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Topological insulators are a new class of insulators in which a bulk gap for electronic excitations is generated by strong spin orbit coupling. These novel materials are distinguished from ordinary insulators by the presence of gapless…

We address the question of whether individual nonmagnetic impurities can induce zero-energy states in time-reversal-invariant topological superconductors, and define a class of symmetries which guarantee the existence of such states for a…

Superconductivity · Physics 2015-06-10 Lukas Kimme , Timo Hyart , Bernd Rosenow

Topological insulators have remained as candidates for future electronic devices since their first experimental realization in the past decade. The existence of topologically protected edge states could be exploited to generate a robust…

Mesoscale and Nanoscale Physics · Physics 2023-09-15 Armando Pezo , Felipe Crasto de Lima , Adalberto Fazzio

Chiral Majorana one-dimensional modes have been proposed as they key component for topological quantum computing. In this study, we explore their potential realization as hinge modes in higher-order topological superconductors. To create…

Mesoscale and Nanoscale Physics · Physics 2023-10-16 Ilyoun Na , James G. McHugh , Sinéad M. Griffin , Luca Chirolli

We describe a class of parity- and time-reversal-invariant topological states of matter which can arise in correlated electron systems in 2+1-dimensions. These states are characterized by particle-like excitations exhibiting exotic braiding…

Strongly Correlated Electrons · Physics 2011-06-07 Michael Freedman , Chetan Nayak , Kirill Shtengel , Kevin Walker , Zhenghan Wang

Three dimensional topological insulators are bulk insulators with $\mathbf{Z}_2$ topological electronic order that gives rise to conducting light-like surface states. These surface electrons are exceptionally resistant to localization by…

Mesoscale and Nanoscale Physics · Physics 2017-03-07 Yishuai Xu , Janet Chiu , Lin Miao , Haowei He , Zhanybek Alpichshev , A. Kapitulnik , Rudro R. Biswas , L. Andrew Wray

We show that a chain of nonmagnetic impurities deposited on a fully gapped two- or three-dimensional superconductor can become a topological one-dimensional superconductor with protected Majorana bound states at its end. A prerequisite is…

Superconductivity · Physics 2016-03-22 Titus Neupert , Ali Yazdani , B. Andrei Bernevig

Recently, it has been suggested that topological superconductivity and Majorana end states can be realized in a chain of magnetic impurities on the surface of an s-wave superconductor when the magnetic moments form a spin helix as a result…

Mesoscale and Nanoscale Physics · Physics 2013-10-17 Falko Pientka , Leonid I. Glazman , Felix von Oppen

A theory of magnetic impurities in a 2D electron gas quantized by a strong magnetic field is formulated in terms of Friedel-Anderson theory of resonance impurity scattering. It is shown that this scattering results in an appearance of bound…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Dahan , V. Fleurov , K. Kikoin , I. D. Vagner

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

We study impurity bound states and impurity-induced order in the superconducting state of LiFeAs within a realistic five-band model based on the band structure and impurity potentials obtained from density functional theory (DFT). In…

Superconductivity · Physics 2014-03-11 Maria N. Gastiasoro , P. J. Hirschfeld , Brian M. Andersen

We study the electronic structure near impurities in the one-dimensional chains of YBa$_2$Cu$_3$O$_{6+x}$. Assuming chain superconductivity below $T_c$ due to a proximity coupling, we show that only a magnetic impurity induces resonance…

Strongly Correlated Electrons · Physics 2007-05-23 Dirk K. Morr , Alexander V. Balatsky

Topological materials exhibit protected edge modes that have been proposed for applications in for example spintronics and quantum computation. While a number of such systems exist, it would be desirable to be able to test theoretical…

Mesoscale and Nanoscale Physics · Physics 2018-10-15 Robert Drost , Teemu Ojanen , Ari Harju , Peter Liljeroth

Topological magnetic lattices offer a fertile ground for exploring fundamental physics and developing novel spintronic devices. However, current research is predominantly confined to single-Q topologies hosting uniform type of…

Materials Science · Physics 2026-02-10 Xiudong Wang , Zhonglin He , Kaiying Dou , Ying Dai , Baibiao Huang , Yandong Ma

The chiral topological superconductor in two dimensions has a full pairing gap in the bulk and a single chiral Majorana state at the edge. The vortex of the chiral superconducting state carries a Majorana zero mode which is responsible for…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Xiao-Liang Qi , Taylor L. Hughes , Shou-Cheng Zhang

We study states in the superconducting gap induced by magnetic impurities using self-consistent quantum Monte Carlo with maximum entropy and formally exact analytic continuation methods. The magnetic impurity susceptibility has different…

Condensed Matter · Physics 2009-10-28 Woonki Chung , Mark Jarrell

Ingap states are commonly observed in semiconductors and are often well characterized by a hydrogenic model within the effective mass approximation. However, when impurities are strong, they significantly perturb all momentum eigenstates,…

Mesoscale and Nanoscale Physics · Physics 2024-06-07 Raquel Queiroz , Roni Ilan , Zhida Song , B. Andrei Bernevig , Ady Stern

We study the effects of quantum interference in impurity structures consisting of two or three magnetic impurities that are located on the surface of an s-wave superconductor. By using a self-consistent Bogoliubov-de Gennes formalism, we…

Superconductivity · Physics 2009-11-11 Dirk K. Morr , Jaesung Yoon

We study the physics of a mobile impurity immersed in a $1d$ topological superconductor. We discuss the system's phase diagram obtained with exact diagonalization. We argue that the character of the transition from a weak to strong coupling…

Strongly Correlated Electrons · Physics 2025-05-16 A. V. Sadovnikov , M. S. Bahovadinov , A. N. Rubtsov , A. A. Markov

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
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