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In this review article we present a survey of unconventional superconductors and their coexistence behaviour with magnetism. We focus on Ce- and U-based heavy fermion superconductors, in addition we discuss the rare earth borocarbide and…

Strongly Correlated Electrons · Physics 2009-09-29 Peter Thalmeier , Gertrud Zwicknagl

In this paper the low-temperature properties of two isostructural canonical heavy-fermion compounds are contrasted with regards to the interplay between antiferromagnetic (AF) quantum criticality and superconductivity. For CeCu$_2$Si$_2$,…

This review discusses the heavy-fermion superconductivity in Ce- and U-based compounds crystallizing in the body-centered tetragonal ThCr2Si2 structure. Special attention will be paid to the theoretical background of these systems which are…

Superconductivity · Physics 2012-02-23 Oliver Stockert , Stefan Kirchner , Frank Steglich , Qimiao Si

High pressure provides a powerful means for exploring unconventional superconductivity which appears mostly on the border of magnetism. Here we report the discovery of pressure-induced heavy fermion superconductivity up to 2.5 K in the…

Superconductivity · Physics 2014-09-30 Z. Ren , L. V. Pourovskii , G. Giriat , G. Lapertot , A. Georges , D. Jaccard

The study of competing ground states is a central issue in condensed matter physic. In this article we will discuss the interplay of antiferromagnetic order and unconventional superconductivity in Ce based heavy-fermion compounds. In all…

Strongly Correlated Electrons · Physics 2015-05-28 Georg Knebel , Dai Aoki , Jacques Flouquet

Superconductivity in a crystalline lattice without inversion is subject to complex spin-orbit-coupling effects, which can lead to mixed-parity pairing and an unusual magnetic response. In this study, the properties of a layered…

Superconductivity · Physics 2021-06-08 Eric G. Schertenleib , Mark H. Fischer , Manfred Sigrist

The formation of electron pairs is a prerequisite of superconductivity. The fermionic nature of electrons yields four classes of superconducting correlations with definite symmetry in spin, space and time. Here, we suggest double quantum…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 Björn Sothmann , Stephan Weiss , Michele Governale , Jürgen König

Topological superconductors are appealing building blocks for robust and reliable quantum information processing. Most platforms for engineering topological superconductivity rely on a combination of superconductors, materials with…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Ignacio Sardinero , Rubén Seoane Souto , Pablo Burset

The interplay between electronic orders and superconductivity is central to the physics of unconventional superconductors, and is particularly pronounced in the iron-based superconductors. Motivated by recent experiments on FeSe, we study…

Strongly Correlated Electrons · Physics 2018-12-19 Haoyu Hu , Rong Yu , Emilian M. Nica , Jian-Xin Zhu , Qimiao Si

The discovery of multiple superconducting phases in UTe2 boosted research on correlated-electron physics. This heavy-fermion paramagnet was rapidly identified as a reference compound to study the interplay between magnetism and…

We demonstrate that strong inter-orbital interaction is very efficient to achieve superconductivity due to magnetic fluctuations in the iron pnictides. Fermi surface states that are coupled by the antiferromagnetic wave vector are often of…

Superconductivity · Physics 2015-05-13 Junhua Zhang , Rastko Sknepnek , Rafael M. Fernandes , Joerg Schmalian

We review magnetic, superconducting and non-Fermi-liquid properties of the structurally layered heavy-fermion compounds Ce$_n$M$_m$In$_{3n+2m}$ (M=Co, Rh, Ir). These properties suggest d-wave superconductivity and proximity to an…

Realistic selfconsistent calculations of unconventional superconductivity in a heavy-fermion material are reported. Our calculations for UPd$_2$Al$_3$ start from accurate energy band dispersions that are computed within the local…

Superconductivity · Physics 2007-05-23 P. M. Oppeneer , G. Varelogiannis

The novel spin-triplet superconductor candidate UTe2 was discovered only recently at the end of 2018 and attracted enormous attention. We review key experimental and theoretical progress which has been achieved in different laboratories.…

Strongly Correlated Electrons · Physics 2022-04-18 D. Aoki , J. -P. Brison , J. Flouquet , K. Ishida , G. Knebel , Y. Tokunaga , Y. Yanase

We examine superconductivity in layered systems with large Fermi-surface splitting due to coexisting ferromagnetic layers. In particular, the hybrid ruthenate-cuprate compound RuSr_2GdCu_2O_8 is examined on the coexistence of the…

Superconductivity · Physics 2009-10-31 Hiroshi Shimahara , Satomi Hata

Symmetry properties of the order parameter are among the most fundamental characteristics of a superconductor. The pairing symmetry of recently discovered heavy fermion superconductor UTe2 featuring an exceedingly large upper critical field…

Superconductivity · Physics 2025-12-19 Zixuan Li , Camilla M. Moir , Nathan J. McKee , Eric Lee-Wong , Ryan E. Baumbach , M. Brian Maple , Ying Liu

Despite intense efforts during the last 25 years, the physics of unconventional superconductors, including the cuprates with a very high transition temperature, is still a controversial subject. It is believed that superconductivity in many…

Strongly Correlated Electrons · Physics 2011-11-01 Jian-Huang She , Bas J. Overbosch , Ya-Wen Sun , Yan Liu , Koenraad Schalm , John A. Mydosh , Jan Zaanen

We present a detailed investigation of the topological phases and Majorana fermion (MF) excitations that arise from the bulk interplay between (un)conventional one/two-band spin-singlet superconductivity and a number of magnetic texture…

Superconductivity · Physics 2022-03-28 Daniel Steffensen , Morten H. Christensen , Brian M. Andersen , Panagiotis Kotetes

Superconductivity in heavy-fermion materials can sometimes appear in the incoherent regime and in proximity to an antiferromagnetic quantum critical point. Here we study these phenomena using large scale determinant quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2015-02-25 Wei Wu , A. -M. -S. Tremblay

We report an {\it in-situ} scanning tunneling microscopy study of atomically thin films of CeCoIn$_5$, a $d$-wave heavy-fermion superconductor. Both hybridization and superconducting gaps are observed even in monolayer CeCoIn$_5$, providing…

Strongly Correlated Electrons · Physics 2023-03-20 L. Peng , M. Naritsuka , S. Akutagawa , S. Suetsugu , M. Haze , Y. Kasahara , T. Terashima , R. Peters , Y. Matsuda , T. Asaba