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Majorana bound states are spatially localized superpositions of electron and hole excitations in the middle of a superconducting energy gap. A single qubit can be encoded nonlocally in a pair of spatially separated Majorana bound states.…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 Johan Nilsson , A. R. Akhmerov , C. W. J. Beenakker

We study the energy levels and transport properties of an extended Kitaev chain with a phase gradient. It is demonstrated that the hopping phase difference can effectively induce the generation of Majorana bound states, which are located at…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Xuan Zhang , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

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

We propose a theoretical approach based on an interferometer composed by two quantum dots asymmetrically coupled to isolated Majorana quasiparticles (MQPs), lying on the edges of two topological Kitaev chains, respectively via couplings…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 F. A. Dessotti , L. S. Ricco , Y. Marques , L. H. Guessi , M. Yoshida , M. S. Figueira , M. de Souza , Pasquale Sodano , A. C. Seridonio

The Majorana tetron is a prototypical topological qubit stemming from the ground state degeneracy of a superconducting island hosting four Majorana modes. This degeneracy manifests as an effective non-local spin degree of freedom, whose…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Maximilian Nitsch , Lorenzo Maffi , Virgil V. Baran , Rubén Seoane Souto , Jens Paaske , Martin Leijnse , Michele Burrello

We investigate the low-energy theory of a one-dimensional finite capacitance topological Josephson junction. Charge fluctuations across the junction couple to resonant microwave fields and can be used to probe microscopic excitations such…

Mesoscale and Nanoscale Physics · Physics 2020-03-13 Konstantin Yavilberg , Eran Ginossar , Eytan Grosfeld

We study quasiparticle spectrum of the correlated quantum dot deposited on superconducting substrate which is side-coupled to the Rashba nanochain, hosting Majorana end modes. Ground state of an isolated quantum dot proximitized to…

Mesoscale and Nanoscale Physics · Physics 2020-12-08 Tomasz Zienkiewicz , Jan Barański , Grzegorz Górski , Tadeusz Domański

We investigate Majorana modes in a quantum spin chain with bond-dependent exchange interactions by studying its dynamics. Specifically, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called…

Quantum Physics · Physics 2022-07-27 Johannes Bjerlin , Anders S. Sørensen , Stephan Haas

Topological phases in one-dimensional superconducting systems are commonly characterized by symmetry-protected invariants. These invariants determine the number of Majorana zero-energy boundary modes but do not specify their corresponding…

Other Condensed Matter · Physics 2026-05-11 Vijay Pathak , Vaishnav Mallya , Sujit Sarkar

Recently, exciting progress has been made in using the superconducting nanowires coupled to gate-defined quantum dots (QDs) to mimic the Kiteav chain and realize the Majorana-bound states via a poor man's route. The essential ingredient is…

Mesoscale and Nanoscale Physics · Physics 2025-02-13 Zhi-Hai Liu , Chuanchang Zeng , H. Q. Xu

We study theoretically the two Kitaev chains put in parallel, i.e., Kitaev ladder, coupled by Josephson junction. The $\pi$-junction between the Majorana bound states at the ends of the chains competes with the usual Josephson coupling…

Superconductivity · Physics 2015-12-15 Sho Nakosai , Yukio Tanaka , Tai Kai Ng , Naoto Nagaosa

Quantum simulation is a way to study unexplored Hamiltonians by mapping them onto the assemblies of well-understood quantum systems such as ultracold atoms in optical lattices, trapped ions or superconducting circuits. Semiconductor…

Chains of magnetic atoms with either strong spin-orbit coupling or spiral magnetic order which are proximity-coupled to superconducting substrates can host topologically non-trivial Majorana bound states. The experimental signature of these…

For the past decade, Majorana quasiparticles have become one of the hot topics in condensed matter research. Besides the fundamental interest in the realization of particles being their own antiparticles, going back to basic concepts of…

Mesoscale and Nanoscale Physics · Physics 2025-02-12 Stephan Rachel , Roland Wiesendanger

Each end of a Kitaev chain in topological phase hosts a Majorana fermion. Zero bias conductance peak is an evidence of Majorana fermion when the two Majorana fermions are decoupled. These two Majorana fermions are separated in space and…

Mesoscale and Nanoscale Physics · Physics 2019-09-17 Abhiram Soori

Majorana-zero-modes (MZMs) were predicted to exist as edge states of a physical system called the Kitaev chain. MZMs should host particles that are their own antiparticles and could be used as a basis for a qubit which is robust-to-noise.…

Quantum Physics · Physics 2022-11-22 Marko J. Rančić

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

We study charge transport through a topological superconductor with a pair of Majorana end states, coupled to leads via quantum dots with resonant levels. The non-locality of the Majorana bound states opens the possibility of crossed…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Björn Zocher , Bernd Rosenow

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

We investigate the topological properties of a dimerized Kitaev chain with long-range interactions, including the intercell hopping and superconducting pairing terms. It is found that even only when the intercell hopping term appears, the…

Mesoscale and Nanoscale Physics · Physics 2020-09-18 Xue-Si Li , Jia-Rui Li , Shu-Feng Zhang , Lian-Lian Zhang , Wei-Jiang Gong
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