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We study superconductivity in spin-orbit-coupled systems in the vicinity of inversion symmetry breaking. We find that due to the presence of spin-orbit coupling, fluctuations of the incipient parity-breaking order generate an attractive…

Superconductivity · Physics 2015-11-18 Vladyslav Kozii , Liang Fu

Unconventional magnetism has emerged as a transformative frontier in condensed matter physics. Such phases are characterized by substantial non-relativistic spin splitting (NSS) in symmetry-compensated magnets. They have been classified by…

Materials Science · Physics 2026-05-21 Xun-Jiang Luo , Dan Li , Rui-Chun Xiao , Ding-Fu Shao , Lei Li , Mingliang Tian , Yugui Yao

Magnetoresistance typically exhibits even symmetry with respect to the magnetic field, owing to time reversal symmetry (TRS) as dictated by Onsager reciprocity relations. However, in certain systems where TRS is broken, magnetoresistance…

Materials Science · Physics 2025-08-01 Tomoki Hotta , Le Duc Anh , Takahiro Chiba , Yohei Kota , Masaaki Tanaka

Odd-parity spin-splitting plays a central role in spintronics and unconventional superconductivity, yet its microscopic realization in collinear magnetic systems remains elusive. We propose a general symmetry-based strategy for realizing…

Mesoscale and Nanoscale Physics · Physics 2026-04-28 Zheng-Yang Zhuang , Di Zhu , Dongling Liu , Zhigang Wu , Zhongbo Yan

Odd-parity magnetism constitutes an intriguing phase of matter which breaks inversion symmetry while preserving time-reversal symmetry. Here we demonstrate that the Fe-based superconductors exhibiting coplanar magnetic order realize an…

Odd-parity magnetism has attracted significant interest for its unconventional spin splitting. However, a concrete microscopic route for its realization remains elusive. In this work, we propose van der Waals heterostructures of stripe…

Strongly Correlated Electrons · Physics 2026-02-16 Hanbyul Kim , Chan Bin Bark , Seik Pak , Gibaik Sim , Moon Jip Park

Magnetotransport measurements are a sensitive probe of symmetry and electronic structure in quantum materials. While conventional metals exhibit longitudinal magnetoconductivity that is even in a magnetic field ($B$) for small $B$, we show…

Mesoscale and Nanoscale Physics · Physics 2026-01-09 Sunit Das , Akash Adhikary , Divya Sahani , Aveek Bid , Amit Agarwal

Unconventional magnetism has typically been classified into two fundamental classes: even-parity magnets (EPMs) and odd-parity magnets (OPMs). These two classes exhibit identical and opposite spin splittings, respectively, under momentum…

Strongly Correlated Electrons · Physics 2026-03-10 Xun-Jiang Luo , Jin-Xin Hu , Mengli Hu , K. T. Law

The recent discovery of unconventional momentum-dependent magnetic orders has expanded the landscape of magnetism beyond conventional ferromagnetism and antiferromagnetism. Among them, $p$-wave magnets ($p$WMs) represent a novel class of…

Superconductivity · Physics 2026-03-04 Amartya Pal , Paramita Dutta , Arijit Saha

We study the superconductivity of spin-polarized electrons in centrosymmetric ferromagnetic metals. Due to the spin-polarization and the Fermi statistics of electrons, the superconducting pairing function naturally has odd parity. According…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Junyeong Ahn , Bohm-Jung Yang

According to Onsager's principle, electrical resistance $R$ of general conductors behaves as an even function of external magnetic field $B$. Only in special circumstances, which involve time reversal symmetry (TRS) broken by…

Mesoscale and Nanoscale Physics · Physics 2022-03-23 Kosuke Takiguchi , Le Duc Anh , Takahiro Chiba , Ryota Fukuzawa , Takuji Takahashi , Masaaki Tanaka

Fermi-surface spin splitting generated by non-relativistic exchange fields provides a new route to topological superconductivity without relying on strong spin-orbit coupling. Here, we study superconducting instabilities of a square-lattice…

Strongly Correlated Electrons · Physics 2026-05-05 Kyoung-Min Kim , Gibaik Sim , Moon Jip Park

Motivated by the recent experiment indicating that superconductivity in the doped topological insulator Cu$_x$Bi$_2$Se$_3$ has an odd-parity pairing symmetry with rotational symmetry breaking, we study the general class of odd-parity…

Superconductivity · Physics 2016-12-15 Jörn W. F. Venderbos , Vladyslav Kozii , Liang Fu

Realizing odd-parity, time-reversal-preserving, non-relativistic spin splitting is a central goal for spintronics applications. We propose a group-theory-based microscopic framework to induce odd-parity spin splitting from coplanar…

Odd-parity magnets (OPMs) have recently emerged as a new magnetic class, but their general symmetry criteria remain elusive. In this Letter, we establish these criteria through a comprehensive spin group symmetry analysis. Concretely, we…

Other Condensed Matter · Physics 2026-01-08 Xun-Jiang Luo , Jin-Xin Hu , Meng-Li Hu , K. T. Law

The existence of topological superconductors preserving time-reversal symmetry was recently predicted, and they are expected to provide a solid-state realization of itinerant massless Majorana fermions and a route to topological quantum…

Superconductivity · Physics 2013-03-04 Satoshi Sasaki , Zhi Ren , A. A. Taskin , Kouji Segawa , Liang Fu , Yoichi Ando

Unconventional $p$-wave magnets (UPMs) with odd-parity spin textures have attracted interest for their zero net magnetization and anisotropic spin-split Fermi surfaces. Here, we explore a non-Hermitian open quantum system composed of a…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Mohammad Alipourzadeh , Davood Afshar , Yaser Hajati

Higher-order topological superconductivity typically depends on spin-orbit interaction, and often necessitates well designed sample structures, nodal superconducting pairings or complex magnetic order. In this work, we propose a model that…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Jinpeng Xiao , Qianglin Hu , Zuodong Yu , Weipeng Chen , Xiaobing Luo

The phenomena of odd-parity magnetoresistance and the planar Hall effect are deeply entwined with ferromagnetism. The intrinsic magnetization of the ordered state permits these unusual and rarely observed manifestations of Onsager's theorem…

Strongly Correlated Electrons · Physics 2020-01-14 Yishu Wang , Patrick A. Lee , D. M. Silevitch , F. Gomez , S. E. Cooper , Y. Ren , J. -Q. Yan , D. Mandrus , T. F. Rosenbaum , Yejun Feng

Topological superconductors (TSCs) are correlated quantum states with simultaneous off-diagonal long-range order and nontrivial topological invariants. They produce gapless or zero energy boundary excitations, including Majorana zero modes…

Superconductivity · Physics 2021-03-05 Yi Zhang , Kun Jiang , Fuchun Zhang , Jian Wang , Ziqiang Wang
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