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The Aharonov-Bohm (AB) cage enables localized confinement with nondiffractive propagation for arbitrary excitation. In this study, we introduce an anti-parity-time (anti-$\mathcal{PT}$) symmetric imaginary coupling in a generalized Creutz…

Quantum Physics · Physics 2023-08-24 S. M. Zhang , H. S. Xu , L. Jin

Because Majorana zero modes store quantum information non-locally, they are protected from noise, and have been proposed as a building block for a quantum computer. We show how to use the same protection from noise to implement universal…

Quantum Physics · Physics 2018-06-05 T. E. O'Brien , P. Rożek , A. R. Akhmerov

Pairing between spinless fermions can generate Majorana fermion excitations that exhibit intriguing properties arising from non-local correlations. But simple models indicate that non-local correlation between Majorana fermions becomes…

Quantum Gases · Physics 2013-12-02 Fei Lin , V. W. Scarola

Motivated by recent experiments we consider transport across an interacting magnetic impurity coupled to the Majorana zero mode (MZM) observed at the boundary of a topological superconductor (SC). In the presence of a finite tunneling…

Mesoscale and Nanoscale Physics · Physics 2022-03-11 Daniele Guerci , Andrea Nava

We study the influence of mean field cubic nonlinearity on Aharonov-Bohm caging in a diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities the Aharonov-Bohm caging persists as periodic nonlinear breathing…

Pattern Formation and Solitons · Physics 2019-01-23 Goran Gligorić , Petra P. Beličev , Daniel Leykam , Aleksandra Maluckov

Protecting qubits from noise is essential for building reliable quantum computers. Topological qubits offer a route to this goal by encoding quantum information non-locally, using pairs of Majorana zero modes. These modes form a shared…

Interesting phases of quantum matter often arise when the constituent particles -- electrons in solids -- interact strongly. Such strongly interacting systems are however quite rare and occur only in extreme environments of low spatial…

Strongly Correlated Electrons · Physics 2015-04-03 Ching-Kai Chiu , D. I. Pikulin , M. Franz

A highlighting feature of Majorana bound states in two-dimensional topological superconductors is that they gain a phase factor of $\pi$ upon being orbited by a vortex. This work focuses on the vortex degree of freedom itself and…

Strongly Correlated Electrons · Physics 2016-06-29 Jeffrey C. Y. Teo , Mayukh Nilay Khan , Smitha Vishveshwara

Magnet-superconductor hybrid (MSH) systems are a key platform for custom-designed topological superconductors. Ideally, the ends of a one-dimensional MSH structure will host Majorana zero-modes (MZMs), the fundamental unit of topological…

We show that the $\nu=8$ integer quantum Hall state can support Majorana zero modes at domain walls between its two different stable chiral edge phases without superconductivity. This is due to the existence of an edge phase that does not…

Strongly Correlated Electrons · Physics 2015-12-08 Jennifer Cano , Meng Cheng , Maissam Barkeshli , David J. Clarke , Chetan Nayak

We propose molecular magnets as a platform to emulate Majorana zero modes (MZMs). Using a quantum chemistry approach, we identify several candidates and predict a Co trimer to have sufficient properties to host MZMs. Parameters of the…

The Majorana lattice gauge theory purely composed of Majorana fermions on square lattice is studied throughly. The ground state is obtained exactly and exhibits the coexistence of symmetry breaking and topological order. The $Z_2$ symmetry…

Strongly Correlated Electrons · Physics 2023-01-18 Jian-Jian Miao

We introduce a frustration-free, one-dimensional model of spinless fermions with hopping, p-wave superconducting pairing and alternating chemical potentials. The model possesses two exactly degenerate ground states even for finite system…

Strongly Correlated Electrons · Physics 2023-02-28 Jurriaan Wouters , Hosho Katsura , Dirk Schuricht

We experimentally demonstrate that Majorana-like bound states (MLBSs) can occur in quasi-one-dimensional metamaterials, analogous to Majorana zero modes (MZM) in the Kitaev chain. In a mechanical spinner ladder system, we observe a…

Materials Science · Physics 2022-02-01 Kai Qian , David J. Apigo , Karmela Padavić , Keun Hyuk Ahn , Smitha Vishveshwara , Camelia Prodan

The edge state of the topological insulator coupled to a superconductor system is able to simulate the Majorana fermion in zero energy mode since the Kitaev-type pairing is induced by exchanging quasi-excitations in electron tunneling.…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Xin Yue , Guo-Jian Qiao , C. P. Sun

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

Magnetic skyrmions are nanoscale spin configurations that can be efficiently created and manipulated. They hold great promises for next-generation spintronics applications. In parallel to these developments, the interplay of magnetism,…

Superconductivity · Physics 2019-10-24 Maxime Garnier , Andrej Mesaros , Pascal Simon

The search for Majorana fermions in p-wave paired fermionic systems has recently moved to the forefront of condensed-matter research. Here we propose an alternative route and show theoretically that Majorana-like modes can be realized and…

Quantum Gases · Physics 2013-03-07 C. -E. Bardyn , A. Imamoglu

The one-dimensional $p$-wave superconductor, characterized by boundary Majorana modes, has attracted significant interest owing to its potential application in topological quantum computation. Similarly, spin-1/2 Kitaev ladder systems with…

Strongly Correlated Electrons · Physics 2024-11-19 Haoting Xu , Hae-Young Kee

Majorana zero modes are a promising platform for topologically protected quantum information processing. Their non-Abelian nature, which is key for performing quantum gates, is most prominently exhibited through braiding. While originally…

Strongly Correlated Electrons · Physics 2019-07-10 Bela Bauer , T. Pereg-Barnea , Torsten Karzig , Maria-Theresa Rieder , Gil Refael , Erez Berg , Yuval Oreg