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We demonstrate that Majorana fermions exist in edges of systems and in a vortex core even for superconductors with nodal excitations such as the d-wave pairing state under a particular but realistic condition in the case with an…

Superconductivity · Physics 2011-02-11 Masatoshi Sato , Satoshi Fujimoto

In this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made of an asymmetric topological superconducting chain coupled to two leads. This asymmetric superconducting chain is…

Strongly Correlated Electrons · Physics 2022-07-20 Chuan-Zhe Yao , Wei-Min Zhang

Time-reversal symmetry breaking superconductors are exotic phases of matter with fascinating properties, which are, however, encountered rather sparsely. Here we identify the possibility of realizing such a superconducting ground state that…

Mesoscale and Nanoscale Physics · Physics 2014-08-01 Bitan Roy , Vladimir Juricic

Large Hubbard U limit of the Kane-Mele model on a zigzag ribbon of honeycomb lattice near half-filling is studied via a renormalized mean-field theory. The ground state exhibits time-reversal symmetry (TRS) breaking d + i d'-wave…

Superconductivity · Physics 2015-06-09 Shih-Jye Sun , Chung-Hou Chung , Yung-Yeh Chang , Wei-Feng Tsai , Fu-Chun Zhang

Through $s-d$ coupling, a superconducting thin film interfaced to a noncollinear magnetic insulator inherits its magnetic order, which may induce unconventional superconductivity that hosts Majorana edge states. From the cycloidal, helical,…

Superconductivity · Physics 2015-12-08 Wei Chen , Andreas P. Schnyder

We propose a nanomechanical detection scheme for Majorana bound states, which have been predicted to exist at the edges of a one-dimensional topological superconductor, implemented, for instance, using a semiconducting wire placed on top of…

Mesoscale and Nanoscale Physics · Physics 2011-12-22 Stefan Walter , Thomas L. Schmidt , Kjetil Børkje , Björn Trauzettel

We show the presence of Majorana edge modes in an interacting fermionic ladder with spin in a number conserved setting. The interchain single particle hopping is suppressed and only a pair hopping is present between the different chains of…

Quantum Gases · Physics 2022-12-23 Franco T. Lisandrini , Corinna Kollath

We study theoretically the proximity effect of a one-dimensional metallic quantum wire (in the absence of spin-orbit interaction) lying on top of an unconventional superconductor. Three different material classes are considered as a…

Superconductivity · Physics 2013-03-14 Sho Nakosai , Jan Carl Budich , Yukio Tanaka , Björn Trauzettel , Naoto Nagaosa

The charging energy $U$ of a small superconducting island containing Majorana zero modes---a Majorana Cooper-pair box---induces interactions between the Majorana zero modes. Considering a chain of many such boxes, a topological…

Strongly Correlated Electrons · Physics 2019-07-11 Hiromi Ebisu , Eran Sagi , Yuval Oreg

The interplay of spin and charge fluctuations in the random transverse-field Ising spin chain on the fermionic space is investigated. The finite chemical potential, which controls the charge fluctuations, leads to the appearance of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. L. Chudnovskiy

The possible realization of Majorana fermions as quasiparticle excitations in condensed matter physics has created much excitement. Most recent studies have focused on Majorana bound states which can serve as topological qubits. More…

When a strongly correlated quantum dot is tunnel-coupled to a superconductor, it leads to the formation of Shiba bound states inside the superconducting gap. They have been measured experimentally in a superconductor-quantum dot-normal lead…

Mesoscale and Nanoscale Physics · Physics 2016-07-07 Razvan Chirla , Catalin Pascu Moca

Isolated Majorana fermion states can be produced at the boundary of a topological superconductor in a quasi-one-dimensional geometry. If such a superconductor is connected to a disordered quantum wire, the Majorana fermion is spread into…

Mesoscale and Nanoscale Physics · Physics 2015-09-21 D. A. Ivanov , P. M. Ostrovsky , M. A. Skvortsov

We show that a topological superconductor made of four chains of superconducting spinless fermions characterized by four Majorana edge states can adiabatically be deformed into a trivial band insulator. To unwind this time-reversal…

Strongly Correlated Electrons · Physics 2012-09-17 Achim Rosch

We calculate analytically the spectrum of the Andreev bound states in a half-infinite superconducting wire with an arbitrary number of bands crossing the chemical potential. The normal state of the wire is assumed to have an antiunitary…

Superconductivity · Physics 2020-03-11 K. V. Samokhin

Developing a gate-tunable, scalable, and topologically-protectable supercurrent qubit and integrating it into a quantum circuit are crucial for applications in the fields of quantum information technology and topological phenomena. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-05-06 Hong-Seok Kim , Yong-Joo Doh

Recent experimental advances in the field of cold atoms led to the development of novel techniques for producing synthetic dimensions and synthetic magnetic fields, thus greatly expanding the utility of cold atomic systems for exploring…

Quantum Gases · Physics 2018-03-28 Or Golan , Eran Sela , Kirill Shtengel

We study theoretically the role of topological invariants to protect the Majorana fermions in a model of two-dimensional chiral superconductors which belong to class D of topological periodic table. A rich phase diagram is revealed. Each…

Mesoscale and Nanoscale Physics · Physics 2012-09-25 Daichi Asahi , Naoto Nagaosa

We study Kondo screening obtained by coupling Majorana bound states, located on a topological superconducting island, to interacting electronic reservoirs. At the charge degeneracy points of the island, we formulate an exact mapping onto…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 Loïc Herviou , Karyn Le Hur , Christophe Mora

The prospects for realizing a topological quantum computer have brightened since the apparent detection of Majorana fermions at the ends of semiconducting nanowires. These Majorana zero-modes persist in the presence of the strong disorder…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 Sonika Johri , Rahul Nandkishore
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