) Landau-Ginsburg theory that describes the supersymmetric lowest Landau level. These deformations preserve supersymmetry and it is proposed that they are associated with…

High Energy Physics - Theory · Physics 2014-12-03 Davron Mallayev , Justin F. Vazquez-Poritz , Zhibai Zhang

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 make a connection between quantum phase transitions in condensed matter systems, and supersymmetric gauge theories that are of interest in the particle physics literature. In particular, we point out interesting effects of the…

High Energy Physics - Theory · Physics 2011-06-08 Grigoris Panotopoulos

We present a microscopic theory for superconductivity in a magnetic field based on a local approximation approach. We derive an expression for free energy density $F$ as a function of temperature $T$ and vector potential {\bf a}, and two…

Superconductivity · Physics 2007-06-19 Zhidong Hao

We present a simple calculational scheme for superconducting properties under magnetic fields. A combination of an approximate analytic solution with a free energy functional in the quasiclassical theory provides a wide use formalism for…

Superconductivity · Physics 2009-11-10 Hiroaki Kusunose

The effect of strong magnetic fields parallel to GaAs/AlGaAs interface on the subband structure of a 2D electron layer is ivestigated theoretically. The system with two levels occupied in zero magnetic field is considered and the magnetic…

Condensed Matter · Physics 2009-10-22 T. Jungwirth , L. Smrcka