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Using high-resolution scanning tunneling microscopy, we reveal two distinct types of superconducting (SC) gap modulations in bulk superconductor FeTe$_{0.55}$Se$_{0.45}$. By analyzing the phase relation between modulations at positive and…

Superconductivity · Physics 2025-12-02 Zhiyong Hou , Zhiyuan Shang , Wen Duan , Wei Xie , Huan Yang , Hai-Hu Wen

We propose the ``pair-breaking scattering interference" as a general source of coherence peak modulations in superconductors. Assuming this mechanism, we present a simple physical picture for the coherence peak modulations in overdoped…

Superconductivity · Physics 2024-12-16 Zhi-Qiang Gao , Yu-Ping Lin , Dung-Hai Lee

Superconducting states that break space-group symmetries of the underlying crystal can exhibit nontrivial spatial modulation of the order parameter. Previously, such remarkable states were intimately associated with the breaking of…

Typical BCS superconductors are microscopically homogeneous in real space governed by the coherent Cooper pairs with high phase stiffness of superfluid density, which is characterized by a coherence length. However, a periodic oscillation…

Superconductivity · Physics 2024-06-13 Yao Zhang , Lianzhi Yang , Chaofei Liu , Wenhao Zhang , Ying-Shuang Fu

In his seminal work published in Acta Physica Sinica in 1965, Yu Lu pointed out that the superconducting gap exhibits weak modulations near the pair-breaking magnetic impurity in a superconductor. In the past ten years, a series of…

Superconductivity · Physics 2024-08-07 Jia-Xin Yin , Qianghua Wang

We model the quasiparticle interference (QPI) pattern in the recently discovered (K,Tl)Fe_xSe2 superconductors. We show in the superconducting state that, due to the absence of hole pockets at the Brillouin zone center, the quasiparticle…

Superconductivity · Physics 2015-05-30 Jian-Xin Zhu , A. R. Bishop

In a Josephson junction involving multi-band superconductors, competition between inter-band and inter-junction Josephson coupling gives rise to frustration and spatial disjunction of superfluid densities among superconducting condensates.…

Superconductivity · Physics 2025-07-23 Nileema Sharma , Matthew Toole , James McKenzie , Sheng Ran , Xiaolong Liu

The density of states modulation recently observed by the scanning tunneling microscopic experiment in the pseudogap state of high-$T_c$ superconductors is explained by the pairing assisted particle transitions under perturbation of a…

Superconductivity · Physics 2009-10-23 Xin-Zhong Yan

We study the momentum-integrated quasiparticle interference (QPI) in the FeSe-based superconductors. This method was recently proposed theoretically and has been applied to determine the pairing symmetry in these materials experimentally.…

Superconductivity · Physics 2019-01-01 Yi Gao , Yuting Wang , Tao Zhou , Huaixiang Huang , Qiang-Hua Wang

Among the family of topological superconductors derived from {\BiSe}, $\mathrm{Cu}_x(\mathrm{PbSe})_{5}(\mathrm{Bi}_{2}\mathrm{Se}_{3})_{6}$ is unique in its surface termination of a single quintuple layer (QL) of the topological insulator…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Mahasweta Bagchi , Philipp Rüßmann , Gustav Bihlmayer , Stefan Blügel , Yoichi Ando , Jens Brede

Pair density modulation is a superconducting state, recently observed in exfoliated iron-based superconductor flakes, in which the superconducting gap oscillates strongly with the same periodicity as the underlying crystalline lattice. We…

Superconductivity · Physics 2025-06-26 Michał Papaj , Lingyuan Kong , Stevan Nadj-Perge , Patrick A. Lee

Tunneling spectroscopy of superconductors provides valuable insights into gap symmetry, quasiparticle dynamics, and pairing mechanisms. This paper explores spatial patterns of quasiparticle interference in the tunneling density of states…

Superconductivity · Physics 2025-03-21 Archisman Panigrahi , Vladislav Poliakov , Leonid Levitov

Cooper-pair density modulation (CPDM) states are superconducting phases in which the order parameter varies periodically in real space without breaking translational symmetry. Recently, moire superlattices in layered materials have emerged…

We propose that the energy-dependent spatial modulation of the local density of states seen by Hoffman, et al [hoff2] is due to the scattering interference of quasiparticles. In this paper we present the general theoretical basis for such…

Superconductivity · Physics 2009-11-07 Qiang-Hua Wang , Dung-Hai Lee

Scanning tunneling spectroscopy of the high-Tc superconductor Bi2Sr2CaCu2O8+d reveals weak, incommensurate, spatial modulations in the tunneling conductance. Images of these energy-dependent modulations are Fourier analyzed to yield the…

Superconductivity · Physics 2009-11-07 J. E. Hoffman , K. McElroy , D. -H. Lee , K. M Lang , H. Eisaki , S. Uchida , J. C. Davis

Unconventional superconductors that spontaneously break space-group symmetries of their underlying crystal lattice are distinguished by spatial modulations of the superconducting order parameter. These states have recently captured…

The quasiparticle scattering interference (QSI) is intimately related to the nature of the quasiparticle and of its interplay with a variety of electronic orders and superconductivity. Here starting from the microscopic octet scattering…

Superconductivity · Physics 2024-10-31 Minghuan Zeng , Xiang Li , Yongjun Wang , Shiping Feng

Junctions and interfaces consisting of unconventional superconductors provide an excellent experimental playground to study exotic phenomena related to the phase of the order parameter. Not only the complex structure of unconventional order…

A crucial step in revealing the nature of unconventional superconductivity is to investigate the symmetry of the superconducting order parameter. Scanning tunneling spectroscopy has proven a powerful technique to probe this symmetry by…

We develop a model for the effect of a magnetic field on quasiparticle interference in an iron-based superconductor. Recently, scanning tunneling experiments have been performed on Fe(Se,Te) to determine the relative sign of the…

Superconductivity · Physics 2011-08-16 Steffen Sykora , Piers Coleman
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