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We consider a helical spin liquid system which shows majorana fermion modes at the edge. The interaction between the quasiparticles in this system induces phase transition, Majorana-Ising transition. We comply the density matrix…

Strongly Correlated Electrons · Physics 2017-08-02 Dayasindhu Dey , Sudip Kumar Saha , P. Singha Deo , Manoranjan Kumar , Sujit Sarkar

The Josephson supercurrent through the hybrid Majorana--quantum dot--Majorana junction is investigated. We particularly analyze the effect of spin-selective coupling between the Majorana and quantum dot states, which emerges only in the…

Mesoscale and Nanoscale Physics · Physics 2017-07-11 Luting Xu , Xin-Qi Li , Qing-Feng Sun

We propose a platform for universal quantum computation that uses conventional $s$-wave superconducting leads to address a topological qubit stored in spatially separated Majorana bound states in a multi-terminal topological superconductor…

Mesoscale and Nanoscale Physics · Physics 2019-01-02 Constantin Schrade , Liang Fu

We introduce exactly solvable models of interacting (Majorana) fermions in $d \ge 3$ spatial dimensions that realize a new kind of topological quantum order, building on a model presented in ref. [1]. These models have extensive topological…

Strongly Correlated Electrons · Physics 2015-12-30 Sagar Vijay , Jeongwan Haah , Liang Fu

Semiconductor qubits rely on the control of charge and spin degrees of freedom of electrons or holes confined in quantum dots (QDs). They constitute a promising approach to quantum information processing [1, 2], complementary to…

Majorana-based topological qubits are expected to exploit the nonabelian braiding statistics of Majorana modes in topological superconductors to realize fault-tolerant topological quantum computation. Scalable qubit designs require several…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Pasquale Marra , Daisuke Inotani , Muneto Nitta

Theoretically, a pair of Majorana bound states in a topological superconductor forms a single fermionic level even at large separations, implying that the parity information is stored nonlocally. The nonlocality leads to a long-distance…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 Zheng Shi , Piet W. Brouwer , Karsten Flensberg , Leonid I. Glazman , Felix von Oppen

Majorana zero modes at the boundaries of topological superconductors are charge-neutral, an equal superposition of electrons and holes. This ideal situation is, however, hard to achieve in physical implementations, such as proximitised…

Mesoscale and Nanoscale Physics · Physics 2017-03-09 Fernando Domínguez , Jorge Cayao , Pablo San-Jose , Ramón Aguado , Alfredo Levy Yeyati , Elsa Prada

Time-quasiperiodic Majoranas are generalizations of Floquet Majoranas in time-quasiperiodic superconducting systems. We show that in a system driven at $d$ mutually irrational frequencies, there are up to $2^d$ types of such Majoranas,…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Yang Peng , Gil Refael

We address an outstanding problem that represents a critical roadblock in the development of the Majorana-based topological qubit using semiconductor-superconductor hybrid structures: the quantitative characterization of disorder effects…

Mesoscale and Nanoscale Physics · Physics 2021-12-09 Benjamin D. Woods , Sankar Das Sarma , Tudor D. Stanescu

A Majorana-based qubit can form within the fermion parity subspace of a two-island topological superconductor setup consisting of four Majorana zero modes. We study the relaxation time of this Majorana qubit induced by the intrinsic…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Yang Song , S. Das Sarma

Quasiparticle excitations adversely affect the performance of superconducting devices in a wide range of applications. They limit the sensitivity of photon detectors in astronomy, the accuracy of current sources in metrology, the cooling…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 D. Ristè , C. C. Bultink , M. J. Tiggelman , R. N. Schouten , K. W. Lehnert , L. DiCarlo

We propose and analyze theoretically an experimental setup for detecting the elusive Majorana particle in semiconductor-superconductor heterostructures. The experimental system consists of one-dimensional semiconductor wire with strong…

Superconductivity · Physics 2010-08-16 Roman M. Lutchyn , Jay D. Sau , S. Das Sarma

We show how to exchange (braid) Majorana fermions in a network of superconducting nanowires by control over Coulomb interactions rather than tunneling. Even though Majorana fermions are charge-neutral quasiparticles (equal to their own…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 B. van Heck , A. R. Akhmerov , F. Hassler , M. Burrello , C. W. J. Beenakker

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Pasquale Marra

Minimal Kitaev chains composed of two semiconducting quantum dots coupled via a grounded superconductor have emerged as a promising platform to realize and study Majorana bound states (MBSs). We propose a hybrid qubit based on a Josephson…

Mesoscale and Nanoscale Physics · Physics 2024-04-30 D. Michel Pino , Rubén Seoane Souto , Ramón Aguado

Hybrid devices based on the superconducting qubits have emerged as a promising platform for controlling the quantum states of macroscopic resonators. The nonlinearity added by a qubit can be a valuable resource for such control. Here we…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 Sourav Majumder , Tanmoy Bera , Vibhor Singh

There exists a variety of proposals to transform a conventional s-wave superconductor into a topological superconductor, supporting Majorana fermion mid-gap states. A necessary ingredient of these proposals is strong spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 T. -P. Choy , J. M. Edge , A. R. Akhmerov , C. W. J. Beenakker

We study the condition for a topological superconductor (TS) phase with end Majorana fermions to appear when a quasiperiodic lattice modulation is applied to a one-dimensional quantum wire with strong spin-orbit interaction situated under a…

Superconductivity · Physics 2012-04-25 Masaki Tezuka , Norio Kawakami

We propose a universal gate set acting on a qubit formed by the degenerate ground states of a Coulomb-blockaded time-reversal invariant topological superconductor island with spatially separated Majorana Kramers pairs: the "Majorana Kramers…

Mesoscale and Nanoscale Physics · Physics 2022-12-05 Constantin Schrade , Liang Fu