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The surface states of a topological insulator are described by an emergent relativistic massless Dirac equation in 2+1 dimensions. In contrast to graphene, there is an odd number of Dirac points, and the electron spin is directly coupled to…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Qin Liu , Chao-Xing Liu , Cenke Xu , Xiao-Liang Qi , Shou-Cheng Zhang

Scattering by a single impurity introduced in a strongly correlated electronic system is studied by exact diagonalization of small clusters. It is shown that an inert site which is spinless and unable to accomodate holes can give rise to…

Condensed Matter · Physics 2009-10-22 D. Poilblanc , W. Hanke , D. J. Scalapino

We consider an "impurity" with a spin degree of freedom coupled to a finite reservoir of non-interacting electrons, a system which may be realized by either a true impurity in a metallic nano-particle or a small quantum dot coupled to a…

Mesoscale and Nanoscale Physics · Physics 2009-08-06 R. K. Kaul , D. Ullmo , G. Zarand , S. Chandrasekharan , H. U. Baranger

Unconventional features in superconductivity are revealed by responses to impurity scattering. We study non-magnetic impurity effects in a three-dimensional topological superconductor, focusing on an effective model (massive Dirac…

Superconductivity · Physics 2014-11-06 Yuki Nagai , Yukihiro Ota , Masahiko Machida

We consider a model of an Anderson impurity embedded in a $d_{x^2-y^2}$-wave superconducting state to describe the low-energy excitations of cuprate superconductors doped with a small amount of magnetic impurities. Due to the Dirac-like…

Strongly Correlated Electrons · Physics 2013-01-24 Guang-Ming Zhang , Hui Hu , Lu Yu

We study the problem of non-magnetic impurities adsorbed on bilayer graphene in the diluted regime. We analyze the impurity spectral densities for various concentrations and gate fields. We also analyze the effect of the adsorbate on the…

Mesoscale and Nanoscale Physics · Physics 2019-02-04 H. P. Ojeda Collado , Gonzalo Usaj , C. A. Balseiro

We have studied the static and dynamic properties of quasi-two-dimensional quantum antiferromagnets (AF) diluted with spinless impurities using spin-wave theory and $T$-matrix approximation. We show that the spectrum of a 2D AF at long…

Strongly Correlated Electrons · Physics 2009-11-07 A. L. Chernyshev , Y. C. Chen , A. H. Castro Neto

The effect of a magnetic (S=1/2) impurity coupled to a 2D system of correlated electrons (described by the t--J model) is studied by exact diagonalisations. It is found that, if the exchange coupling of the impurity with the neighboring…

Condensed Matter · Physics 2016-08-31 D. Poilblanc , D. J. Scalapino , W. Hanke

By means of numerical simulation we confirm that in graphene with point defects a quasigap opens in the vicinity of the resonance state with increasing impurity concentration. We prove that states inside this quasigap cannot longer be…

Disordered Systems and Neural Networks · Physics 2015-05-13 S. S. Pershoguba , Yu. V. Skrypnyk , V. M. Loktev

A finite photonic lattice with two bands and a random gap is considered. Using a two-dimensional Dirac equation, the effect of a random sign of the Dirac mass is studied numerically. The edge state at the sample boundary has a strong…

Disordered Systems and Neural Networks · Physics 2017-08-29 K. Ziegler

Starting from the Luttinger-Ward functional we derive an expression for the oscillatory part of the grand potential of a two dimensional Dirac system in a magnetic field. We perform the computation for the clean and the disordered system,…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Carolin Kueppersbusch , Lars Fritz

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

We examine the role of order-parameter suppression in the development of low-energy peaks (i.e., resonances) in the tunneling density of states near a non-magnetic impurity in a d-wave superconductor. Without order-parameter suppression,…

Superconductivity · Physics 2007-05-23 Alexander Shnirman , Inanc Adagideli , Paul M. Goldbart , Ali Yazdani

We study the dynamics of a non-magnetic impurity interacting with the surface states of a 3D and 2D topological insulator. Employing the linked cluster technique we develop a formalism for obtaining the Greens function of the mobile…

Strongly Correlated Electrons · Physics 2020-08-26 Ajit Kumar Sorout , Surajit Sarkar , Suhas Gangadharaiah

The interrelation between disorder and interactions in two dimensional electron liquid is studied beyond weak coupling perturbation theory. Strong repulsion significantly reduces the electronic density of states on the Fermi level. This…

Disordered Systems and Neural Networks · Physics 2007-05-23 B. Rosenstein , Tran Minh-Tien

We consider magnetic impurities in a two dimensional superfluid Fermi gas in the presence of spin-orbit coupling. By using the methods of t-matrix and Green's function, we find spin-orbit coupling has some dramatic impacts on the effects of…

Quantum Gases · Physics 2013-01-07 Zhongbo Yan , Xiaosen Yang , Liang Sun , Shaolong Wan

A strong nonmagnetic impurity can induce a resonance state in the d-wave superconducting state. As far as magnetic properties are concerned, this resonance state behaves effectively like a free moment. It leads to a Curie-Weiss-like…

Superconductivity · Physics 2007-05-23 J. Chang , Y. H. Su , H. G. Luo , H. T. Lu , T. Xiang

We investigate the effects of bulk impurities on the electronic spectrum of Weyl semimetals, a recently identified class of Dirac-type materials. Using a $T$-matrix approach, we study resonant scattering due to a localized impurity in tight…

Strongly Correlated Electrons · Physics 2013-04-16 Zhoushen Huang , Tanmoy Das , Alexander V. Balatsky , Daniel P. Arovas

We study the role of impurities in a two-band superconductor, and elucidate the nature of the recently predicted transition from s_{+-} state to s_{++} state induced by interband impurity scattering. Using a Ginzburg-Landau theory, derived…

Superconductivity · Physics 2014-04-14 Valentin Stanev , Alexei E. Koshelev

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