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The realization and manipulation of Majorana zero modes is a key step in achieving topological quantum computation. In this paper, we demonstrate the existence of Majorana corner states in a superconductor-insulators-superconductor vertical…

Superconductivity · Physics 2025-09-17 Cheng-Ming Miao , Yu-Hao Wan , Ying-Tao Zhang , Qing-Feng Sun

The modern understanding of topological insulators is based on Wannier obstructions in position space. Motivated by this insight, we study topological superconductors from a position-space perspective. For a one-dimensional superconductor,…

Superconductivity · Physics 2020-07-02 Frank Schindler , Barry Bradlyn , Mark H. Fischer , Titus Neupert

The presence of a boundary enriches the nature of quantum phase transitions. However, the boundary critical phenomena in topological superconductors remain underexplored so far. Here, we investigate the boundary criticality in a…

Strongly Correlated Electrons · Physics 2025-10-08 Yang Ge , Huan Jiang , Hong Yao , Shao-Kai Jian

Pairing in the Weyl semi - metal appearing on the surface of topological insulator is considered. It is shown that due to an "ultra-relativistic" dispersion relation there is a quantum critical point governing the zero temperature…

Superconductivity · Physics 2015-06-19 Dingping Li , B. Rosenstein , I. Shapiro , B. Ya. Shapiro

Semiconductors in the proximity of superconductors have been proposed to support phases hosting Majorana bound states. When the systems undergo a topological phase transition towards the Majorana phase, the spectral gap closes, then…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 Doru Sticlet , Cătălin Paşcu Moca , Balázs Dóra

Just like insulators can host topological Dirac states at their edges, superconductors can also exhibit topological phases characterized by Majorana edge states. Remarkable zero-energy states have been recently observed at the two ends of…

We discuss the effects of a quantum critical point located nearby optimum doping and related to local charge segregation (stripe phase). The fluctuations in the critical region produce at the same time a strong pairing mechanism and a…

Strongly Correlated Electrons · Physics 2009-10-31 C. Castellani , C. Di Castro , M. Grilli

The engineering of non-trivial topology in superconducting heterostructures is a very challenging task. Reducing the number of components in the system would facilitate the creation of the long-sought Majorana bound states. Here, we explore…

Superconductivity · Physics 2022-06-20 Stefan Rex , Roland Willa

We propose an alternative route to transport experiments for detecting Majorana bound states (MBSs) by combining topological superconductivity with quantum optics in a superconducting $pn$ junction containing a quantum dot (QD). We consider…

Mesoscale and Nanoscale Physics · Physics 2022-12-02 L. Bittermann , C. De Beule , D. Frombach , P. Recher

As a half-metal is spin-polarized at its Fermi level by definition, it was conventionally thought to have little proximity effect to an s-wave superconductor. Here we show that, with interface spin-orbit coupling, $p_x +ip_y$…

Superconductivity · Physics 2015-03-17 Suk Bum Chung , Hai-Jun Zhang , Xiao-Liang Qi , Shou-Cheng Zhang

Topological superconductors, which support Majorana fermion excitations, have been the subject of intense studies due to their novel transport properties and their potential applications in fault-tolerant quantum computations. Here we…

Superconductivity · Physics 2014-02-24 James Jun He , Jiansheng Wu , Ting-Pong Choy , Xiong-Jun Liu , Y. Tanaka , K. T. Law

Chains of magnetic impurities placed on a superconducting substrate and forming helical spin order provide a promising venue for realizing a topological superconducting phase. An effective tight-binding description of such helical Shiba…

Mesoscale and Nanoscale Physics · Physics 2014-06-12 Falko Pientka , Leonid I. Glazman , Felix von Oppen

We present an exact solution of a supersymmetric nonlinear sigma model describing the crossover between a quantum dot and a disordered quantum wire with unitary symmetry. The system is coupled ideally to two electron reservoirs via…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. M. S. Macedo

We present a novel controllable platform for engineering Majorana zero modes. The platform consists of a ferromagnetic metallic wire placed among conventional superconductors, which are in proximity to ferromagnetic insulators. We…

Superconductivity · Physics 2021-12-01 Giorgos Livanas , Nikolaos Vanas , Georgios Varelogiannis

Majorana zero modes (MZMs) emerge as edge states in topological superconductors and are promising for topological quantum computation, but their detection has so far been elusive. Here we show that non-Hermiticity can be used to obtain…

Superconductivity · Physics 2023-08-25 R. Arouca , Jorge Cayao , Annica M. Black-Schaffer

Spin-triplet $p$-wave superconductors are promising candidates for topological superconductors. They have been proposed in various heterostructures where a material with strong spin-orbit interaction is coupled to a conventional $s$-wave…

Strongly Correlated Electrons · Physics 2023-01-03 Yung-Yeh Chang , Khoe Van Nguyen , Kuang-Lung Chen , Yen-Wen Lu , Chung-Yu Mou , Chung-Hou Chung

Majorana bound states often occur at the end of 1D topological superconductor or at the $\pi$ Josephson junction mediated by a helical edge state. Validated by a new bulk invariant and an intuitive edge argument, we show the emergence of…

Mesoscale and Nanoscale Physics · Physics 2018-11-01 Qiyue Wang , Cheng-Cheng Liu , Yuan-Ming Lu , Fan Zhang

We consider a model for a one-dimensional quantum wire with Rashba spin-orbit coupling and repulsive interactions, proximity coupled to a conventional s-wave superconductor. Using a combination of Hartree-Fock and density matrix…

Mesoscale and Nanoscale Physics · Physics 2015-04-30 Arbel Haim , Anna Keselman , Erez Berg , Yuval Oreg

Due to the charge neutral and localized nature of surface Majorana modes, detection schemes usually rely on local spectroscopy or interference through the Josephson effect. Here, we theoretically study the magnetic response of a…

Superconductivity · Physics 2018-09-20 Luca Chirolli , Francisco Guinea

We show that semiconductor nanowires coupled to an s-wave superconductor provide a playground to study effects of interactions between different topological superconducting phases supporting Majorana zero-energy modes. We consider quasi-one…

Superconductivity · Physics 2011-12-30 Roman M. Lutchyn , Matthew P. A. Fisher