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Topological states of matter are promising resources for composing fault-tolerant quantum computers, advancing beyond the limitations of current noisy intermediate-scale quantum devices. To enable this progress, a deep understanding of…

量子物理 · 物理学 2024-11-25 Takanori Sugimoto

A recent experiment [Nadj-Perge et al., Science 346, 602 (2014)] gives possible evidence for Majorana bound states in chains of magnetic adatoms placed on a superconductor. While many features of the observed end states are naturally…

介观与纳米尺度物理 · 物理学 2015-03-18 Yang Peng , Falko Pientka , Leonid I. Glazman , Felix von Oppen

We theoretically explore the emergence of strong zero modes in a two-site chain consisting of two quantum dots coupled due to a central dot that mediates electron hopping and singlet superconducting pairing. In the presence of time-reversal…

介观与纳米尺度物理 · 物理学 2025-07-02 A. Mert Bozkurt , Sebastian Miles , Sebastiaan L. D. ten Haaf , Chun-Xiao Liu , Fabian Hassler , Michael Wimmer

Demonstration of Majorana non-Abelian properties is a major challenge in the field of topological superconductivity. In this work, we propose a minimal device and protocol for testing non-Abelian properties using charge-transfer operations…

介观与纳米尺度物理 · 物理学 2022-02-02 Svend Krøjer , Rubén Seoane Souto , Karsten Flensberg

The tetron architecture is a promising candidate for topological quantum computation. Each tetron Majorana island has four Majorana zero modes, and possible measurements are constrained to span zero or two Majoranas per tetron. Such…

量子物理 · 物理学 2023-11-06 Sourav Kundu , Ben W. Reichardt

Topological superconductors can host Majorana quasiparticles which supersede the fermion/boson dichotomy and offer a pathway to fault tolerant quantum computation. In one-dimensional systems zero-energy Majorana states are bound to the ends…

Although Majorana platforms are promising avenues to realizing topological quantum computing, they are still susceptible to errors from thermal noise and other sources. We show that the error rate of Majorana qubits can be drastically…

介观与纳米尺度物理 · 物理学 2020-05-06 John P. T. Stenger , Roger S. K. Mong

In theories with a low quantum gravity scale, global symmetries are expected to be violated, inducing excessive proton decay or large Majorana neutrino masses. The simplest cure is to impose discrete gauge symmetries, which in turn make…

高能物理 - 唯象学 · 物理学 2009-09-29 Hooman Davoudiasl , Ryuichiro Kitano , Graham D. Kribs , Hitoshi Murayama

The topological phases of random Kitaev $\alpha$-chains are labelled by the number of localized edge Majorana Zero Modes. The critical lines between these phases thus correspond to delocalization transitions for these localized edge…

无序系统与神经网络 · 物理学 2018-10-18 Cecile Monthus

In this paper, we derive the equations of motion for a system composed of a spinless quantum dot coupled to two normal leads and two Majorana bound states (MBSs), utilizing the auxiliary-mode expansion method and the nonequilibrium Green…

介观与纳米尺度物理 · 物理学 2025-07-01 Cong Li , Bing Dong

We study a double quantum dot connected via a common superconducting lead and show that this system can be tuned to host one Majorana bound state (MBS) on each dot. We call them "poor man's Majorana bound states" since they are not…

介观与纳米尺度物理 · 物理学 2013-01-10 Martin Leijnse , Karsten Flensberg

We propose a setup to measure the lifetime of the parity of a pair of Majorana bound states. The proposed experiment has one edge Majorana state tunnel coupled to a quantum dot, which in turn is coupled to a metallic electrode. When the…

介观与纳米尺度物理 · 物理学 2013-01-10 Martin Leijnse , Karsten Flensberg

In topological quantum computing, unitary operations on qubits are performed by adiabatic braiding of non-Abelian quasiparticles, such as Majorana zero modes, and are protected from local environmental perturbations. In the adiabatic…

介观与纳米尺度物理 · 物理学 2017-08-29 Armin Rahmani , Babak Seradjeh , Marcel Franz

Majorana modes are zero-energy excitations of a topological superconductor that exhibit non-Abelian statistics. Following proposals for their detection in a semiconductor nanowire coupled to an s-wave superconductor, several tunneling…

We analyse an exactly solvable spin-$1/2$ chain which is a generalised version of Kitaev's honeycomb model. We show that every state of the system has a $2^{N/4}$ fold degeneracy, where $N$ is the number of sites. We present analytic…

强关联电子 · 物理学 2015-05-19 Abhinav Saket , S. R. Hassan , R. Shankar

We explore the tunneling transport properties of a quantum dot embedded in an optical microcavity and coupled to a semiconductor-superconductor one-dimensional nanowire (Majorana nanowire) hosting Majorana zero modes (MZMs) at their edges.…

介观与纳米尺度物理 · 物理学 2022-02-09 L. S. Ricco , V. K. Kozin , A. C. Seridonio , I. A. Shelykh

We develop a protocol to determine the presence and extent of a topological phase with Majorana zero modes in a hybrid superconductor-semiconductor device. The protocol is based on conductance measurements in a three-terminal device with…

We perform a theoretical analysis of the fate of local magnetic moment of a quantum dot coupled to a normal metallic lead and a topological superconducting wire hosting Majorana modes at the ends. By means of simple analytical tools and…

介观与纳米尺度物理 · 物理学 2023-04-04 Krzysztof P. Wójcik , Piotr Majek

Effects associated with the existence of isolated zero modes of Majorana fermions are discussed. It is argued that the quantization of this system necessarily contains highly extended quantum states and that populating and depopulating such…

其他凝聚态物理 · 物理学 2007-05-23 Gordon W. Semenoff , Pasquale Sodano

Non-Abelian quasiparticles have been predicted to exist in a variety of condensed matter systems. Their defining property is that an adiabatic braid between two of them results in a nontrivial change of the quantum state of the system. To…

介观与纳米尺度物理 · 物理学 2016-01-28 Jian Li , Titus Neupert , B. Andrei Bernevig , Ali Yazdani
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