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The magnetic flux periodicity of superconducting loops as well as flux quantization itself are a manifestation of macroscopic quantum phenomena with far reaching implications. They provide the key to the understanding of many fundamental…

Superconductivity · Physics 2008-02-11 F. Loder , A. P. Kampf , T. Kopp , J. Mannhart , C. W. Schneider , Yu. S. Barash

The magnetic flux periodicity in superconducting loops is reviewed. Whereas quantization of the magnetic flux with hc/2e prevails in sufficiently thick loops with current free interior, the supercurrent in narrow loops is either hc/2e or…

Superconductivity · Physics 2010-04-27 Florian Loder , Arno P. Kampf , Thilo Kopp

The magnetic flux dependence of order parameter and supercurrent is studied in a hollow d-wave superconducting cylinder. It is shown that the existence of line nodal quasiparticles in a pure $d_{x^2-y^2}$ pairing state gives rise to an…

Superconductivity · Physics 2008-06-12 Jian-Xin Zhu

Supercurrents in superconducting flux threaded loops are expected to oscillate with the magnetic flux with a period of hc/2e. This is indeed true for s-wave superconductors larger than the coherence length xi_0. Here we show that for…

Superconductivity · Physics 2009-07-16 Florian Loder , Arno P. Kampf , Thilo Kopp , Jochen Mannhart

The periodic response of a metallic or a superconducting ring to an external magnetic flux is one of the most evident manifestations of quantum mechanics. It is generally understood that the oscillation period hc/2e in the superconducting…

Superconductivity · Physics 2012-06-11 Florian Loder , Arno P. Kampf , Thilo Kopp

The magnetic flux threading a conventional superconducting ring is typically quantized in units of $\Phi_0=hc/2e$. The factor 2 in the denominator of $\Phi_0$ originates from the existence of two different types of pairing states with…

Superconductivity · Physics 2013-08-23 Florian Loder , Arno P. Kampf , Thilo Kopp

Superconductors in a cylindrical geometry respond periodically to a cylinder-threading magnetic flux, with the period changing from hc/2e to hc/e depending on whether the Aharonov-Bohm effects are suppressed or not. We show that Holographic…

High Energy Physics - Theory · Physics 2013-05-29 Marc Montull , Oriol Pujolas , Alberto Salvio , Pedro J. Silva

It is shown that for superconductors with circumference $2\pi R$ approaching BCS coherence length $\xi_0$ minimal period of the response of all thermodynamic quantities to external magnetic field is set by $hc/e$ i.e. twice the…

Superconductivity · Physics 2009-01-07 Victor Vakaryuk

A two-dimensional second-order topological superconductor exhibits a finite gap in both bulk and edges, with the nontrivial topology manifesting itself through Majorana zero modes localized at the corners, i.e., Majorana corner states. We…

Mesoscale and Nanoscale Physics · Physics 2018-05-29 Xiaoyu Zhu

Recent experiments reported that quantum Hall chiral edge state-mediated Josephson junctions (chiral Josephson junctions) could exhibit Fraunhofer oscillations with a periodicity of either $h/e$ [Vignaud \textit{et al}.,~Nature~(2023)] or…

Mesoscale and Nanoscale Physics · Physics 2024-08-29 Zi-Ting Sun , Jin-Xin Hu , Ying-Ming Xie , K. T. Law

In semiconductor-superconductor hybrid structures a topological phase transition is expected as a function of chemical potential or magnetic field strength. We show that signatures of this transition can be observed in nonlinear Coulomb…

Superconductivity · Physics 2012-12-05 Björn Zocher , Mats Horsdal , Bernd Rosenow

Recently, much research has been dedicated to understanding topological superconductivity and Majorana zero modes induced by a magnetic field in hybrid proximity structures. This paper proposes a realization of topological superconductivity…

Mesoscale and Nanoscale Physics · Physics 2019-03-14 G. Tkachov

We look back on the turning point of the concept of individual electron carrier and paired electrons carrier in superconductivity history, look back on the magnetic flux quantization interpretation and experiment, reference the new…

Superconductivity · Physics 2018-11-06 Xiang Wu

We calculate the linear conductance of a two-dimensional electron gas (2DEG)-based junction between a normal semiconductor section and a hybrid semiconductor-superconductor section, under perpendicular magnetic field. We consider two…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Llorenç Serra , Kaveh Delfanazari

We investigate Josephson currents in mesoscopic rings with a weak link which are in or near a topological superconducting phase. As a paradigmatic example, we consider the Kitaev model of a spinless p-wave superconductor in one dimension,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Falko Pientka , Alessandro Romito , Mathias Duckheim , Yuval Oreg , Felix von Oppen

We analyze the crossover from an hc/e-periodicity of the persistent current in flux threaded clean metallic rings towards an hc/2e-flux periodicity of the supercurrent upon entering the superconducting state. On the basis of a model…

Superconductivity · Physics 2009-07-09 F. Loder , A. P. Kampf , T. Kopp

We study theoretically second-order topological superconductors characterized by the presence of pairs of zero-energy Majorana corner states. We uncover a quadrupole spin polarization at the system edges that provides a striking signature…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Kirill Plekhanov , Niclas Müller , Yanick Volpez , Dante M. Kennes , Herbert Schoeller , Daniel Loss , Jelena Klinovaja

We consider the energy of the filled quasiparticle's Fermi sea of a macroscopic superconducting ring threaded by an hc/2e-vortex, when the material of the ring is of an unconventional pairing symmetry. The energy relative to the one for the…

Superconductivity · Physics 2008-05-10 Vladimir Juricic , Igor F. Herbut , Zlatko Tesanovic

We investigate the anomalous flux state of interacting higher-order topological superconductors (HOTSC) protected by rotation symmetries. By introducing a $\pi$ superconducting flux in 2D HOTSC, we demonstrate the existence of a robust zero…

Superconductivity · Physics 2023-01-13 Yizhi You

Higher-order topological superfluids have gapped bulk and symmetry-protected Majorana zero modes with various localizations. Motivated by recent advances, we present a proposal for synthesizing multi-order topological superfluids that…

Quantum Gases · Physics 2021-07-09 Yu-Biao Wu , Guang-Can Guo , Zhen Zheng , Xu-Bo Zou
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