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The local density of states (LDOS) around a vortex core is studied theoretically in terms of the odd-frequency (odd-omega) Cooper pairing induced around the center of the vortex core. We find a robust zero-energy peak in the LDOS at a…

Superconductivity · Physics 2009-11-13 Y. Tanuma , N. Hayashi , Y. Tanaka , A. A. Golubov

Odd-frequency Cooper pairs with chiral symmetry emerging at the edges of topological superconductors are a useful physical quantity for characterizing the topological properties of these materials. In this work, we show that the…

Superconductivity · Physics 2019-05-29 Shun Tamura , Shintaro Hoshino , Yukio Tanaka

Odd-frequency Cooper pairs are gathering attention for the convenience of investigating the edge state of topological superconductors including Majorana fermions. Although a spinless p-wave superconductor has only one Majorana fermion in a…

Superconductivity · Physics 2022-06-08 Daijiro Takagi , Maria Teresa Mercaldo , Yukio Tanaka , Mario Cuoco

We discuss odd-frequency Cooper pairs appearing in two-band superconductors by solving the Gor'kov equation analytically. We introduce the equal-time $s$-wave pair potentials as realized in MgB$_2$ and iron pnictides. Although the order…

Superconductivity · Physics 2020-07-21 Yasuhiro Asano , Akihiro Sasaki

We study the odd-frequency Cooper pairs formed near the surface of superfluid 3He. The odd-frequency pair amplitude is closely related to the local density of states in the low energy limit. We derive a formula relating explicitly the two…

Superconductivity · Physics 2012-01-24 S. Higashitani , S. Matsuo , Y. Nagato , K. Nagai , S. Murakawa , R. Nomura , Y. Okuda

We investigate the vortex structure in chiral p-wave superconductors by the Bogoliubov-de Gennes theory on a tight-binding model. We calculate the spatial structure of the pair potential and electronic state around a vortex, including the…

Superconductivity · Physics 2009-11-07 Mitsuaki Takigawa , Masanori Ichioka , Kazushige Machida , Manfred Sigrist

Quasiparticle states around a single vortex in a $p_x\pm i p_y$-wave superconductor are studied on the basis of the Bogoliubov-de Gennes (BdG) theory, where both charge and current screenings are taken into account. Due to the violation of…

Superconductivity · Physics 2009-11-07 Masashige Matsumoto , Rolf Heeb

Making use of the Bogoliubov-de Gennes equation, we study the quasi-particle spectrum and the vortex core structure of a single vortex in quasi 2D s-wave superconductors for small $p_F\xi_0$, where $p_F$ is the Fermi momentum and…

Superconductivity · Physics 2009-10-31 Masaru Kato , Kazumi Maki

We study the behavior of Cooper pair amplitudes that emerge when a two-dimensional superconductor is coupled to two parallel nanowires, focusing on the conditions for realizing odd-frequency pair amplitudes in the absence of spin-orbit…

Superconductivity · Physics 2019-07-24 Christopher Triola , Annica M. Black-Schaffer

We discuss a close relationship between a quasiparticle on the Bogoliubov Fermi surface and an odd-frequency Cooper pair in a superconductor in which a Cooper pair consisting of two j=3/2 electrons forms the pseudospin-quintet even-parity…

Superconductivity · Physics 2021-09-20 Dakyeong Kim , Shingo Kobayashi , Yasuhiro Asano

By using Bogoliubov-de Gennes (BdG) equations, we study superconducting (SC) states in a quasi 2-dimensional system of radius $R$. It is shown that no vortices exist in s-wave SC samples with $R<R_\text{c}\sim\xi(0)$, the T=0 coherence…

Superconductivity · Physics 2012-07-17 Jia-Wei Huo , Wei-Qiang Chen , S. Raghu , Fu-Chun Zhang

Making use of the Bogoliubov-de Gennes equation, we study the quasi-particle spectrum and the vortex core structure of a single vortex in quasi 2D s-wave superconductors for small p_F xi_0, where p_F is the Fermi momentum and…

Superconductivity · Physics 2009-10-31 Masaru Kato , Kazumi Maki

We propose an all-electrical experimental setup to detect and manipulate the amplitude of odd-frequency pairing in a double quantum dot. Odd-frequency pair amplitude is induced from the breakdown of orbital symmetry when Cooper pairs are…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 Pablo Burset , Bo Lu , Hiromi Ebisu , Yasuhiro Asano , Yukio Tanaka

We theoretically study the effects of spin-orbit interactions on symmetry of a Cooper pair in a spin-singlet d-wave superconductor in two-dimension. The pairing symmetry is analyzed in terms of the anomalous Green's function which is…

Superconductivity · Physics 2021-03-24 Jaechul Lee , Satoshi Ikegaya , Yasuhiro Asano

We investigate the structure of vortex-bound states in spin-singlet chiral superconductors with ($d_{x^2-y^2} \pm i d_{xy}$)-wave and ($d_{xz} \pm id_{yz}$)-wave pairing symmetries. It is found that vortices in the ($d_{xz} \pm…

Superconductivity · Physics 2016-03-15 Darrick Lee , Andreas P. Schnyder

It was previously suggested that an odd-frequency pair amplitude exists in the vicinity of boundaries in unconventional superconductors. We develop this idea and quest for a novel superconducting order parameter with an odd-frequency…

Superconductivity · Physics 2013-03-22 Masashige Matsumoto , Mikito Koga , Hiroaki Kusunose

We theoretically investigate strong-coupling properties of an odd-frequency Fermi superfluid. This pairing state has the unique property that Cooper pairs are formed between fermions, not at the same time, but at different times. To see…

Quantum Gases · Physics 2024-06-18 Shumpei Iwasaki , Taira Kawamura , Koki Manabe , Yoji Ohashi

We have investigated the vortex in chiral superconductors, especially in p-wave case. In chiral superconductors the Cooper pair has orbital angular momentum hence U(1), parity (P) and time reversal symmetry (T) are broken simultaneously. We…

Superconductivity · Physics 2009-10-31 J. Goryo

In order to identify the pairing symmetry with chirality, we study site-selective NMR in chiral p-wave superconductors. We calculate local nuclear relaxation rate 1/T_1 in the vortex lattice state by Eilenberger theory, including the…

Superconductivity · Physics 2016-03-15 Kenta K. Tanaka , Masanori Ichioka , Seiichiro Onari

Pair density waves, identified by Cooper pairs with finite center-of-mass momentum, have recently been observed in copper oxide based high T$_\textrm{c}$ superconductors (cuprates). A charge density modulation or wave is also ubiquitously…

Superconductivity · Physics 2021-03-08 Debmalya Chakraborty , Annica M. Black-Schaffer
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