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In this study, we present theoretical investigations of phase transitions and critical phenomena in materials through the lens of second-order Ginzburg-Landau theory, in conjunction with considerations of symmetry groups and thermal…

We study the quantum and thermal phase transition phenomena of the SU(3) Heisenberg model on triangular lattice in the presence of magnetic fields. Performing a scaling analysis on large-size cluster mean-field calculations endowed with a…

Strongly Correlated Electrons · Physics 2020-08-18 Daisuke Yamamoto , Chihiro Suzuki , Giacomo Marmorini , Sho Okazaki , Nobuo Furukawa

These lectures provide a pedagogical introduction to the theory of continuous quantum phase transitions. Various two-dimensional condensed matter systems, such as a superconducting film, a quantum Hall liquid, and an array of Josephson…

Condensed Matter · Physics 2007-05-23 Adriaan M. J. Schakel

We investigate the phase transition in the three-dimensional abelian Higgs model for N complex scalar fields, using the gauge-invariant average action \Gamma_{k}. The dependence of \Gamma_{k} on the effective infra-red cut-off k is…

Condensed Matter · Physics 2015-06-25 B. Bergerhoff , D. Litim , S. Lola , C. Wetterich

At high magnetic field, the semiclassical approximation which underlies the Ginzburg-Landau (GL) theory of the mixed state of type II superconductors breaks down. In a quasi-1D superconductor (weakly coupled chains system) with an {\it open…

Condensed Matter · Physics 2009-10-22 N. Dupuis

The three-dimensional integer-valued lattice gauge theory, which is also known as a "frozen superconductor," can be obtained as a certain limit of the Ginzburg-Landau theory of superconductivity, and is believed to be in the same…

Superconductivity · Physics 2007-05-23 T. Neuhaus , A. Rajantie , K. Rummukainen

The time-dependent Ginzburg-Landau approach is used to calculate the complex fluctuation conductivity in layered type-II superconductor under magnetic field. Layered structure of the superconductor is accounted for by means of the…

Superconductivity · Physics 2014-03-21 B. D. Tinh , L. M. Thu , L. V. Hoa

In these lectures, superconductivity in impure thin films close to the absolute zero of temperature is discussed. The behavior as function of the applied magnetic field and the amount of impurities suggests the presence of a…

Condensed Matter · Physics 2007-05-23 Adriaan M. J. Schakel

In this paper, we introduce a Ginzburg-Landau (GL) theory for the extended-$s$ and d-wave superconductors (SC) in granular systems that is defined on a lattice. In contrast to the ordinary Abelian Higgs model (AHM) that is a GL theory for…

Superconductivity · Physics 2015-06-25 Tomoyoshi Ono , Ikuo Ichinose

We reexamine the effects of long-range Coulomb interaction on the onset of superconductivity. We use the model of N complex scalar fields with the Coulomb interaction studied first by Fisher and Grinstein (FG). We find that near d=3 space…

Superconductivity · Physics 2009-10-31 Jinwu Ye

We present an improved analysis of the phase transitions in rare earth superconductor using Ginzburg-Landau theory. Our work is based on the systematic study of critical field and superconducting order parameter in the presence of localized…

Materials Science · Physics 2021-01-19 Preeti Suman Dash , Salila Das , Prabir K. Mukherjee

The current understanding of the superconductor-insulator transition is discussed level by level in a cyclic spiral-like manner. At the first level, physical phenomena and processes are discussed which, while of no formal relevance to the…

Superconductivity · Physics 2010-04-22 V. F. Gantmakher , V. T. Dolgopolov

In this paper we propose a thermodynamically consistent model for superfluid-normal phase transition in liquid helium, accounting for variations of temperature and density. The phase transition is described by means of an order parameter,…

Mathematical Physics · Physics 2015-06-12 Alessia Berti , Valeria Berti

We construct a family of minimal phenomenological models for holographic superconductors in d=4+1 AdS spacetime and study the effect of scalar and gauge field fluctuations. By making a Ginzburg-Landau interpretation of the dual field…

High Energy Physics - Theory · Physics 2015-04-03 Aldo Dector

In this Letter, the dynamic phase transitions of the time-dependent Ginzburg-Landau equations are analyzed using a newly developed dynamic transition theory and a new classification scheme of dynamics phase transitions. First, we…

Superconductivity · Physics 2007-10-30 Tian Ma , Shouhong Wang

In the context of the Ginzburg--Landau theory for critical phenomena, we consider the Euclidean $\lambda \phi ^4+\eta \phi^6$ model bounded by two parallel planes, a distance $L$ separating them. This is supposed to describe a sample of a…

Superconductivity · Physics 2009-11-11 C. A. Linhares , A. P. C. Malbouisson , Y. W. Milla , I. Roditi

The influence of a magnetic field on superconductivity is usually described either phenomenologically, using Ginzburg-Landau theory, or semiclassically using Gor'kov theory. In this article we discuss the influence of magnetic fields on the…

Condensed Matter · Physics 2015-06-25 A. H. MacDonald , Hiroshi Akera , M. R. Norman

We numerically study the superconductor-insulator phase transition in a model disordered 2D superconductor as a function of applied magnetic field. The calculation involves quantum Monte Carlo calculations of the (2+1)D XY model in the…

Superconductivity · Physics 2009-11-13 Kwangmoo Kim , David Stroud

The new approach to the microscopic description of the phase transitions starting from the only first principles was developed on an example of the transition normal metal-superconductor. This means mathematically, that the free energy is…

Statistical Mechanics · Physics 2011-09-19 K. V. Grigorishin , B. I. Lev

On the basis of a recent field theory for site-disordered spin glasses a Ginzburg-Landau free energy is proposed to describe the low temperatures glassy phase(s) of site-disordered magnets. The prefactors of the cubic and dominant quartic…

Disordered Systems and Neural Networks · Physics 2016-08-31 Th. M. Nieuwenhuizen , C. N. A. van Duin