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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

Bound states in superconductors are expected to exhibit a spatially resolved electron-hole asymmetry which is the hallmark of their quantum nature. This asymmetry manifests as oscillations at the Fermi wavelength, which is usually tiny and…

Bound states around an impurity are investigated for a two dimensional electron system in a strong magnetic field. Long-range Coulomb potential and related potentials are considered. Schr\"odinger equation is solved numerically to obtain…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Daijiro Yoshioka

The Hamiltonian for the one-dimensional SSH chain is one of the simplest Hamiltonians that supports topological states. This work considers between one and three finite SSH chains with open boundary conditions that either share a lattice…

Atomic Physics · Physics 2024-01-09 C. I. Kvande , D. B. Hill , D. Blume

Impurity effects are probes for revealing an unconventional property in superconductivity. We study effects of non-magnetic impurities, in a 2D topological superconductor with s-wave pairing, the Rashba spin-orbit coupling, and the Zeeman…

Superconductivity · Physics 2014-08-29 Yuki Nagai , Yukihiro Ota , Masahiko Machida

The indirect exchange interaction between magnetic impurities located in the bulk of a two-dimensional topological insulator decays exponentially with the distance. The indirect exchange interaction for magnetic impurities mediated by the…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 V. D. Kurilovich , P. D. Kurilovich , I. S. Burmistrov

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 solutions to the Lippmann-Schwinger equation in systems where a slow subsystem is coupled to a fast subsystem via an impurity. Such situations appear when a high-frequency Floquet-driven impurity is introduced into a low-energy…

Statistical Mechanics · Physics 2024-01-10 Friedrich Hübner

A few exactly solvable interacting quantum many-body problems with impurities were previously reported to exhibit unusual features such as non-localization and absence of backscattering. In this work we consider the use of these integrable…

Mesoscale and Nanoscale Physics · Physics 2011-11-18 Marion Moliner , Peter Schmitteckert

We consider the effects of magnetic impurities on the surface of superconducting Cu doped $Bi_{2}Se_{3}$ in the odd parity pairing phase which support topologically protected Majorana fermions surface states with linear spectrum. We show…

Superconductivity · Physics 2013-01-11 Ting-Pong Choy , K. T. Law , Tai-Kai Ng

We study the presence of impurity bound states within a five-band Hubbard model relevant to iron-based superconductors. In agreement with earlier studies, we find that in the absence of Coulomb correlations there exists a range of repulsive…

Superconductivity · Physics 2013-10-16 Maria N. Gastiasoro , Brian M. Andersen

We investigate the emergence and consequences of odd-frequency spin-triplet s-wave pairing in superconducting hybrid junctions at the edge of a two-dimensional topological insulator without any magnetism. More specifically, we consider…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Jorge Cayao , Annica M. Black-Schaffer

We analyze the ground state properties of the two-dimensional quantum antiferromagnet with a S=1/2 Kondo impurity. Perturbation theory around the strong Kondo coupling limit is developed and the results compared with studies, based on exact…

Strongly Correlated Electrons · Physics 2009-10-31 V. N. Kotov , J. Oitmaa , O. Sushkov

We study the boundary impurity-induced critical behavior in an integrable SU(2)-invariant model consisting of an open Heisenberg chain of arbitrary spin-$S$ (Takhatajian-Babujian model) interacting with an impurity of spin $\vec{S'}$…

Strongly Correlated Electrons · Physics 2009-10-31 Jian-Hui Dai , Yupeng Wang , U. Eckern

The $s=1$ Heisenberg Antiferromagnet is studied in the presence of two kinds of local impurities. First, a perturbed antiferromagnetic bond with $J'\ne J$ at the center of an even-length open chain is considered. Using the density matrix…

Condensed Matter · Physics 2009-10-22 Erik Sorensen , Ian Affleck

We review recent developments in our understanding of how impurities influence the electronic states in the bulk of superconductors. Our focus is on the quasi-localized states in the vicinity of impurity sites in conventional and…

Superconductivity · Physics 2007-05-23 A. V. Balatsky , I. Vekhter , Jian-Xin Zhu

We study systems of multiple interacting quantum impurities deposited on a metallic surface in a 3D host. For the real-space two-impurity problem, using numerical renormalization group calculations, a rich range of behavior is shown to…

Strongly Correlated Electrons · Physics 2015-06-16 Andrew K. Mitchell , Philip G. Derry , David E. Logan

Nodal-line semimetals are characterized by a kind of topologically nontrivial bulk-band crossing, giving rise to almost flat surface states. Yet, a direct evidence of the surface states is still lacking. Here we study theoretically impurity…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 Tao Zhou , Wei Chen , Yi Gao , Z. D. Wang

We investigate the effective interaction between two localized spin impurities embedded in a frustrated spin-1/2 $J_1\!-\!J_2$ Heisenberg chain. Treating the impurity spins as classical moments coupled locally to the host, we combine…

Strongly Correlated Electrons · Physics 2026-02-25 Maksymilian Kliczkowski , Jakub Grabowski , Maciej M. Maśka

We investigate analytically and numerically the effects of disorder on the helical edge of the 2D topological insulator in the presence of the Zeeman field and superconductivity. Employing bosonization and a renormalization-group analysis,…

Strongly Correlated Electrons · Physics 2026-05-20 Zeinab Bakhshipour , Mir Vahid Hosseini