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Related papers: Quantum dots as parafermion detectors

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A tunneling junction between normal electrode and a topological superconducting wire, mediated by a quantum dot, is considered theoretically. We show that the presence of the dot in the junction can be advantageous to Majorana zero modes…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Piotr Stefański

Parafermion zero modes are exotic emergent excitations that can be considered as $\mathbb{Z}_n$ generalizations of Majorana fermions. Present in fractional quantum Hall-superconductor hybrid systems, among others, they can serve as…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Noam Schiller , Eyal Cornfeld , Erez Berg , Yuval Oreg

Parafermionic zero modes are non-Abelian excitations which have been predicted to emerge at the boundary of topological phases of matter. Contrary to earlier proposals, here we show that such zero modes may also exist in multilegged star…

Mesoscale and Nanoscale Physics · Physics 2022-04-14 Udit Khanna , Moshe Goldstein , Yuval Gefen

Parafermion zero modes are generalizations of Majorana modes that underlie comparatively rich non-Abelian-anyon properties. We introduce exact mappings that connect parafermion chains, which can emerge in two-dimensional fractionalized…

Strongly Correlated Electrons · Physics 2018-09-12 Aaron Chew , David F. Mross , Jason Alicea

We propose an experimental setup for detecting a Majorana zero mode consisting of a spinless quantum dot coupled to the end of a p-wave superconducting nanowire. The Majorana bound state at the end of the wire strongly influences the…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 Dong E. Liu , Harold U. Baranger

If a quantum dot is coupled to a topological superconductor via tunneling contacts, each contact hosts a Majorana zero mode in the limit of zero transmission. Close to a resonance and at a finite contact transparency, the resonant level in…

Mesoscale and Nanoscale Physics · Physics 2024-06-11 Max Geier , Svend Krøjer , Felix von Oppen , Charles M. Marcus , Karsten Flensberg , Piet W. Brouwer

It is shown that the presence of the Majorana fermion edge states along the perimeter of a topological superconductor can be probed using an interacting quantum dot coupled to three terminals: two spin-polarized (ferromagnetic) leads and…

Strongly Correlated Electrons · Physics 2011-11-15 Rok Zitko

We concisely review the recent evolution in the study of parafermions -- exotic emergent excitations that generalize Majorana fermions and similarly underpin a host of novel phenomena. First we illustrate the intimate connection between…

Strongly Correlated Electrons · Physics 2016-04-01 Jason Alicea , Paul Fendley

By considering Majorana zero modes to laterally couple to the quantum dot, we evaluate the thermoelectric effect in one single-dot system. The calculation results show that if one Majorana zero mode couples to the dot, the thermoelectric…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Xiao-Qi Wang , Shu-Feng Zhang , Hu Han , Guang-Yu Yi , Wei-Jiang Gong

Parafermionic zero modes are fractional topologically protected quasiparticles expected to arise in various platforms. We show that Coulomb charging effects define a parafermion box with unique access options via fractional edge states…

Strongly Correlated Electrons · Physics 2018-02-21 Kyrylo Snizhko , Reinhold Egger , Yuval Gefen

A sign of topological order in a gapped one-dimensional quantum chain is the existence of edge zero modes. These occur in the Z_2-invariant Ising/Majorana chain, where they can be understood using free-fermion techniques. Here I discuss…

Strongly Correlated Electrons · Physics 2015-06-11 Paul Fendley

Parafermionic zero modes are a novel set of excitations displaying non-Abelian statistics somewhat richer than that of Majorana modes. These modes are predicted to occur when nearby fractional quantum Hall edge states are gapped by an…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Yahya Alavirad , David Clarke , Amit Nag , Jay D. Sau

Topological excitations in many-body systems are one of the paradigmatic cornerstones of modern condensed matter physics. In particular, parafermions are elusive fractional excitations potentially emerging in fractional quantum…

Strongly Correlated Electrons · Physics 2021-02-01 Vilja Kaskela , J. L. Lado

Exotic topologically protected zero modes with parafermionic statistics (also called fractionalized Majorana modes) have been proposed to emerge in devices fabricated from a fractional quantum Hall system and a superconductor. The…

We study the properties of a quantum dot coupled to a one-dimensional topological superconductor and a normal lead and discuss the interplay between Kondo and Majorana-induced couplings in quantum dot. The latter appears due to the presence…

Mesoscale and Nanoscale Physics · Physics 2014-09-24 Meng Cheng , Michael Becker , Bela Bauer , Roman M. Lutchyn

Majorana zero modes (MZMs) emerging at the edges of topological superconducting wires have been proposed as the building blocks of novel, fault-tolerant quantum computation protocols. Coherent detection and manipulation of such states in…

Mesoscale and Nanoscale Physics · Physics 2019-08-28 Jesus D. Cifuentes , Luis G. G. V. Dias da Silva

The classification of topological states of matter in terms of unitary symmetries and dimensionality predicts the existence of nontrivial topological states even in zero-dimensional systems, i.e., a system with a discrete energy spectrum.…

Mesoscale and Nanoscale Physics · Physics 2018-06-11 Pasquale Marra , Alessandro Braggio , Roberta Citro

Unequivocal signatures of Majorana zero energy modes in condensed matter systems and manipulation of the associated electron parity states are highly sought after for fundamental reasons as well as for the prospect of topological quantum…

Superconductivity · Physics 2018-02-20 Rosa Rodriguez-Mota , Smitha Vishveshwara , T. Pereg-Barnea

Majorana zero modes are well studied in the gapped phases of topological systems. We investigate Majorana zero modes at the topological quantum criticality in one dimensional topological superconducting model with longer range interaction.…

Strongly Correlated Electrons · Physics 2021-07-15 S Rahul , Ranjith R Kumar , Y R Kartik , Sujit Sarkar

One-dimensional topological phases can host localized zero-energy modes that enable high-fidelity storage and manipulation of quantum information. Majorana fermion chains support a classic example of such a phase, having zero modes that…

Strongly Correlated Electrons · Physics 2014-10-15 Adam S. Jermyn , Roger S. K. Mong , Jason Alicea , Paul Fendley
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