Faculty Profiles - TANAKA, Yukio

Papers - TANAKA, Yukio

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Symmetry and Topology in Superconductors, odd-frequency pairing and edge states Invited Reviewed

Y. Tanaka, M. Sato and N.Nagaosa

Journal of the Physical Society of Japan Vol. ８１ ( １ ) page： 011013_1-34 2012

Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)

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 Invited Reviewed International coauthorship

Progress of Theoretical and Experimental Physics Vol. 8 page： 08C105_1 - 08C105_90 2024.5

Topology of Andreev bound states with flat dispersion Reviewed

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

Physical Review B Vol. 83 ( 22 ) page： 224511_1-22 2011

Language：English Publishing type：Research paper (scientific journal)

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 Reviewed

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

Physical Review Letters Vol. 103 page： 107002_1-4 2009

Josephson effect and odd-frequency pairing in superconducting junctions with unconventional magnets Invited Reviewed

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

PHYSICAL REVIEW B Vol. 111 page： 064502_1 - 064502_15 2025.2

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

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

PHYSICAL REVIEW B Vol. 111 page： 014511_1 - 014511_10 2025.1

Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors Reviewed

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

Vol. 111 page： 024507_1 - 024507_17 2025.1

Anisotropic paramagnetic response of topological Majorana surface states in the superconductor UTe2 Reviewed

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

Physical Review B page： 174521_1 - 174521_15 2024.11

φJosephson Junction Induced by Altermagnetism Reviewed International coauthorship

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

Physical Review Letters Vol. 133 page： 226002_1 - 226002_6 2024.11

Theory of Tunneling Spectroscopy in Unconventional p-Wave Magnet-Superconductor Hybrid Structures Invited Reviewed International coauthorship

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

Journal of the Physical Society of Japan Vol. 93 page： 114703_1 - 114703_16 2024.10

Optical conductivity of the Majorana mode at the s- and d-wave topological superconductor edge Invited Reviewed

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

Proceedings of the National Academy of Sciences Vol. 121 page： e2404009121_1 - e2404009121_9 2024.9

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

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

Vol. 110 page： 104515_1 - 104515_10 2024.9

Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junctions Reviewed

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

PHYSICAL REVIEW B Vol. 110 page： 054517_1 - 054517_18 2024.8

Multilocational Majorana zero modes Invited Reviewed International coauthorship

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

PHYSICAL REVIEW B Vol. 110 page： L041110_1 - L041110_7 2024.7

Theory of Josephson current on a lattice model of grain boundary in d-wave superconductors Reviewed

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

Superconductor Science and Technology Vol. 36 page： 085001_1 - 085001_10 2024.6

Controllable odd-frequency Cooper pairs in multisuperconductor Josephson junctions Invited Reviewed

Jorge Cayao, Pablo Burset , and Yukio Tanaka

PHYSICAL REVIEW B Vol. 109 page： 205406_1 - 205406_10 2024.6

Positive magnetoresistance in anapole superconductor junctions Reviewed International coauthorship

Tim Kokkeler, Alexander Golubov, and Yukio Tanaka

PHYSICAL REVIEW B Vol. 109 page： 174513_1 - 174513_17 2024.5

Enhancing the Josephson diode effect with Majorana bound states Reviewed International coauthorship

Jorge Cayao, Naoto Nagaosa, and Yukio Tanaka

PHYSICAL REVIEW B Vol. 109 page： L081405_1 - L081405_7 2024.2

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

He, JJ; Tanaka, Y; Nagaosa, N

NEW JOURNAL OF PHYSICS Vol. 26 ( 2 ) 2024.2

Phase-dependent Andreev molecules and superconducting gap closing in coherently-coupled Josephson junctions Reviewed International coauthorship

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

NATURE COMMUNICATIONS Vol. 14 ( 1 ) 2023.12

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Papers - TANAKA, Yukio