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We study the three dimensional Ginzburg-Landau model of superconductivity. Several `natural' definitions of the (third) critical field, $H_{C_3}$, governing the transition from the superconducting state to the normal state, are considered.…

Mathematical Physics · Physics 2007-05-23 S. Fournais , B. Helffer

The superconducting state of an infinitely long superconducting cylinder surrounded by a medium which enhances its superconductivity near the boundary is studied within the nonlinear Ginzburg-Landau theory. This enhancement can be due to…

Superconductivity · Physics 2009-11-07 B. J. Baelus , S. V. Yampolskii , F. M. Peeters , E. Montevecchi , J. O. Indekeu

Superconducting state in mesoscopic cylinder placed in the external magnetic field is analyzed at general de Gennes boundary condition for the order parameter. The lower and the surface critical fields of the cylinder are calculated at…

Superconductivity · Physics 2007-05-23 W. V. Pogosov , A. L. Rakhmanov , E. A. Shapoval

The study of critical phenomena and phase transitions is an important part of modern condensed matter physics. In this regard, the phenomenological Landau theory has been extraordinarily useful. Hereby we present an alternative theoretical…

Statistical Mechanics · Physics 2014-02-24 Yi Wang , Long-Qing Chen , Zi-Kui Liu

We describe here the properties expected of a higher (with emphasis on the order fourth) order phase transition. The order is identified in the sense first noted by Ehrenfest, namely in terms of the temperature dependence of the ordered…

Superconductivity · Physics 2009-11-07 P. Kumar

Theory of quasiparticle spectra and the de Haas-van Alphen (dHvA) oscillation in type-II superconductors are developed based on the Bogoliubov-de Gennes equations for vortex-lattice states. As the pair potential grows through the…

Superconductivity · Physics 2009-11-07 Kouji Yasui , Takafumi Kita

Thermal color superconducting phase transitions in three-flavor quark matter at high baryon density are investigated in the Ginzburg-Landau (GL) approach. We constructed the GL potential near the boundary with a normal phase by taking into…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. Iida , T. Matsuura , M. Tachibana , T. Hatsuda

We study the effects of thermal fluctuations of gluons and the diquark pairing field on the superconducting-to-normal state phase transition in a three-flavor color superconductor, using the Ginzburg-Landau free energy. At high baryon…

High Energy Physics - Phenomenology · Physics 2009-11-10 Taeko Matsuura , Kei Iida , Tetsuo Hatsuda , Gordon Baym

We examine the effect of classical magnetic fluctuations on the phase diagram of paramagneticallylimited two-dimensional superconductors under a Zeeman magnetic field. We derive the free energy expansion in powers of the superconducting…

Superconductivity · Physics 2015-03-13 Robert Beaird , Anton B. Vorontsov , Ilya Vekhter

We consider the phase transition in a model which consists of a Ginzburg-Landau free energy for superconductors including a Chern-Simons term. The mean field theory of Halperin, Lubensky and Ma [Phys. Rev. Lett. 32, 292 (1974)] is applied…

Superconductivity · Physics 2010-12-17 A. P. C. Malbouisson , F. S. Nogueira , N. F. Svaiter

A new description is proposed for the low-field critical behavior of type-II superconductors. The starting point is the Ginzburg-Landau theory in presence of an external magnetic field H. A set of fictitious vortex variables and a singular…

Condensed Matter · Physics 2009-10-28 Zlatko Tesanovic

It is beyond the present techniques based on perturbation theory to reveal the nature of phase transitions in strongly interacting field theories. Recently, the holographic approach has provided us with an effective dual description,…

High Energy Physics - Theory · Physics 2015-03-19 Ki-Seok Kim , Kyung Kiu Kim , Youngman Kim , Yumi Ko

Searching for characteristic signatures of a higher order phase transition (specifically of order three or four), we have calculated the spatial profiles and the energies of a spatially varying order parameter in one dimension. In the case…

Statistical Mechanics · Physics 2009-11-10 Abdel-Khalek Farid , Yonggang Yu , Avadh Saxena , Pradeep Kumar

Within the Ginzburg-Landau functional framework for the superconducting transition, we analyze the fluctuation-driven shift of the critical temperature. In addition to the order parameter fluctuations, we also take into account the…

Superconductivity · Physics 2020-06-11 Alberto Cappellaro , Luca Salasnich

The two-dimensional extended Hubbard model that includes a nearest- neighbor Heisenberg interaction is studied using a mean-field theory where quasiparticles are defined by an U(8) group of canonical transformations. The theory is a…

Condensed Matter · Physics 2009-10-22 A. B. Eriksson , T. Einarsson , S. Ostlund

We study the gauge field fluctuations in dense quark matter and determine the temperature of the induced first-order phase transition to the color-superconducting phase in weak coupling. We find that the local approximation of the coupling…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ioannis Giannakis , Defu Hou , Hai-cang Ren , Dirk H. Rischke

We present a short review of our studies of disorder influence upon Ginzburg - Landau expansion coefficients in Anderson - Hubbard model with attraction in the framework of the generalized DMFT+$\Sigma$ approximation. A wide range of…

Superconductivity · Physics 2021-07-02 N. A. Kuleeva , E. Z. Kuchinskii , M. V. Sadovskii

We investigate the influence of Landau Levels (LLs) and Zeeman energy, induced by an applied magnetic field ${\bf B}$, on the critical temperature $T_c$ for two-dimensional (2D) ultraclean metals using a fully quantum mechanical approach…

Superconductivity · Physics 2025-04-25 Aiying Zhao , Richard A Klemm , Qiang Gu

A quantum critical point is approached by applying pressure in a number of magnetic metals. The observed dependence of Tc on pressure necessarily means that the magnetic energy is coupled to the lattice. A first order phase transition…

Strongly Correlated Electrons · Physics 2009-11-13 G. A. Gehring

We derive a general quasiclassical approach for long-range magnetic-field quantization effects in superconductors. The method is applied to superclean d-wave superconductors in the mixed state. We study the delocalized states with energies…

Superconductivity · Physics 2009-10-31 N. B. Kopnin , V. M. Vinokur