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We show on a few examples of one-band materials with spheroidal Fermi surfaces and anisotropic order parameters that anisotropies $\gamma_H$ of the upper critical field and $\gamma_\lambda$ of the London penetration depth depend on…

Superconductivity · Physics 2020-06-09 V. G. Kogan , R. Prozorov , A. E. Koshelev

It is shown within the weak-coupling model that the macroscopic superconducting anisotropy for materials with the gap varying on the Fermi surface cannot be characterized by a single number, unlike the case of clean materials with isotropic…

Superconductivity · Physics 2009-11-07 V. G. Kogan

The upper critical field Hc2 is evaluated for weakly-coupled two-band superconductors. By modeling the actual bands and the gap distribution of MgB2 by two Fermi surface spheroids with average parameters of the real material, we show that…

Superconductivity · Physics 2009-11-07 P. Miranovic , K. Machida , V. G. Kogan

The Helfand-Werthamer (HW) scheme\cite{HW} of evaluating the orbital upper critical field is generalized to anisotropic superconductors in general, and to two-band clean materials, in particular. Our formal procedure differs from those in…

Superconductivity · Physics 2012-07-19 V. G. Kogan , R. Prozorov

We study the effects of anisotropic order parameters on the temperature dependence of London penetration depth anisotropy $\gamma_\lambda(T)$. After MgB$_2$, this dependence is commonly attributed to distinct gaps on multi-band Fermi…

Superconductivity · Physics 2022-01-10 V. G. Kogan , R. Prozorov

Recent measurements of the anisotropy of the upper critical field Bc2 on MgB2 single crystals have shown a puzzling strong temperature dependence. Here, we present a calculation of the upper critical field based on a detailed modeling of…

Superconductivity · Physics 2009-11-07 T. Dahm , N. Schopohl

The upper critical field Hc2||c(0) of 85 kOe in Mg(B0.94C0.06)2 single crystals, determined from torque measurements, is more than twice as large as that one of 31 kOe in unsubstituted MgB2. Anisotropy of Hc2 increases from about 3.4 near…

Superconductivity · Physics 2007-05-23 R. Puzniak , M. Angst , A. Szewczyk , J. Jun , S. M. Kazakov , J. Karpinski

Data on macroscopic superconducting anisotropy of MgB$_2$ are reviewed. The data are described within a weak coupling two-gaps anisotropic s-wave model of superconductivity. The calculated ratio of the upper critical fields…

Superconductivity · Physics 2009-11-07 V. G. Kogan , S. L. Bud'ko

The radio frequency penetration depth was measured in the superconductor (Ba$_{0.55}$K$_{0.45}$)Fe$_{2}$As$_{2}$ under pulsed magnetic fields extending to 60 tesla and down to 14 K. Using these data we are able to infer a $H_{c2}(T)$, $H-T$…

Superconductivity · Physics 2009-11-13 M. Altarawneh , K. Collar , C. H. Mielke , N. Ni , S. L. Bud'ko , P. C. Canfield

The classical criterion for classification of superconductors as type-I or type-II based on the isotropic Ginzburg-Landau theory is generalized to arbitrary temperatures for materials with anisotropic Fermi surfaces and order parameters. We…

Superconductivity · Physics 2014-11-10 V. G. Kogan , R. Prozorov

Studying the upper critical field ($\mu_0$$H$$_{\rm{c2}}$) and its anisotropy of superconductors is of great importance because it can provide an unusual insight into the pair-breaking mechanism. Since Fe$_{1+y}$Te$_{1-x}$Se$_x$ exhibits…

We study the problem of the upper critical field ($H_{c2}$) for tight-binding electrons in a two-dimensional lattice. The external magnetic field is introduced into the model Hamiltonian both via the Peierls substitution and the Zeeman…

Superconductivity · Physics 2009-10-31 Maciej M. Maska , Marcin Mierzejewski

The upper critical field $\mu_0H_{c2}(T_c)$ of LiFeAs single crystals has been determined by measuring the electrical resistivity using the facilities of pulsed magnetic field at Los Alamos. We found that $\mu_0H_{c2}(T_c)$ of LiFeAs shows…

Superconductivity · Physics 2011-05-17 J. L. Zhang , L. Jiao , F. F. Balakirev , X. C. Wang , C. Q. Jin , H. Q. Yuan

We study the effects of anisotropic hopping amplitudes on quantum phases of ultracold fermions in optical lattices described by the repulsive Fermi-Hubbard model. In particular, using dynamical mean-field theory (DMFT) we investigate the…

Quantum Gases · Physics 2015-11-03 Anna Golubeva , Andrii Sotnikov , Walter Hofstetter

The newly discovered iron-based superconductors have stimulated enormous interests in the field of superconductivity. Since the new superconductor is a layered system, the anisotropy is a parameter with the first priority to know. Meanwhile…

Superconductivity · Physics 2008-07-24 Ying Jia , Peng Cheng , Lei Fang , Huiqian Luo , Huan Yang , Cong Ren , Lei Shan , Changzhi Gu , Hai-Hu Wen

The temperature dependence of the upper critical field, Hc2, for both field directions in partially substituted polycrystalline MgB2 was determined. Whereas the suppression of Tc is similar for aluminum and carbon substituted samples, Hc2…

Superconductivity · Physics 2008-11-28 M. Angst , S. L. Bud'ko , R. H. T. Wilke , P. C. Canfield

We studied the anisotropy of the superconducting upper critical field $H_{\rm c2}$ in the heavy-fermion superconductor UTe$_2$ under hydrostatic pressure by magnetoresistivity measurements. In agreement with previous experiments we confirm…

A brief review of works on the microscopic theory of determining the upper critical field in two-band isotropic and anisotropic superconductors is given. The research is based on a set of the Ginzburg-Landau equations for the order…

Superconductivity · Physics 2010-08-31 M. E Palistrant

Detailed Fermi-surface structures are essential to describe the upper critical field $H_{c2}$ in type-II superconductors, as first noticed by Hohenberg and Werthamer [Phys. Rev. {\bf 153}, 493 (1967)] and shown explicitly by Butler for…

Superconductivity · Physics 2009-11-10 Takafumi Kita , Masao Arai

The magnetic penetration depth anisotropy $\gamma_\lambda=\lambda_{c}/\lambda_{ab}$ ($\lambda_{ab}$ and $\lambda_{c}$ are the in-plane and the out-of-plane components of the magnetic penetration depth) in a CaKFe$_4$As$_4$ single crystal…

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