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More physics at the boundaries of a topological lattice remains to be explored for future applications of topological edge states. This work investigates the stability of topological edge states in the presence of a moving impurity. By…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Baikang Yuan , Jiangbin Gong

The vortex state thermal and transport properties of the high T_c copper oxides can be understood in a d-wave gap model and are dominated by the extended quasiparticle states that exist along the nodal directions in momentum space. The…

Superconductivity · Physics 2009-10-31 E. Schachinger , J. P. Carbotte

We analyze the superconducting instabilities in the vicinity of the quantum-critical point of an inversion symmetry breaking order. We first show that the fluctuations of the inversion symmetry breaking order lead to two degenerate…

Strongly Correlated Electrons · Physics 2016-04-29 Yuxuan Wang , Gil Young Cho , Taylor L. Hughes , Eduardo Fradkin

We study signatures of Majorana zero modes (MZMs) bound to Josephson vortices in superconductor-three-dimensional topological insulator-superconductor (S-TI-S) Josephson junctions placed in a perpendicular magnetic field. First, using…

Mesoscale and Nanoscale Physics · Physics 2025-06-27 Katharina Laubscher , Jay D. Sau

The local quasiparticle spectra around the vortex core of a d-wave superconductor in the mixed state is studied by solving the lattice Bogoliubov-de Gennes equations self-consistently. It is shown that in addition to the zero-energy states,…

Superconductivity · Physics 2007-05-23 Jian-Xin Zhu , C. S. Ting , A. V. Balatsky

Motivated by recent experimental breakthroughs in generating spin-orbit coupling in ultracold Fermi gases using Raman laser beams, we present a systematic study of spin-orbit-coupled Fermi gases confined in a quasi-one-dimensional trap in…

Quantum Gases · Physics 2015-06-19 Lei Jiang , Eite Tiesinga , Xia-Ji Liu , Hui Hu , Han Pu

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

We theoretically study a non-magnetic impurity effect on the vortex bound states of a multi-quantum vortex. The zero-energy peak of the local density of states is investigated for vortex cores with the winding numbers 2 and 4 within the…

Superconductivity · Physics 2015-06-12 Takashi Yamane , Yuki Nagai , K. Tanaka , Nobuhiko Hayashi

Superconductors containing magnetic impurities exhibit intriguing phenomena derived from the competition between Cooper pairing and Kondo screening. At the heart of this competition are the Yu-Shiba-Rusinov (Shiba) states which arise from…

We study the quantum phase transitions driven by a point impurity in a chain seamed with ring frustration. Rich phases and quantum phase transitions are uncovered and characterized by both bulk and impurity correlation functions.…

Strongly Correlated Electrons · Physics 2021-07-22 Han-Chuan Kou , Zhen-Yu Zheng , Peng Li

We study the energy spectrum of a vortex core in a two-dimensional semiconductor with Rashba spin-orbit interaction and proximity-coupled to a conventional superconductor and a ferromagnetic insulator. We perform self-consistent…

Superconductivity · Physics 2013-07-08 Kristofer Björnson , Annica M. Black-Schaffer

When the impurity mean free path is short, only spin-polarized Cooper pairs which are non-locally and antisymmetrically correlated in time may exist in a half-metallic ferromagnet. As a consequence, the half-metal acts as an odd-frequency…

Superconductivity · Physics 2020-10-30 Eirik Holm Fyhn , Jacob Linder

We consider the problem of finding the bound-state spectrum of an impurity immersed in a weakly interacting two-dimensional Bose-Einstein condensate supporting a single vortex. We obtain approximate expressions for the energy levels and…

Quantum Physics · Physics 2020-02-19 João E. H. Braz , H. Terças

We perform self-consistent studies of two-dimensional (2D) $s$-wave topological superconductivity (TSC) with Rashba spin-orbit coupling and Zeeman field by solving the Bogoliubov-de Gennes equations. In particular, we examine the effects of…

Superconductivity · Physics 2017-02-22 S. L. Goertzen , K. Tanaka , Yuki Nagai

Topology in momentum space is the main characteristics of the ground states of a system at zero temperature, the quantum vacua. The gaplessness of fermions in bulk, on the surface or inside the vortex core is protected by topology.…

High Energy Physics - Phenomenology · Physics 2013-08-30 G. E. Volovik

The recent interest in the low-energy states in vortices of semiconductor-superconductor heterostructures are mainly fueled by the prospects of using Majorana zero modes for quantum computation. The knowledge of low-lying states in the…

Superconductivity · Physics 2021-06-07 Alexander Ziesen , Fabian Hassler

Recently there has been much effort in understanding topological phases of matter with gapless bulk excitations, which are characterized by topological invariants and protected intrinsic boundary states. Here we show that topological…

Strongly Correlated Electrons · Physics 2015-03-19 Robert Schaffer , Eric Kin-Ho Lee , Yuan-Ming Lu , Yong Baek Kim

Proposed approaches to topological quantum computation based on Majorana bound states may enable new paths to fault-tolerant quantum computing. Several recent experiments have suggested that the vortex cores of topological superconductors,…

Superconductivity · Physics 2021-09-08 Chengyun Hua , Gábor B. Halász , Eugene Dumitrescu , Matthew Brahlek , Benjamin Lawrie

Topological superconductors are foreseen as good candidates for the search of Majorana zero modes, where they appear as edge states and can be used for quantum computation. In this context, it becomes necessary to study the robustness and…

Mesoscale and Nanoscale Physics · Physics 2025-02-14 Dunkan Martínez , Álvaro Díaz-Fernández , Pedro A Orellana , Francisco Domínguez-Adame

In light of recent proposals to realize a topological superconductor on the surface of strong topological insulators, we study impurity and vortex scattering in two dimensional topological superconductivity. We develop a theory of…

Superconductivity · Physics 2015-04-21 Aaron Farrell , Maxime Beaudry , M. Franz , T. Pereg-Barnea