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Nodal noncentrosymmetric superconductors have topologically nontrivial properties manifested by protected zero-energy surface states. Specifically, it was recently found that zero-energy surface flat bands of topological origin appear at…

Superconductivity · Physics 2012-01-13 Andreas P. Schnyder , P. M. R. Brydon , Carsten Timm

We study in-gap electronic states induced by a nonmagnetic defect with short-range potential in two-dimensional topological insulators and trace their evolution as the distance between the defect and the boundary changes. The defect located…

Mesoscale and Nanoscale Physics · Physics 2015-02-13 Vladimir A. Sablikov , Aleksei A. Sukhanov

The $\phi^4$ model is coupled to an impurity in a way that preserves one-half of the BPS property. This means that the antikink-impurity bound state is still a BPS solution, i.e., a zero-pressure solution saturating the topological energy…

High Energy Physics - Theory · Physics 2019-05-01 C. Adam , T. Romanczukiewicz , A. Wereszczynski

The topological sigma model with the semi-infinite cigar-like target space (black hole geometry) is considered. The model is shown to possess unsuppressed instantons. The noncompactness of the moduli space of these instantons is responsible…

High Energy Physics - Theory · Physics 2010-11-01 A. V. Yung

In this paper we present detailed study of the density of states near defects in Bi$_2$Se$_3$. In particular, we present data on the commonly found triangular defects in this system. While we do not find any measurable quasiparticle…

Topological phases are characterised by a topological invariant that remains unchanged by deformations in the Hamiltonian. Materials exhibiting topological phases include topological insulators, superconductors exhibiting strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-07-08 Dimitrie Culcer , Attila Geresdi

The quantum coherent coupling of completely different degrees of freedom is a challenging path towards creating new functionalities for quantum electronics. Usually the antagonistic coupling between spins of magnetic impurities and…

Disorder inevitably exists in realistic samples, manifesting itself in various exotic properties for the topological states. In this paper, we summarize and briefly review work completed over the last few years, including our own, regarding…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Binglan Wu , Juntao Song , Jiaojiao Zhou , Hua Jiang

This paper presents a complex band analysis of one-dimensional (1D) square and high-root topological insulators (HRTIs). We show that edge-state bands of HRTIs are sliced sections of impurity bands of a uniform tight-binding chain. A…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 R. G. Dias , L. Madail , A. M. Marques

Based on the five-orbital model, we study the effect of local impurity in iron pnictides, and find that the interband impurity scattering is promoted by the d-orbital degree of freedom. This fact means that the fully-gapped sign-reversing…

Superconductivity · Physics 2015-05-13 Seiichiro Onari , Hiroshi Kontani

We study the effects of random nonmagnetic impurities on the superconducting transition temperature $T_c$ in a two-band superconductor, where we assume the equal-time spin-singlet s-wave pair potential in each conduction band and the…

Superconductivity · Physics 2018-06-20 Yasuhiro Asano , Alexander A. Golubov

The modeling of finite-extent semiconductor nanostructures that are embedded in a host material requires the numerical treatment of the boundary in a finite simulation domain. For the study of a self-assembled InAs dot embedded in GaAs,…

Materials Science · Physics 2009-11-10 Seungwon Lee , Fabiano Oyafuso , Paul von Allmen , Gerhard Klimeck

We study the quasiparticle spectrum of 2D topological $s$-wave superconductors with the Zeeman magnetic field and the Rashba spin-orbit coupling in the presence of spatial inhomogeneity. Solving the real-space Bogoliubov-de Gennes…

Superconductivity · Physics 2015-06-22 Yuki Nagai , Yukihiro Ota , Masahiko Machida

The structure of the order parameter and the excitation spectrum are investigated for isolated impurities in d-wave superconductors. Atomic scale impurities, or defects, scatter quasiparticles and lead to local suppression (pair-breaking)…

Superconductivity · Physics 2024-10-24 D. C. Chen , D. Rainer , J. A. Sauls

An important characteristic of topological band insulators is the necessary presence of in-gap edge states on the sample boundary. We utilize this fact to show that when the boundary is reconnected with a twist, there are always zero-energy…

Strongly Correlated Electrons · Physics 2009-11-13 Dung-Hai Lee , Guang-Ming Zhang , Tao Xiang

Topological insulators are bulk semiconductors that manifest in-gap massless Dirac surface states due to the topological bulk-boundary correspondence principle [1-3]. These surface states have been a subject of tremendous ongoing interest,…

We predict a universal mid-gap bound state in topological superfluids, induced by either non-magnetic or magnetic impurities in the strong scattering limit. This universal state is similar to the lowest-energy Caroli-de Gennes-Martricon…

Quantum Gases · Physics 2013-02-04 Hui Hu , Lei Jiang , Han Pu , Yan Chen , Xia-Ji Liu

Applying a microscopic model, we study theoretically the quasiparticle excitation of a twodimensional topological insulator (TI) being in proximity to a high-Tc superconductor. In the momentum space, the proximity induced pairing term in…

Superconductivity · Physics 2021-03-02 Yu-Xuan Li , Tao Zhou

The quasiparticle states around a nonmagnetic impurity in electron-doped iron-based superconductors with spin-density-wave (SDW) order are investigated as a function of doping and impurity scattering strength. In the undoped sample, where a…

Superconductivity · Physics 2011-06-07 Tao Zhou , Huaixiang Huang , Yi Gao , Jian-Xin Zhu , C. S. Ting

We consider a model describing a system where the superconductivity competes with the overscreened Kondo effect. The model consists of a single spin$-\frac{1}{2}$ quantum impurity at the edge of a quantum wire where spin$-1$ bulk fermions…

Strongly Correlated Electrons · Physics 2025-07-21 Pradip Kattel , Abay Zhakenov , Natan Andrei
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