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We study the impurity states in bilayer graphene in the unitary limit using Green's function method. Unlike in single layer graphene, the presence of impurities at two non-equivalent sites in bilayer graphene produce different impurity…

Strongly Correlated Electrons · Physics 2009-11-13 Hari P. Dahal , A. V. Balatsky , Jian-Xin Zhu

We study the Kondo physics of a quantum magnetic impurity in two-dimensional topological superconductors (TSCs), either intrinsic or induced on the surface of a bulk topological insulator, using a numerical renormalization group technique.…

Superconductivity · Physics 2019-03-06 Rui Wang , W. Su , Jian-Xin Zhu , C. S. Ting , Hai Li , Changfeng Chen , Baigeng Wang , Xiaoqun Wang

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

In insulating crystals, it was previously shown that defects with two fewer dimensions than the bulk can bind topological electronic states. We here further extend the classification of topological defect states by demonstrating that the…

Mesoscale and Nanoscale Physics · Physics 2022-10-07 Frank Schindler , Stepan S. Tsirkin , Titus Neupert , B. Andrei Bernevig , Benjamin J. Wieder

Topology is a fundamental aspect of quantum physics, and it has led to key breakthroughs and results in various fields of quantum materials. In condensed matters, this has culminated in the recent discovery of symmetry-protected topological…

Materials Science · Physics 2023-10-24 Baokai Wang , Yi-Chun Hung , Xiaoting Zhou , Tzen Ong , Hsin Lin

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

We consider an integrable model describing an Anderson-like impurity coupled to an open $t$--$J$ chain. Both the hybridization (i.e. its coupling to bulk chain) and the local spectrum can be controlled without breaking the integrability of…

Strongly Correlated Electrons · Physics 2007-05-23 Holger Frahm , Guillaume Palacios

The formation of bound states between mobile impurity particles and fermionic atoms has been demonstrated in spin-polarized Fermi gases with attractive interspecies interaction. We investigate bound states of mobile impurities immersed in a…

We study the vibrational spectrum of a constrained classical ring. Due to the presence of 2-order exceptional points, a topologically trivial band at the infinity can make the vibrational band topologically nontrivial. The symmetry, which…

Mesoscale and Nanoscale Physics · Physics 2021-11-23 Ye Xiong

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel

We theoretically study the spectrum induced by one and two magnetic impurities near the boundary of a one-dimensional nanowire in proximity to a conventional $s$-wave superconductor and extract the ground state magnetic configuration. We…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Oindrila Deb , Silas Hoffman , Daniel Loss , Jelena Klinovaja

We theoretically address the impact of a random distribution of non-magnetic impurities on the surface states formed at the interface between a trivial and a topological insulator. The interaction of electrons with the impurities is…

Mesoscale and Nanoscale Physics · Physics 2020-10-15 José Luis Hernando , Yuriko Baba , Elena Díaz , Francisco Domínguez-Adame

The absence of localization of impurity-induced low-energy quasiparticle states in a two-dimensional $d$-wave superconductor is argued for any amount of disorder in the limit of unitary scatterers. This surprising result follows from the…

Condensed Matter · Physics 2009-10-28 A. V. Balatsky , M. I. Salkola

We study the formation of magnetic states in localized impurities embedded into two-dimensional semiconductors. By considering various energy configurations, we illustrate the interplay of the gap and the bands in the system magnetization.…

Mesoscale and Nanoscale Physics · Physics 2018-06-27 Aleksandr Rodin , Antonio Helio Castro Neto

Controlling topological phases is a central goal in quantum materials and related fields, enabling applications such as robust transport and programmable edge states. Here we uncover a mechanism in which local on-site impurities act as…

Mesoscale and Nanoscale Physics · Physics 2025-10-28 Tianxing Shi , Chuhang Zhang , Liang Jin , Linhu Li

We report a bound state of the one-dimensional two-particle (bosonic or fermionic) Hubbard model with an impurity potential. This state has the Bethe-ansatz form, although the model is nonintegrable. Moreover, for a wide region in parameter…

Disordered Systems and Neural Networks · Physics 2017-05-23 J. M. Zhang , Daniel Braak , Marcus Kollar

We investigate bound states in the one-dimensional two-particle Bose-Hubbard model with an attractive ($V> 0$) impurity potential. This is a one-dimensional, discrete analogy of the hydrogen negative ion H$^-$ problem. There are several…

Quantum Gases · Physics 2013-02-19 J. M. Zhang , Daniel Braak , Marcus Kollar

Magnetic superconductors define a broad class of strongly correlated materials in which superconductivity may coexist with either localized or itinerant long-range magnetic order. In this work we consider a multiband model of a disordered…

Superconductivity · Physics 2022-12-02 Maxim Dzero , Alex Levchenko

We examine the effect of a single, non-magnetic impurity in a multiband, extended s-wave superconductor allowing for anisotropy of the gaps on the Fermi surfaces. We derive analytic expressions for the Green's functions in the continuum and…

Superconductivity · Physics 2015-06-11 R. Beaird , I. Vekhter , Jian-Xin Zhu

We investigate the effect of magnetic impurities on the local quasiparticle density of states (LDOS) in iron-based superconductors. Employing the two-orbital model where 3$d$ electron and hole conduction bands are hybridizing with the…

Superconductivity · Physics 2010-01-26 Alireza Akbari , Ilya Eremin , Peter Thalmeier