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We study the order parameter symmetry in a hexagonal crystal with co-existing superconductivity and ferromagnetism. An experimental example is provided by carbon-based materials, such as graphite-sulfur composites, in which an evidence of…

Superconductivity · Physics 2009-11-07 K. V. Samokhin

Superconducting materials with noncentrosymmetric lattices lacking space inversion symmetry exhibit a variety of interesting parity-breaking phenomena, including the magneto-electric effect, spin-polarized currents, helical states, and the…

Superconductivity · Physics 2020-11-30 Julien Garaud , Maxim N. Chernodub , Dmitri E. Kharzeev

In materials without spatial inversion symmetry the spin degeneracy of the conduction electrons can be lifted by an antisymmetric spin-orbit coupling. We discuss the influence of this spin-orbit coupling on the spin susceptibility of such…

Superconductivity · Physics 2009-11-10 P. A. Frigeri , D. F. Agterberg , M. Sigrist

Superconductivity owes its properties to the phase of the electron pair condensate that breaks the $U(1)$ symmetry. In the most traditional ground state, the phase is uniform and rigid. The normal state can be unstable towards special…

Superconductivity · Physics 2020-02-05 P. Holmvall , M. Fogelström , T. Löfwander , A. B. Vorontsov

We describe the superconducting proximity effect taking place in a contact between a noncentrosymmetric superconductor and a diffusive normal/ferromagnetic metal within the quasiclassical theory of superconductivity. By solving numerically…

Superconductivity · Physics 2012-11-26 Gaetano Annunziata , Dirk Manske , Jacob Linder

We study the two-dimensional Ginzburg-Landau functional in a domain with corners for exterior magnetic field strengths near the critical field where the transition from the superconducting to the normal state occurs. We discuss and clarify…

Analysis of PDEs · Mathematics 2009-11-13 V. Bonnaillie-Noël , S. Fournais

In noncentrosymmetric crystals, nonuniform superconducting states are possible even in the absence of any external magnetic field. The origin of these states can be traced to the Lifshitz invariants in the free energy, which are linear in…

Superconductivity · Physics 2009-11-13 V. P. Mineev , K. V. Samokhin

Low-dimensional materials with broken inversion symmetry and strong spin-orbit coupling can give rise to fascinating quantum phases and phase transitions. Here we report coexistence of superconductivity and ferromagnetism below 2.5\,K in…

The density functional theory for superconductors developed in the preceding article [cond-mat/0408685] is applied to the calculation of superconducting properties of several elemental metals. In particular, we present results for the…

When a magnetic field is applied to a ferromagnetic body it starts to spin (Einstein-de Haas effect). This demonstrates the intimate connection between the electron's magnetic moment $\mu_B=e\hbar/2m_ec$, associated with its spin angular…

Superconductivity · Physics 2018-11-12 J. E. Hirsch

Electrons in condensed matter may transition into a variety of broken-symmetry phase states due to electron-electron interactions. Applying diverse mean-field approximations to the interaction term is arguably the simplest way to identify…

Strongly Correlated Electrons · Physics 2024-06-17 Maxim Trushin , Liangtao Peng , Gargee Sharma , Giovanni Vignale , Shaffique Adam

We investigate unconventional superconductivity in three-dimensional electronic systems with the chemical potential close to a quadratic band touching point in the band dispersion. Short-range interactions can lead to d-wave…

Strongly Correlated Electrons · Physics 2018-02-06 Igor Boettcher , Igor F. Herbut

We show that Zeeman field can induce a topological transition in two-dimensional spin-orbit coupled metals, and concomitantly, a first-order phase transition in the superconducting state involving a discontinuous change of Cooper pair…

Superconductivity · Physics 2021-03-17 Noah F. Q. Yuan , Liang Fu

We study the interplay between superconductivity and altermagnetism in disordered systems using recently derived quantum kinetic transport equations. Starting from this framework, we derive the Ginzburg-Landau free energy and identify, in…

Superconductivity · Physics 2026-05-05 Rodrigo de las Heras , Tim Kokkeler , Stefan Ilić , Ilya V. Tokatly , F. Sebastian Bergeret

We study the superconducting state of multi-orbital spin-orbit coupled systems in the presence of an orbitally driven inversion asymmetry assuming that the inter-orbital attraction is the dominant pairing channel. Although the inversion…

Superconductivity · Physics 2018-06-06 Yuri Fukaya , Shun Tamura , Keiji Yada , Yukio Tanaka , Paola Gentile , Mario Cuoco

This paper serves as a primer on superconductivity, inviting students for further investigation. Although the theory of superconductivity is a many-body quantum theory, here we take a more didactic route based on thermodynamics and…

Superconductivity · Physics 2024-05-22 David Möckli , Murilo Kessler de Azambuja

Bilayer transition metal dichalcogenides (TMDs) belong to a class of materials with two unique features, the coupled spin-valley-layer degrees of freedom and the crystal structure that is globally centrosymmetric but locally…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Chao-Xing Liu

In non-magnetic bulk materials, inversion symmetry protects the spin degeneracy. If the bulk crystal structure lacks a centre of inversion, however, spin-orbit interactions lift the spin degeneracy, leading to a Rashba metal whose Fermi…

The theoretical description and the survey of physical properties of superconducting states in the uranium ferromagnetic materials are presented. On the basis of microscopic theory is shown that the coupling between the electrons in these…

Superconductivity · Physics 2017-05-24 V. P. Mineev

In the framework of Landau theory of phase transitions one is interested to describe all the possible low symmetry ``superconducting'' phases allowed for a given superconductor crystal and to determine the conditions under which this…

Mathematical Physics · Physics 2007-05-23 Vittorino Talamini