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The physics of low-energy quasi-particle excitations in disordered d-wave superconductors is a subject of ongoing intensive research. Over the last decade, a variety of conceptually and methodologically different approaches to the problem…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alexander Altland , B. D. Simons , M. R. Zirnbauer

We investigate the quasiparticle density of states in disordered d-wave superconductors. By constructing a quantum map describing the quasiparticle dynamics in such a medium, we explore deviations of the density of states from its universal…

Superconductivity · Physics 2007-05-23 Inanc Adagideli , Philippe Jacquod

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

We discuss the evolution of the local quasiparticle spectral density and the related tunneling conductance measurable by the scanning tunneling microscope, as a function of distance r and angle \theta from the vortex core in a d_{x^2-y^2}…

Superconductivity · Physics 2009-10-31 M. Franz , Z. Tesanovic

On the basis of the Bogoliubov-de Gennes theory for the two-dimensional extended Hubbard model, the vortex structure in d-wave superconductors is investigated including the contribution of the induced incommensurate antiferromagnetism…

Superconductivity · Physics 2007-05-23 Mitsuaki Takigawa , Masanori Ichioka , Kazushige Machida

Vortex structure of pure $d_{x^2-y^2}$-wave superconductors is microscopically analyzed in the framework of the quasi-classical Eilenberger equations. Selfconsistent solution for the $d$-wave pair potential is obtained for the first time in…

supr-con · Physics 2009-10-28 M. Ichioka , N. Hayashi , N. Enomoto , K. Machida

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

The quasiparticle states found in the vortex core of a high-T$_{\rm{c}}$ cuprate superconductor may be probed by scanning tunneling spectroscopy. Results of such experiments have revealed typical spectra that are quite different from what…

Superconductivity · Physics 2015-03-19 Mikael Fogelstrom

We discuss the physics of the vortex state in a $d$-wave superconductor, using the phenomenological Ginzburg-Landau theory, where many novel phenomena arise from the small admixture of the $s$-wave component induced by spatial variations in…

Condensed Matter · Physics 2009-10-28 M. Franz , C. Kallin , P. I. Soininen , A. J. Berlinsky , A. L. Fetter

The Kondo effects of an Anderson impurity embedded into a d-wave superconductor is studied. Within the slave-boson mean-field approach, the derived Bogoliubov-de Gennes equations are solved via exact diagonalization. We show that a critical…

Superconductivity · Physics 2009-10-31 Jian-Xin Zhu , C. S. Ting

The local density of states (LDOS) at one of the vortex lattice cores in a high Tc superconductor is studied by using a self-consistent mean field theory including interactions for both antiferromagnetism (AF) and d-wave superconductivity…

Superconductivity · Physics 2009-11-07 Jian-Xin Zhu , C. S. Ting

The quasiparticle excitation spectrum of isolated vortices in clean layered d-wave superconductors is calculated. A large peak in the density of states in the "pancake" vortex core is found, in an agreement with the recent experimental data…

Superconductivity · Physics 2007-05-23 Irena Knezevic , Zoran Radovic

On the basis of the Bogoliubov--de Gennes theory we study the transformation of the quasiparticle spectrum in the mixed state of a mesoscopic superconductor, governed by an external magnetic field. We analyze the low energy part of the…

Superconductivity · Physics 2008-07-14 A. S. Mel'nikov , D. A. Ryzhov , M. A. Silaev

Since the experimental formation of a vortex with a fractional quantized magnetic flux in a thin superconducting $s$-wave bi-layer was recently reported, we calculate the local density of states (LDOS) around two half quantum vortices in a…

Superconductivity · Physics 2019-05-01 Yuki Nagai , Yusuke Kato

We theoretically study physical properties of the low-energy quasiparticle excitations at the vortex core in the full-gap superconducting state of the Kondo lattice coupled to compensated metals. Based on the mean-field description of the…

Superconductivity · Physics 2020-08-10 Shoma Iimura , Motoaki Hirayama , Shintaro Hoshino

We demonstrate that discrepancies between predicted low-energy quasiparticle properties in disordered 2D d-wave superconductors occur because of the unanticipated importance of disorder model details and normal-state particle-hole symmetry.…

Superconductivity · Physics 2009-10-31 W. A. Atkinson , P. J. Hirschfeld , A. H. MacDonald , K. Ziegler

Besides the well-known existence of Andreev bound states, the zero-energy local density of states at the boundary of a d-wave superconductor strongly depends on the boundary geometry itself. In this work, we examine the influence of both a…

Superconductivity · Physics 2016-08-31 C. Iniotakis , S. Graser , T. Dahm , N. Schopohl

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

Based on a phenomenological model with $s_{\pm}$ or s-wave pairing symmetry, the mixed-state effect on quasiparticle interference in iron-based superconductors is investigated by solving large-scale Bogoliubov-de Gennes equations based on…

Superconductivity · Physics 2015-06-05 Yi Gao , Huaixiang Huang , Peiqing Tong

We show that gapless superconductivity of a strongly type-II superconductor in a high magnetic field prevails in the presence of disorder, suggesting a topological nature. We calculate the density of states of the Bogoliubov-de Gennes…

Superconductivity · Physics 2009-10-31 P. D. Sacramento