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

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

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

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

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

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

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

Optical conductivity of the Majorana mode at the s- and d-wave topological superconductor edge 招待有り査読有り

Lina Johnsen Kamra, Bo Lu, Jacob Linder, Yukio Tanaka, and Naoto Nagaosa

Proceedings of the National Academy of Sciences 121 巻頁： e2404009121_1 - e2404009121_9 2024年9月

Surface density of states and tunneling spectroscopy of a spin-3/2 superconductor with Bogoliubov Fermi surfaces 査読有り

Ryoi Ohashi, Shingo Kobayashi, Shotaro Kanazawa, Yukio Tanaka, and Yuki Kawaguchi

110 巻頁： 104515_1 - 104515_10 2024年9月

Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junctions 査読有り

Tatsuya Miki, Yukio Tanaka, Shun Tamura, and Shintaro Hoshino

PHYSICAL REVIEW B 110 巻頁： 054517_1 - 054517_18 2024年8月

Multilocational Majorana zero modes 招待有り査読有り国際共著

Yutaro Nagae, Andreas P. Schnyder, Yukio Tanaka, Yasuhiro Asano, and Satoshi Ikegaya

PHYSICAL REVIEW B 110 巻頁： L041110_1 - L041110_7 2024年7月

Theory of Josephson current on a lattice model of grain boundary in d-wave superconductors 査読有り

Takashi Sakamori, Satoshi Kashiwaya, Rikizo Yano, Yukio Tanaka, Takafumi Hatano and Keiji Yada

Superconductor Science and Technology 36 巻頁： 085001_1 - 085001_10 2024年6月

Controllable odd-frequency Cooper pairs in multisuperconductor Josephson junctions 招待有り査読有り

Jorge Cayao, Pablo Burset , and Yukio Tanaka

PHYSICAL REVIEW B 109 巻頁： 205406_1 - 205406_10 2024年6月

Positive magnetoresistance in anapole superconductor junctions 査読有り国際共著

Tim Kokkeler, Alexander Golubov, and Yukio Tanaka

PHYSICAL REVIEW B 109 巻頁： 174513_1 - 174513_17 2024年5月

Enhancing the Josephson diode effect with Majorana bound states 査読有り国際共著

Jorge Cayao, Naoto Nagaosa, and Yukio Tanaka

PHYSICAL REVIEW B 109 巻頁： L081405_1 - L081405_7 2024年2月

A phenomenological theory of superconductor diodes (vol 24, 053014, 2022)

He, JJ; Tanaka, Y; Nagaosa, N

NEW JOURNAL OF PHYSICS 26 巻 ( 2 ) 2024年2月

Phase-dependent Andreev molecules and superconducting gap closing in coherently-coupled Josephson junctions 査読有り国際共著

Matsuo, S; Imoto, T; Yokoyama, T; Sato, Y; Lindemann, T; Gronin, S; Gardner, GC; Nakosai, S; Tanaka, Y; Manfra, MJ; Tarucha, S

NATURE COMMUNICATIONS 14 巻 ( 1 ) 2023年12月

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