Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction

Fuente: arXiv
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Hauptverfasser: Miki, Tatsuya, Tanaka, Yukio, Tamura, Shun, Hoshino, Shintaro
Format: Preprint
Veröffentlicht: 2024
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author Miki, Tatsuya
Tanaka, Yukio
Tamura, Shun
Hoshino, Shintaro
author_facet Miki, Tatsuya
Tanaka, Yukio
Tamura, Shun
Hoshino, Shintaro
contents We study a superconductor Josephson junction with a Bogoliubov Fermi surface, employing McMillan's Green's function technique. The low-energy degrees of freedom are described by spinless fermions (bogolons), where the characteristic feature appears as an odd-frequency pair potential. The differential equation of the Green's function is reduced to the eigenvalue problem of the non-Hermitian effective Hamiltonian. The physical quantities such as the density of states and pair amplitude are then extracted from the obtained Green's function. We find that the zero energy local density of states at the interface decreases as the relative phase of the Josephson junction increases. This decrease is accompanied by the generation of an even-frequency pair amplitude near the interface. We also clarify that the $π$-junction-like current phase relation is realized in terms of bogolons. In contrast to conventional $s$-wave superconductor junctions, where even-frequency pairs dominate in the bulk and odd-frequency pairs are generated near the interface, our findings illuminate the distinct behaviors of junctions with Bogoliubov Fermi surfaces. We further explore spatial dependences of these physical quantities systematically using quasiclassical Green's functions.
format Preprint
id arxiv_https___arxiv_org_abs_2405_14181
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
Miki, Tatsuya
Tanaka, Yukio
Tamura, Shun
Hoshino, Shintaro
Superconductivity
Strongly Correlated Electrons
We study a superconductor Josephson junction with a Bogoliubov Fermi surface, employing McMillan's Green's function technique. The low-energy degrees of freedom are described by spinless fermions (bogolons), where the characteristic feature appears as an odd-frequency pair potential. The differential equation of the Green's function is reduced to the eigenvalue problem of the non-Hermitian effective Hamiltonian. The physical quantities such as the density of states and pair amplitude are then extracted from the obtained Green's function. We find that the zero energy local density of states at the interface decreases as the relative phase of the Josephson junction increases. This decrease is accompanied by the generation of an even-frequency pair amplitude near the interface. We also clarify that the $π$-junction-like current phase relation is realized in terms of bogolons. In contrast to conventional $s$-wave superconductor junctions, where even-frequency pairs dominate in the bulk and odd-frequency pairs are generated near the interface, our findings illuminate the distinct behaviors of junctions with Bogoliubov Fermi surfaces. We further explore spatial dependences of these physical quantities systematically using quasiclassical Green's functions.
title Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
topic Superconductivity
Strongly Correlated Electrons
url https://arxiv.org/abs/2405.14181