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Motivated by recent advances in the fabrication of Josephson junctions in which the weak link is made of a low-dimensional non-superconducting material, we present here a systematic theoretical study of the local density of states (LDOS) in…

Superconductivity · Physics 2019-10-23 Danilo Nikolic , Juan Carlos Cuevas , Wolfgang Belzig

The profiles of local density of states (LDOS) around different vortex configurations in mesoscopic superconductors are studied taking account of the interference of quasiparticle waves experiencing Andreev reflection within the vortex…

Superconductivity · Physics 2015-05-13 A. S. Mel'nikov , D. A. Ryzhov , M. A. Silaev

Semiclassical theory of proximity effect predicts a gap E_g \sim hD/L^2 in the excitation spectrum of a long diffusive SNS junction. Mesoscopic fluctuations lead to anomalously localized states in the normal part of the junction. As a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. M. Ostrovsky , M. A. Skvortsov , M. V. Feigel'man

We discuss localization of quasiparticles in an extended NS structure in the situation when the reflection from the NS interface is mostly of Andreev kind. The localization of quasiparticle states arises due to trajectory retracing caused…

Condensed Matter · Physics 2008-04-12 A. V. Shytov , P. A. Lee , L. S. Levitov

On the basis of the quasiclassical theory of superconductivity, we obtain a formula for the local density of states (LDOS) around a vortex core of superconductors with anisotropic pair-potential and Fermi surface in arbitrary directions of…

Superconductivity · Physics 2007-05-23 Yuki Nagai , Yosuke Ueno , Yusuke Kato , Nobuhiko Hayashi

We analyze the local density of states (LDOS) of heterostructures consisting of alternating ferromagnet, $F$, and superconductor, $S$, layers. We consider structures of the $SFS$ and $SFSFSFS$ type, with thin nanometer scale $F$ and $S$…

Superconductivity · Physics 2009-11-10 Klaus Halterman , Oriol T. Valls

Using a Scanning Tunneling Microscope (STM), we investigate the Local Density of States (LDOS) of artificially fabricated normal metal nano-structures in contact with a superconductor. Very low temperature local spectroscopic measurements…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 W. Escoffier , C. Chapelier , F. Lefloch

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 investigated the local density of states (LDOS) of a normal metal (N) in good electrical contact with a superconductor (S) as a function of the distance $x$ to the NS interface. The sample consists of a pattern of alternate stripes of Au…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. Vinet , C. Chapelier , F. Lefloch

We study the density of states (DoS) $\nu(E)$ in a normal-metallic (N) film contacted by a bulk superconductor (S). We assume that the system is diffusive and the SN interface is transparent. In the limit of thin N layer (compared to the…

Superconductivity · Physics 2022-12-29 A. A. Mazanik , Ya. V. Fominov

Quasiclassical theory predicts an existence of a sharp energy gap E_g \sim D/L^2 in the excitation spectrum of a long diffusive superconductor--normal metal--superconductor (SNS) junction. We show that mesoscopic fluctuations remove the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. M. Ostrovsky , M. A. Skvortsov , M. V. Feigel'man

We study fluctuations of the local density of states (LDOS) on a tree-like lattice with large branching number $m$. The average form of the local spectral function (at given value of the random potential in the observation point) shows a…

Disordered Systems and Neural Networks · Physics 2009-10-30 Alexander D. Mirlin , Yan V. Fyodorov

Singularities of the joint density of states (JDOS) and Fourier-transformed local density of states (FT-LDOS) correspond to the hot spots in quasiparticle interference patterns. In this paper the singularity of JDOS is analyzed exactly,…

Superconductivity · Physics 2012-06-12 Qiang Han , Dan-Bo Zhang , Z. D. Wang

Andreev levels deplete energy states above the superconductive gap, which leads to the peculiar nonmonotonous crossover in the local density of states of mesoscopic superconductor/normal-metal/superconductor junctions. This effect is…

Superconductivity · Physics 2008-05-13 Alex Levchenko

Using a dual-mode STM-AFM microscope operating below 50mK we measured the Local Density of States (LDoS) along small normal wires connected at both ends to superconductors with different phases. We observe that a uniform minigap can develop…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 H. Le Sueur , P. Joyez , H. Pothier , C. Urbina , D. Esteve

We consider the effect of the finite size in the ab-plane on the surface density of states (DoS) in clean d-wave superconductors. In the bulk, the DoS is gapless along the nodal directions, while the presence of a surface leads to formation…

Superconductivity · Physics 2007-05-23 Ya. V. Fominov , A. A. Golubov

We investigate numerically the local density of states (LDOS) in the vicinity of a vortex core in a ferromagnetic superconductor. Specifically, we investigate how the LDOS is affected by the relative weight of the spin bands in terms of the…

Superconductivity · Physics 2009-11-13 Jacob Linder , Takehito Yokoyama , Asle Sudbø

It is shown that the local density of states (LDOS), measured in an Scanning Tunneling Microscopy (STM) experiment, at a single tip position contains oscillations as a function of Energy, due to quasiparticle interference, which is related…

Superconductivity · Physics 2013-05-29 Sumiran Pujari , C. L. Henley

We present a numerical study of the quasi-particle density of states (DoS) of two-dimensional d-wave superconductors in the presence of disorder, focusing on the influence of the range of the disorder. We find qualitatively different…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Bodo Huckestein , Alexander Altland

We study the density of quasiparticle states of dirty d-wave superconductors. We show the existence of singular corrections to the density of states due to quantum interference effects. We then argue that the density of states actually…

Superconductivity · Physics 2009-10-31 T. Senthil , Matthew P. A. Fisher
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