研究者詳細 - 田仲　由喜夫

論文 - 田仲　由喜夫

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Symmetry and Topology in Superconductors, odd-frequency pairing and edge states 招待有り査読有り Open Access

Y. Tanaka, M. Sato and N.Nagaosa

Journal of the Physical Society of Japan ８１巻 ( １ ) 頁： 011013_1-34 2012年

担当区分：筆頭著者記述言語：英語掲載種別：研究論文（学術雑誌）

Superconductivity is a phenomenon where the macroscopic quantum coherence appears due to the pairing of electrons. This offers a fascinating arena to study the physics of symmetry breaking, i.e., broken gauge symmetry. However, the important symmetries in superconductors are not only the gauge invariance. Especially, the symmetry properties of the pairing, i.e., the parity and spin-singlet/spin-triplet, determine the physical properties of the superconducting state. Recently it has been recognized that there is the important third symmetry of the pair amplitude, i.e., even or odd parity with respect to the frequency. The conventional uniform superconducting states correspond to the even-frequency pairing, but the recent finding is that the odd-frequency pair amplitude arises in the spatially non-uniform situation quite ubiquitously. Especially, this is the case in the Andreev bound state (ABS) appearing at the surface/interface of the sample. The other important recent development is on the nontrivial topological aspects of superconductors. As the band insulators are classified by topological indices into (i) conventional insulator, (ii) quantum Hall insulator, and (iii) topological insulator, also are the gapped superconductors. The influence of the nontrivial topology of the bulk states appears as the edge or surface of the sample, i.e., bulk-edge correspondence. In the superconductors, this leads to the formation of zero energy ABS (ZEABS). Therefore, the ABSs at the surface/interface of the superconductors are the place where the symmetry and topology meet each other which offer the stage of rich physics. In this review, we discuss the physics of ABS from the viewpoint of the odd-frequency pairing, the topological bulk-edge correspondence, and the interplay of these two issues. It is described how the symmetry of the pairing and topological indices determine the absence/presence of the ZEABS, its energy dispersion, and properties as the Majorana fermions. Various related issues such as the Helium 3, transport of Majorana fermions, and tunneling spectroscopies are also briefly discussed.

DOI： 10.1143/JPSJ.81.011013

Web of Science

Theory of Majorana Zero Modes in Unconventional Superconductors 招待有り査読有り国際共著 Open Access

Progress of Theoretical and Experimental Physics 8 巻頁： 08C105_1 - 08C105_90 2024年5月

Topology of Andreev bound states with flat dispersion 査読有り Open Access

M. Sato, Y. Tanaka, K. Yada and T. Yokoyama

Physical Review B 83 巻 ( 22 ) 頁： 224511_1-22 2011年

記述言語：英語掲載種別：研究論文（学術雑誌）

Theory of dispersionless Andreev bound states on surfaces of time-reversal-invariant unconventional superconductors is presented. The generalized criterion for the dispersionless Andreev bound state is derived from the bulk-edge correspondence, and the chiral spin structure of the dispersionless Andreev bound states is argued from which the Andreev bound state is stabilized. We then summarize the criterion in a form of index theorems. The index theorems are proved in a general framework to certify the bulk-edge correspondence. As concrete examples, we discuss the (i) d xy -wave superconductor, (ii) p x -wave superconductor, and (iii) noncentrosymmetric superconductors. In the last example, we find a peculiar time-reversal-invariant Majorana fermion. The time-reversal-invariant Majorana fermion shows an unusual response to the Zeeman magnetic field, which can be used to identify it experimentally.

DOI： 10.1103/PhysRevB.83.224511

Full counting statistics for unconventional superconductor junctions 査読有り Open Access

Tim Kokkeler, Alexander Golubov, F. Sebastian Bergeret, and Yukio Tanaka

Physical Review B 112 巻頁： 024507_1 - 014504_67 2025年7月

Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators 査読有り

Y. Tanaka, T. Yokoyama and N. Nagaosa.

Physical Review Letters 103 巻頁： 107002_1-4 2009年

Floquet Engineering Spin Triplet States in Unconventional Magnets 査読有り国際共著 Open Access

Pei-Hao Fu, Sayan Mondal, Jun-Feng Liu, Yukio Tanaka, and Jorge Cayao

Physical Review Letters 136 巻頁： 066703_1 - 066703_11 2026年2月

Detecting the topological phase transition in superconductor-semiconductor hybrids by electronic Raman spectroscopy 招待有り査読有り国際共著

