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We theoretically study the effect of a magnetic field on quasicrystalline superconductors, by modelling them as the attractive Hubbard model on the Penrose-tiling structure. We find that at low temperatures and under a high magnetic field…

Superconductivity · Physics 2019-09-11 Shiro Sakai , Ryotaro Arita

Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes, with much of the evidence based on BCS mean-field theory. The direct application of mean-field arguments is tenuous in finite,…

Strongly Correlated Electrons · Physics 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

We present a detailed theoretical study of chiral topological superconductor phases in proximity-superconducting graphene systems based on an effective model inspired by DFT simulations. Inducing s-wave superconductivity to quantum…

Mesoscale and Nanoscale Physics · Physics 2020-09-10 Petra Högl , Tobias Frank , Denis Kochan , Martin Gmitra , Jaroslav Fabian

Hybridizing superconductivity with the quantum Hall (QH) effects has major potential for designing novel circuits capable of inducing and manipulating non-Abelian states for topological quantum computation. However, despite recent…

We study the transport of cold fermionic atoms trapped in optical lattices in the presence of artificial Abelian or non-Abelian gauge potentials. Such external potentials can be created in optical lattices in which atom tunneling is laser…

Mesoscale and Nanoscale Physics · Physics 2007-12-17 N. Goldman , P. Gaspard

Fu and Kane have taught us that a Majorana zero-mode appears on the quantum spin Hall edge at the interface with a superconductor. If a magnetic scatterer is placed on the edge, the zero-point energy of massless edge excitations exerts a…

Mesoscale and Nanoscale Physics · Physics 2024-11-13 C. W. J. Beenakker

We propose a mechanism to explain the emergence of an intermediate gapless spin liquid phase in the antiferromagnetic Kitaev model in an externally applied magnetic field, sandwiched between the well-known gapped chiral spin liquid and the…

Strongly Correlated Electrons · Physics 2025-03-14 Penghao Zhu , Shi Feng , Kang Wang , Tao Xiang , Nandini Trivedi

The edge of spin unpolarized or spin polarized $\nu=2/3$ fractional quantum Hall states is predicted by the effective theory to support a backward moving neutral mode in addition to a forward moving charge mode. We study this issue from a…

Mesoscale and Nanoscale Physics · Physics 2012-11-08 Ying-Hai Wu , G. J. Sreejith , Jainendra K. Jain

We study the quasiparticle states and nonlocal correlations of a hybrid structure, comprising two quantum dots interconnected through a short-length topological superconducting nanowire hosting overlaping Majorana modes. We show that the…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 G. Górski , K. P. Wójcik , J. Barański , I. Weymann , T. Domański

Braiding Majorana zero modes is essential for fault-tolerant topological quantum computing. Iron-based superconductors with nontrivial band topology have recently emerged as a surprisingly promising platform for creating distinct Majorana…

Parafermions are generalizations of Majorana fermions that may appear in interacting topological systems. They are known to be powerful building blocks of topological quantum computers. Existing proposals for realizations of parafermions…

Strongly Correlated Electrons · Physics 2019-02-20 C. Fleckenstein , N. Traverso Ziani , B. Trauzettel

We derive an index theorem for zero-energy Majorana fermion modes in a superconductor-topological insulator system in both two and three dimensions, which is valid for models with chiral symmetry as well as particle-hole symmetry. For more…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 T. Fukui , T. Fujiwara

In this paper, we have analyzed the spectral and transport properties of a weakly correlated single-level quantum dot hybridized with one normal conducting and another Bardeen-Cooper-Schrieffer (BCS) superconducting lead (N-QD-S system) in…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 Pujita Das , Sachin Verma , Ajay

We derive an effective field-theoretical model for the one-dimensional collective mode associated with a domain wall in a quantum Hall ferromagnetic state, as realized in confined graphene systems at zero filling. To this end, we consider…

Strongly Correlated Electrons · Physics 2015-06-05 Victoria Mazo , H. A. Fertig , Efrat Shimshoni

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

We derive low-energy effective field theories for the quantum anomalous Hall and topological superconducting phases. The quantum Hall phase is realized in terms of free fermions with nonrelativistic dispersion relation, possessing a global…

Strongly Correlated Electrons · Physics 2022-11-07 M. Gomes , Pedro R. S. Gomes , K. Raimundo , Rodrigo Corso B. Santos , A. J. da Silva

Chiral topological superconductors are expected to appear as intermediate states when a quantum anomalous Hall system is proximity coupled to an s-wave superconductor and the magnetization direction is reversed. In this paper we address the…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Gaurav Chaudhary , Allan H. MacDonald

Topological phases of matter have been used as a fertile realm of intensive discussions about fermionic fractionalization. In this work, we study the effects of anisotropic superconducting correlations in the fermionic fractionalization on…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 M. A. R. Griffith , E. Mamani , L. Nunes , H. Caldas

The heavy fermion systems present a unique platform in which strong electronic correlations give rise to a host of novel, and often competing, electronic and magnetic ground states. Amongst a number of potential experimental tools at our…

Strongly Correlated Electrons · Physics 2012-10-18 Sunil Nair , S. Wirth , S. Friedemann , F. Steglich , Q. Si , A. J. Schofield

Majorana bound states are putative collective excitations in solids that exhibit the self-conjugate property of Majorana fermions - they are their own antiparticles. In iron-based superconductors, zero-energy states in vortices have been…