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We study the Ginzburg-Landau energy of a superconductor with a variable magnetic field and a pinning term in a bounded smooth two dimensional domain $\Omega$. Supposing that the Ginzburg-Landau parameter and the intensity of the magnetic…

Analysis of PDEs · Mathematics 2015-03-24 Kamel Attar

Unconventional superconductivity with spin-triplet Cooper pairing is reviewed on the basis of the quasi-phenomenological Ginzburg-Landau theory. The superconductivity, in particular, the mixed phase of coexistence of ferromagnetism and…

Superconductivity · Physics 2007-05-23 Diana V. Shopova , Tsvetomir E. Tsvetkov , Dimo I. Uzunov

In several superconductors above the superconducting transition temperature Tc, the electrical resistivity is of the form {\rho} =AT^2. We show that there exists an empirical relation between Tc and A when both vary with an external…

Superconductivity · Physics 2011-09-06 Manuel Núñez-Regueiro , Gastón Garbarino , María Dolores Núñez-Regueiro

We discuss neutron $^{3}P_{2}$ phases in the core of neutron stars in strong magnetic field (magnetars). The neutron $^{3}P_{2}$ pairing provides a wide variety of condensates, such as the uniaxial nematic and (D$_{2}$ and D$_{4}$) biaxial…

Nuclear Theory · Physics 2020-01-08 Shigehiro Yasui , Chandrasekhar Chatterjee , Muneto Nitta

A Ginzburg-Landau free energy for a superconducting chiral p-wave order parameter is derived from a two-dimensional tight binding lattice model with weak spin-orbit coupling included as a general symmetry-breaking field. Superconductivity…

Superconductivity · Physics 2018-07-18 Fredrik Nicolai Krohg , Asle Sudbø

We present the results of precise correlated-electron calculations on the monomer lattices of the organic charge-transfer solids $\kappa$-(BEDT-TTF)$_2$X for 32 and 64 molecular sites. Our calculations are for band parameters corresponding…

Strongly Correlated Electrons · Physics 2016-05-20 W. Wasanthi De Silva , N. Gomes , S. Mazumdar , R. T. Clay

I calculate the effect of interactions among superconducting quasiparticles in two-dimensional(2D) a superconductor at T=0. The strength of the effective interaction among the quasiparticles is essentially given by the screened Coulomb…

Superconductivity · Physics 2009-10-30 D. Coffey

We develop Ginzburg-Landau approach to the problem of superconducting pairing with large momentum under screened Coulomb repulsion (eta_K-pairing). Two-component order parameter arising in this scheme can be associated with charge and…

Superconductivity · Physics 2007-05-23 V. I. Belyavsky , Yu. V. Kopaev

The experimental critical temperature of systems of nanoparticles superconducting (Pb) and normal (Ag, Cu and Al) with a random distribution and sizes less than their respective coherence lengths, is governed by proximity effect as the…

Superconductivity · Physics 2023-05-15 G. A. Ummarino

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

Ginzburg-Landau expansion is derived for superconductors with the gap-function odd over $k-k_{F}$. It is shown that in this odd-gap case Ginzburg-Landau coefficients possess an additional dependence on the pairing coupling constant which…

Condensed Matter · Physics 2007-05-23 E. Z. Kuchinskii , A. I. Posazhennikova , M. V. Sadovskii

The phase diagram of superconducting UPt$_3$ is explained in a Ginzburg-Landau theory starting from the hypothesis that the order parameter is a pseudo-spin singlet which transforms according to the $E_{1g}$ representation of the $D_{6h}$…

Condensed Matter · Physics 2009-10-28 K. A. Park , Robert Joynt

In the paper, the thermodynamic parameters of the high-pressure superconducting state in the SiH$_4$ compound have been determined ($p=250$ GPa). By using the Eliashberg equations in the mixed representation, the critical temperature, the…

Superconductivity · Physics 2015-06-15 R. Szczesniak , A. P. Durajski

We present in analytic form the matching conditions for the strong-coupling constant alpha_s^(n_f)(mu) at the flavor thresholds to four loops in the modified minimal-subtraction scheme. Taking into account the present knowledge on the…

High Energy Physics - Phenomenology · Physics 2009-11-11 B. A. Kniehl , A. V. Kotikov , A. I. Onishchenko , O. L. Veretin

It is widely perceived that the correlation effect may play an important role in several unconventional superconducting families, such as cuprate, iron-based and heavy-fermion superconductors. The application of high pressure can tune the…

Superconductivity · Physics 2019-02-15 Enyu Wang , Jing Si , Xiyu Zhu , Guan-Yu Chen , Hai Lin , Hai-Hu Wen

We study the evolution from the weak coupling (BCS-like limit) to the strong coupling limit of tightly bound local pairs (LP's) with increasing attraction, in the presence of the Zeeman magnetic field ($h$) for $d=2$, within the…

Strongly Correlated Electrons · Physics 2015-06-17 Agnieszka Kujawa-Cichy , Roman Micnas

The post Gaussian effective potential in D=3 dimensions and the Gaussian effective potential in D=2+epsilon are evaluated for the Ginzburg-Landau theory of superconductivity. It is shown that, the next order correction to the Gaussian…

Superconductivity · Physics 2009-11-10 Chul Koo Kim , A. Rakhimov , Jae Hyung Yee

It is demonstrated that the slope of the upper critical field $|dH_{c2}/dT|_{T_{c}}$ in superconductors with $d$-wave pairing drops rather fast with concentration of normal impurities, while in superconductors with anisotropic $s$-wave…

Condensed Matter · Physics 2009-10-28 A. I. Posazhennikova , M. V. Sadovskii

Liquid 3He at low temperatures is an ideal substance to study because of its natural purity. The superfluid state, which appears at temperatures below 3 mK, has many unusual and exciting properties. These have extensively been studied…

Condensed Matter · Physics 2007-05-23 E. V. Thuneberg

Surface superconductivity is studied within Ginzburg-Landau theory for two classes of models for the order parameter of UPt$_{3}$. The first class assumes two independent one-dimensional order parameters ($AB$ models), while the second…

Condensed Matter · Physics 2009-10-28 Ding Chuan Chen , Anupam Garg