Takeshi Mizushima, Yukio Tanaka, and Jorge Cayao

Physical Review B 112 巻頁： 174504_1 - 174504_21 2025年11月

Tunneling Conductance in Superconducting Junctions with p-wave Unconventional Magnets Breaking Time-reversal Symmetry 招待有り査読有り Open Access

Yuri Fukaya, Keiji Yada, and Yukio Tanaka

Journal of Superconductivity and Novel Magnetism 38 巻 ( 38 ) 頁： 228_1 - 228_18 2025年10月

Anomalous Proximity Effect Under Andreev and Majorana Bound States 査読有り Open Access

Eslam Ahmed, Yukio Tanaka, and Jorge Cayao

Journal of Superconductivity and Novel Magnetism 38 巻頁： 220_1 - 220_15 2025年8月

Yuri Fukaya, Bo Lu, Keiji Yada, Yukio Tanaka and Jorge Cayao 招待有り査読有り国際共著 Open Access

Yuri Fukaya, Bo Lu, Keiji Yada, Yukio Tanaka and Jorge Cayao

Journal of Physics Condensed Matter 37 巻頁： 313003_1 - 313003_53 2025年8月

Broken time-reversal symmetry detected by point-contact spectroscopy of superconducting Pd-doped CaAgP 査読有り国際共著 Open Access

Naoki Matsubara, Rikizo Yano, Kazushige Saigusa, Koshi Takenaka, Yoshihiko Okamoto, Yukio Tanaka, and Satoshi Kashiwaya

Physical Review B 112 巻頁： 014504_1 - 014504_11 2025年7月

Odd-frequency pairing due to Majorana and trivial Andreev bound states 査読有り国際共著

Eslam Ahmed, Shun Tamura, Yukio Tanaka, and Jorge Cayao

Physical Review B 111 巻頁： 224508_1 - 224508_17 2025年6月

Orientation-dependent transport in junctions formed by d-wave altermagnets and d-wave superconductors 査読有り国際共著

Wenjun Zhao, Yuri Fukaya, Pablo Burset, Jorge Cayao, Yukio Tanaka, and Bo Lu

Physical Review B 111 巻頁： 184515 2025年5月

Classification of pair symmetries in superconductors with unconventional magnetism 査読有り国際共著

Kazuki Maeda, Yuri Fukaya, Keiji Yada, Bo Lu, Yukio Tanaka, and Jorge Cayao

PHYSICAL REVIEW B 111 巻頁： 144508_1 - 144508_14 2025年4月

Josephson effect and odd-frequency pairing in superconducting junctions with unconventional magnets 招待有り査読有り Open Access

Yuri Fukaya, Kazuki Maeda, Keiji Yada, Jorge Cayao, Yukio Tanaka, and Bo Lu

PHYSICAL REVIEW B 111 巻頁： 064502_1 - 064502_15 2025年2月

Chirality detection through vortex bound states in a (d+id’)-wave superconductor 査読有り

Soma Yoshida, Yukio Tanaka, Alexander A. Golubov, and Shu-Ichiro Suzuki

PHYSICAL REVIEW B 111 巻頁： 014511_1 - 014511_10 2025年1月

Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors 査読有り

Eslam Ahmed , Shun Tamura, Yukio Tanaka, and Jorge Cayao

111 巻頁： 024507_1 - 024507_17 2025年1月

Anisotropic paramagnetic response of topological Majorana surface states in the superconductor UTe2 査読有り

Ryoi Ohashi, Jushin Tei, Yukio Tanaka, Takeshi Mizushima, and Satoshi Fujimoto

Physical Review B 頁： 174521_1 - 174521_15 2024年11月

φJosephson Junction Induced by Altermagnetism 査読有り国際共著

Bo Lu, Kazuki Maeda, Hiroyuki Ito, Keiji Yada, and Yukio Tanaka

Physical Review Letters 133 巻頁： 226002_1 - 226002_6 2024年11月

Theory of Tunneling Spectroscopy in Unconventional p-Wave Magnet-Superconductor Hybrid Structures 招待有り査読有り国際共著

Kazuki Maeda, Bo Lu, Keiji Yada, and Yukio Tanaka

Journal of the Physical Society of Japan 93 巻頁： 114703_1 - 114703_16 2024年10月

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