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Most superconducting materials have an inversion center in their crystal lattices. One of few exceptions is the recently discovered heavy-fermion superconductor CePt3Si [E. Bauer et al, Phys. Rev. Lett. 92, 027003 (2004)]. In this paper, we…

Superconductivity · Physics 2009-11-10 K. V. Samokhin , E. S. Zijlstra , S. K. Bose

This Chapter gives a brief introduction to some basic aspects metals and superconductors in crystal without inversion symmetry. In a first part we analyze some normal state properties which arise through antisymmetric spin-orbit coupling…

Superconductivity · Physics 2009-05-28 V. P. Mineev , M. Sigrist

We propose a mechanism which can generate supercurrents in spin-orbit coupled superconductors with charged magnetic inclusions. The basic idea is that through spin-orbit interaction, the in-plane electric field near the edge of each…

Superconductivity · Physics 2025-06-23 Benjamin A. Levitan , Yuval Oreg , Erez Berg

The magnetic coupling between two concentric mesoscopic superconductors with non-zero thickness is studied using the nonlinear Ginzburg-Landau theory. We calculated the free energy, the expelled field, the total field profile, the…

Superconductivity · Physics 2007-05-23 B. J. Baelus , S. V. Yampolskii , F. M. Peeters

The interplay between magnetism and superconductivity is one of the central topics of condensed matter physics, which has recently been put into new light by the discovery of altermagnets. Here, we study this interplay from a fundamental…

Superconductivity · Physics 2025-07-16 Kirill Parshukov , Andreas P. Schnyder

We employ a systematic approach to construct superconducting order parameters based on the spin space group. Compared to magnetic space groups where spatial and spin rotation of elements are completely locked, the superconducting channels…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Xilin Feng , Zhongyi Zhang

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

In materials without an inversion center of symmetry the spin degeneracy of the conducting band is lifted by an antisymmetric spin orbit coupling (ASOC). Under such circumstances, spin and parity cannot be separately used to classify the…

Superconductivity · Physics 2016-08-31 P. A. Frigeri , D. F. Agterberg , I. Milat , M. Sigrist

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

The effects of absence of inversion symmetry on superconducting states are investigated theoretically. In particular we focus on the noncentrosymmetric compounds which have the cubic symmetry $O$ like Li$_2$Pt$_3$B. An appropriate and…

Superconductivity · Physics 2008-03-04 Chi-Ken Lu , Sungkit Yip

We consider weak-coupling superconductivity in the inversion- and rotation-symmetric system of two pseudospin $s=1$ low-energy fermions of opposite chirality. General contact interactions can lead to Cooper instabilities towards d-wave or…

Superconductivity · Physics 2021-12-21 Subrata Mandal , Igor F. Herbut

We investigate the emergence of superconducting phases, both with zero and finite Cooper-pair center of mass momenta, in recently proposed unconventional $p$-wave magnets. As a consequence, we find that, while these magnetic phases are in…

Superconductivity · Physics 2026-01-16 Igor de M. Froldi , Hermann Freire

We analyze the effect of magnetic fluctuations in superconductors with strong spin-orbit coupling and show that they drive a phase transition between two superconducting states: a conventional phase with zero center-of-mass momentum of…

Superconductivity · Physics 2017-05-31 Aviram Steinbok , Karen Michaeli

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 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

The origin of unconventional superconductivity, including high-temperature and heavy-fermion superconductivity, is still a matter of controversy. Spin excitations instead of phonons are thought to be responsible for the formation of Cooper…

$\rm CePt_3Si$ is a novel heavy fermion superconductor, crystallising in the $\rm CePt_3B$ structure as a tetragonally distorted low symmetry variant of the $\rm AuCu_3$ structure type. $\rm CePt_3Si$ exhibits antiferromagnetic order at…

Strongly Correlated Electrons · Physics 2009-11-10 E. Bauer , G. Hilscher , H. Michor , Ch. Paul , E. W. Scheidt , A. Gribanov , Yu. Seropegi , H. Noel , M. Sigrist , P. Rogl

This is a model study for the emergence of superconductivity in ferromagnetically ordered phases of cubic materials whose crystal structure lacks inversion symmetry. A Ginzburg-Landau-type theory is used to find the ferromagnetic state and…

Superconductivity · Physics 2011-10-20 Titus Neupert , Manfred Sigrist

The article reviews recent developments on magnetic properties of superconductors with anisotropic Cooper pairing. In particular, we show how the concept of broken symmetries is applied to the investigation of the mixed state in…

Condensed Matter · Physics 2016-08-31 I. A. Luk'yanchuk , M. E. Zhitomirsky

Since the concept of spin superconductor was proposed, all the related studies concentrate on spin-polarized case. Here, we generalize the study to spin-non-polarized case. The free energy of non-polarized spin superconductor is obtained,…

Superconductivity · Physics 2017-11-20 Peng Lv , Zhi-qiang Bao , Ai-Min Guo , X. C. Xie , Qing-Feng Sun
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