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Related papers: Single Impurity Problem in Iron-Pnictide Supercond…

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The electronic structure around an impurity in spin triplet p-wave superconductors is studied by the Bogoliubov-de Gennes theory on a tight-binding model, where we have chosen $\sin{p_x}{+}{\rm i}\sin{p_y}$-wave or $\sin{(p_x+p_y)}{+}{\rm…

Superconductivity · Physics 2007-05-23 Mitsuaki Takigawa , Masanori Ichioka , Kazuhiko Kuroki , Yukio Tanaka

The role of self-consistency in Bogoliubov-de Gennes equations is frequently underestimated in the investigation of in-gap states created by magnetic impurities in s-wave superconductors. Our research focuses on the impact of…

Superconductivity · Physics 2024-02-05 Divya Jyoti , Deung-Jang Choi , Nicolas Lorente

Effects of disorder on electron-doped iron pnictides are investigated systematically based on self-consistent Bogoliubov-de Gennes equations. Multiply impurities with same scattering potential (SP) are randomly distributed in a square…

Superconductivity · Physics 2015-02-26 Huaixiang Huang , Shuchao Zhang , Yi Gao , Wei Ren

We theoretically study the appearance of bound states around impurities in a superconducting bilayer. We focus our attention on $s$-wave pairing, which includes unconventional odd-parity states permitted by the layer degree of freedom.…

Superconductivity · Physics 2023-04-20 Yufei Zhu , Nico A. Hackner , P. M. R. Brydon

The effect of impurities on a superconductor with Bogoliubov Fermi surfaces (BFSs) is studied using a realistic tight-binding model. Based on the band structure composed of $d$-orbitals in tetragonal FeSe, whose S-doped sample is a…

Superconductivity · Physics 2025-10-07 Tatsuya Miki , Hiroaki Ikeda , Shintaro Hoshino

In conventional s-wave superconductors, only magnetic impurities exhibit impurity bound states, whereas for an s+- order parameter they can occur for both magnetic and non-magnetic impurities. Impurity bound states in superconductors can…

We investigate theoretically non-magnetic impurity scattering in a one-dimensional atomic topological superfluid in harmonic traps, by solving self-consistently the microscopic Bogoliubov-de Gennes equation. In sharp contrast to…

Quantum Gases · Physics 2013-01-22 Xia-Ji Liu

The local quasiparticle spectra around the vortex core of a d-wave superconductor in the mixed state is studied by solving the lattice Bogoliubov-de Gennes equations self-consistently. It is shown that in addition to the zero-energy states,…

Superconductivity · Physics 2007-05-23 Jian-Xin Zhu , C. S. Ting , A. V. Balatsky

In contrast to most microscopic theories of superconductivity based on the reciprocal space, the Bogoliubov-de Gennes (BdG) formalism provides a real-space alternative for addressing inhomogeneous systems. In this article, we study the…

Superconductivity · Physics 2023-12-21 Germán E. López , Chumin Wang

Magnetic impurities at surfaces of superconductors can induce bound states referred to as Yu-Shiba-Rusinov (YSR) states within superconducting gaps. Understanding of YSR states with spin-orbit coupling (SOC) plays a pivotal role in studies…

Superconductivity · Physics 2021-09-14 Kyungwha Park , Bendeguz Nyari , Andras Laszloffy , Laszlo Szunyogh , Balazs Ujfalussy

We propose that impurity-induced electronic nematic state is realized above the orthorhombic structure transition temperature $T_S$ in iron-pnictide superconductors. In the presence of strong orbital fluctuations near $T_S$, it is…

Strongly Correlated Electrons · Physics 2012-07-25 Yoshio Inoue , Youichi Yamakawa , Hiroshi Kontani

Significant research has recently been conducted into the Yu-Shiba-Rusinov (YSR) states in kagome superconductors through theoretical modeling and experimental investigations. However, additional efforts are still needed to further…

Superconductivity · Physics 2024-09-02 Shuaibo Ding , Yunfei Bai , A. A. Bulekov , Wenhui Zhang , A. A. Shanenko , Yajiang Chen

We perform large-scale numerical calculations self-consistently solving the Bogoliubov-de Gennes (BdG) equations in the magnetic field together with random impurities to directly demonstrate the typical quasi-particle interference (QPI) in…

Superconductivity · Physics 2012-03-23 Yuki Nagai , Noriyuki Nakai , Masahiko Machida

The effect of non-magnetic impurities on 2D s-wave superconductors is studied beyond the weak disorder regime. Within the Bogoliubov-de Gennes (BdG) framework, the local pairing amplitude develops a broad distribution with significant…

Superconductivity · Physics 2009-10-31 Amit Ghosal , Mohit Randeria , Nandini Trivedi

We consider the superconducting state of $d+s$ symmetry with finite concentration of Anderson impurities in the limit $\Delta_s/\Delta_d \ll 1$. The model consists of a BCS-like term in the Hamiltonian and the Anderson impurity treated in…

Superconductivity · Physics 2010-12-20 L. S. Borkowski

We have implemented the Bogoliubov-de Gennes (BdG) equation in a screened Korringa-Kohn- Rostoker (KKR) method for solving, self-consistently, the superconducting state for 3d crystals including substitutional impurities. In this report we…

Superconductivity · Physics 2022-02-02 Tom G. Saunderson , James F. Annett , Gábor Csire , Martin Gradhand

We propose a set of variational wavefunctions for the sub-gap spin-doublet and spin-singlet eigenstates of the particle-hole symmetric superconducting Anderson impurity model. The wavefunctions include up to two Bogoliubov quasiparticles in…

Superconductivity · Physics 2025-07-09 Teodor Iličin , Rok Žitko

Recently a hybrid s+g-wave pairing is proposed to describe the experimental observation for a nodal structure of the superconducting gap in borocarbide YNi$_2$B$_2$C and possibly LuNi$_2$B$_2$C. In this paper the impurity effects on the…

Superconductivity · Physics 2009-11-10 Qingshan Yuan , Hong-Yi Chen , H. Won , S. Lee , K. Maki , P. Thalmeier , C. S. Ting

The effects of a single non-magnetic impurity on superconducting states in the Penson-Kolb-Hubbard model have been analyzed. The investigations have been performed within two steps: (i) the homogeneous system is analysed using the…

Superconductivity · Physics 2015-03-17 Andrzej Ptok , Konrad Jerzy Kapcia

We explore theoretically impurity states in the antiferromagnetic spin-density wave state of the iron arsenide. Two types of impurity models are employed: one has only the intraband scattering while the other has both the intraband and…

Superconductivity · Physics 2009-11-13 Q. Han , Z. D. Wang