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A d-wave superconductor, its phase coherence progressively destroyed by unbinding of vortex-antivortex pairs, suffers an instability related to chiral symmetry breaking in two-flavor QED$_3$. The chiral manifold exhibits large degeneracy…

Superconductivity · Physics 2007-05-23 Z. Tesanovic , O. Vafek , M. Franz

The physics of a planar chiral $p\pm i p$ superconductor is studied for various vortex configurations. The occurrence of vortex quasi-particle bound states is exposed together with their ensuing collective properties, such as sub-gap bands…

Superconductivity · Physics 2018-09-26 Daniel Ariad , Yshai Avishai , Eytan Grosfeld

We investigate the equilibrium and nonequilibrium properties of the core region of vortices in layered superconductors. We discuss the electronic structure of singly and doubly quantized vortices for both s-wave and d-wave pairing symmetry.…

Superconductivity · Physics 2008-06-29 M. Eschrig , D. Rainer , J. A. Sauls

The electromagnetic response to microwaves in the mixed state of YBa2Cu3Oy(YBCO) was measured in order to investigate the electronic state inside and outside the vortex core. The magnetic-field dependence of the complex surface impedance at…

The charging effect of a superconducting vortex core is very important for transport properties of superconducting vortices. The chiral p-wave superconductor, known as a topological superconductor (SC), has a Majorana fermion in a vortex…

Superconductivity · Physics 2018-05-09 Yusuke Masaki , Yusuke Kato

We present a comprehensive study of vortex structures in $d$-wave superconductors from large-scale renormalized mean-field theory of the square-lattice $t$-$t'$-$J$ model, which has been shown to provide a quantitative modeling for…

Superconductivity · Physics 2023-07-17 Yi-Hsuan Liu , Wei-Lin Tu , Gia-Wei Chern , Ting-Kuo Lee

We calculate the density of states of an inhomogeneous superconductor in a magnetic field where the positions of vortices are distributed completely at random. We consider both the cases of s-wave and d-wave pairing. For both pairing…

Superconductivity · Physics 2007-05-23 J. Lages , P. D. Sacramento , Z. Tesanovic

In this paper, we investigate a local density of state (LDOS) in two-dimensional nano-structured superconductors. We solve the Bogoliubov-de Gennes equations self-consistently with the two-dimensional finite element method. In…

Superconductivity · Physics 2019-09-04 Saoto Fukui , Zhen Wang , Masaru Kato

We study the basic features of the local density of states (LDOS) observed in STM experiments on high-T$_c$ d-wave superconductors in the context of a minimal model of a d-wave superconductor which has {\it weakly} modulated off-diagonal…

Superconductivity · Physics 2015-05-14 Dimitrios Galanakis , Stefanos Papanikolaou

A major question in Fe-based superconductors remains the structure of the pairing, in particular whether it is of unconventional nature. The electronic structure near vortices can serve as a platform for phase-sensitive measurements to…

Superconductivity · Physics 2015-03-20 Kyungmin Lee , Mark H. Fischer , Eun-Ah Kim

The interplay between magnetism and superconductivity can lead to unconventional proximity and Josephson effects. A related phenomenon that has recently attracted considerable attention is the superconducting diode effect, in which a…

Coexistence of antiferromagnetic order with superconductivity in many families of newly discovered iron-based superconductors has renewed interest to this old problem. Due to competition between the two types of order, one can expect…

Superconductivity · Physics 2015-08-14 Vivek Mishra , Alexei E. Koshelev

We investigate the vortex structure assuming the d-density wave scenario of the pseudogap. We discuss the profiles of the order parameters in the vicinity of the vortex, effective vortex charge and the local density of states. We find a…

Superconductivity · Physics 2009-11-10 Maciej M. Maska , Marcin Mierzejewski

We study the orbital angular momentum (OAM) $L_z$ of two-dimensional chiral $(p_x+ip_y)^{\nu}$-wave superfluids (SFs) in the presence of an axisymmetric multiply quantized vortex (MQV) with vorticity $k$ on a disk at zero temperature, in…

Superconductivity · Physics 2025-06-11 Yan He , Wenxing Nie

The energy levels of the fermions bound to the vortex core are considered for the general case of chiral superconductors. There are two classes of chiral superconductivity: in the superconducting state of class I the axisymmetric singly…

Condensed Matter · Physics 2009-10-31 G. E. Volovik

The probability distribution of the mesoscopic local density of states (LDOS) for a single-channel disordered quantum wire with chiral symmetry is computed in two different geometries. An approximate ansatz is proposed to describe the…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. Ryu , C. Mudry , A. Furusaki

We demonstrate an efficient numerical method for obtaining unique solutions to the Eilenberger equation for a mesoscopic or nanoscale superconductor. In particular, we calculate the local density of states of a circular d-wave island…

Superconductivity · Physics 2012-10-01 Yuki Nagai , K. Tanaka , Nobuhiko Hayashi

It has been broadly acknowledged that vortex detection algorithms, usually based on linear-algebraic properties of the velocity gradient tensor, can be plagued with severe shortcomings and may become, in practical terms, dependent on the…

Fluid Dynamics · Physics 2017-01-18 J. H. Elsas , L. Moriconi

We explore the effects of various kinds of random disorder on the quasiparticle density of states of two-dimensional d-wave superconductors using an exact real-space method, incorporating realistic details known about the cuprates. Random…

Superconductivity · Physics 2018-04-19 Miguel Antonio Sulangi , Jan Zaanen

The robustness of the chiral surface current of chiral superconductors against surface roughness is studied utilizing the quasiclassical Eilenberger theory. We consider the general chiral superconductors where the pair potential is given by…

Superconductivity · Physics 2023-10-05 Shu-Ichiro Suzuki , Alexander A. Golubov