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Recent development in exact classification of a superconducting gap has elucidated various unconventional gap structures, which have not been predicted by the classification of order parameter based on the point group. One of the important…

超导电性 · 物理学 2019-04-17 Shuntaro Sumita , Takuya Nomoto , Ken Shiozaki , Youichi Yanase

We present the group-thoretical classification of gap functions in superconductors coexisting with some magnetic order in non-symmorphic magnetic space groups. Based on the weak-coupling BCS theory, we show that UCoGe-type ferromagnetic…

超导电性 · 物理学 2017-01-12 Takuya Nomoto , Hiroaki Ikeda

Determination of the symmetry property of superconducting gaps has been a central issue in studies to understand the mechanisms of unconventional superconductivity. Although it is often difficult to completely achieve the aforementioned…

超导电性 · 物理学 2022-02-03 Seishiro Ono , Ken Shiozaki

Motivated by a growing interest in multi-orbital superconductors with spin-orbit interactions, we perform the group-theoretical classification of various unconventional superconductivity emerging in symmorphic $\rm O$, $\rm D_4$, and $\rm…

超导电性 · 物理学 2016-11-28 Takuya Nomoto , Kazumasa Hattori , Hiroaki Ikeda

A heavy-fermion superconductor UPt$_3$ is a unique spin-triplet superconductor with multiple superconducting phases. Here we provide the first report on the first-principles analysis of the microscopic superconducting gap structure. We find…

超导电性 · 物理学 2016-11-28 Takuya Nomoto , Hiroaki Ikeda

We theoretically investigate the superconducting gap structures in wallpaper fermions, which are surface states of topological nonsymmorphic crystalline insulators, based on a two-dimensional effective model. A symmetry analysis identifies…

超导电性 · 物理学 2026-02-20 Kaito Yoda , Ai Yamakage

We develop the symmetry classification of superconducting gap functions in electron bands that do not transform under the crystal point group operations like the pure spin-1/2 states. The Bloch state bases in twofold degenerate bands with…

超导电性 · 物理学 2019-08-14 K. V. Samokhin

The superconducting gap structure of recently discovered heavy fermion superconductor PrOs4Sb12 was investigated by using thermal transport measurements in magnetic field rotated relative to the crystal axes. We demonstrate that a novel…

超导电性 · 物理学 2009-11-07 K. Izawa , Y. Nakajima , J. Goryo , Y. Matsuda , S. Osaki , H. Sugawara , H. Sato , P. Thalmeier , K. Maki

Searching for topological insulators/superconductors is a central subject in recent condensed matter physics. As a theoretical aspect, various classification methods of symmetry-protected topological phases have been developed, where the…

超导电性 · 物理学 2021-12-01 Shuntaro Sumita , Youichi Yanase

Over the past two decades, unconventional superconductivity with gap symmetry other than s-wave has been found in several classes of materials, including heavy fermion (HF), high-T_c, and organic superconductors. Unconventional…

超导电性 · 物理学 2009-11-11 Y. Matsuda , K. Izawa , I. Vekhter

Among the family of odd-parity topological superconductors derived from $\mathrm{Bi}_{2}\mathrm{Se}_{3}$, $\mathrm{Cu}_{x}(\mathrm{PbSe})_{5}(\mathrm{Bi}_{2}\mathrm{Se}_{3})_{6}$ (CPSBS) has been elucidated to have gap nodes. Although the…

超导电性 · 物理学 2024-04-15 Mahasweta Bagchi , Jens Brede , Aline Ramires , Yoichi Ando

We use group theory to classify the superconducting states of systems with two orbitals on a tetragonal lattice. The orbital part of the superconducting gap function can be either symmetric or anti-symmetric. For the orbital symmetric…

超导电性 · 物理学 2008-08-20 Yi Zhou , Weiqiang Chen , Fu-chun Zhang

The superconducting gap structure of recently discovered heavy fermion CePt_3Si without spatial inversion symmetry was investigated by thermal transport measurements down to 40 mK. In zero field a residual T-linear term was clearly resolved…

超导电性 · 物理学 2009-11-11 K. Izawa , Y. Kasahara , Y. Matsuda , K. Behnia , T. Yasuda , R. Settai , Y. Onuki

The hexagonal superconductor SrPtAs exhibits time-reversal-symmetry breaking below $T_c$, hinting at an unconventional pairing state. Therefore, the symmetry of the underlying crystal is important for the classification of possible gap…

超导电性 · 物理学 2017-05-09 Mark H. Fischer , Jun Goryo

Line nodes in the superconducting gap are known to be a source of Majorana flat bands (MFBs) in time-reversal-invariant superconductors (SCs). Here, we extend this relation to all symmetry-protected line nodes where an additional constraint…

超导电性 · 物理学 2018-05-16 Shingo Kobayashi , Shuntaro Sumita , Youichi Yanase , Masatoshi Sato

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…

超导电性 · 物理学 2007-05-23 P. M. Oppeneer , G. Varelogiannis

Discoveries of marked similarities to high-$T_{\text{c}}$ cuprate superconductors point to the realization of superconductivity in the doped $J_{\text{eff}} = 1 / 2$ Mott insulator Sr$_2$IrO$_4$. Contrary to the mother compound of cuprate…

超导电性 · 物理学 2017-07-25 Shuntaro Sumita , Takuya Nomoto , Youichi Yanase

The possible superconducting states of strontium ruthenate (Sr$_2$RuO$_4$) are organized into irreducible representations of the point group $D_{4h}$, with a special emphasis on nodes occurring within the superconducting gap. Our analysis…

超导电性 · 物理学 2019-12-25 S. -O. Kaba , D. Sénéchal

We study topological stability of nodes in nonsymmorphic superconductors (SCs). In particular, we demonstrate that line nodes in nonsymmirphic odd-parity SCs are protected by the interplay between topology and nonsymmorphic symmetry. As an…

超导电性 · 物理学 2016-10-18 Shingo Kobayashi , Youichi Yanase , Masatoshi Sato

We classify line nodes in superconductors with strong spin-orbit interactions and time-reversal symmetry, where the latter may include non-primitive translations in the magnetic Brillouin zone to account for coexistence with…

超导电性 · 物理学 2017-05-24 T. Micklitz , M. R. Norman
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