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Title: Charge carrier holes and Majorana fermions

Authors:
;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1356273
Grant/Contract Number:
SC0010544
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 95; Journal Issue: 20; Related Information: CHORUS Timestamp: 2017-05-09 22:12:55; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Liang, Jingcheng, and Lyanda-Geller, Yuli. Charge carrier holes and Majorana fermions. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.95.201404.
Liang, Jingcheng, & Lyanda-Geller, Yuli. Charge carrier holes and Majorana fermions. United States. doi:10.1103/PhysRevB.95.201404.
Liang, Jingcheng, and Lyanda-Geller, Yuli. Tue . "Charge carrier holes and Majorana fermions". United States. doi:10.1103/PhysRevB.95.201404.
@article{osti_1356273,
title = {Charge carrier holes and Majorana fermions},
author = {Liang, Jingcheng and Lyanda-Geller, Yuli},
abstractNote = {},
doi = {10.1103/PhysRevB.95.201404},
journal = {Physical Review B},
number = 20,
volume = 95,
place = {United States},
year = {Tue May 09 00:00:00 EDT 2017},
month = {Tue May 09 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevB.95.201404

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  • We discuss statistics of vortices having zero-energy non-Abelian Majorana fermions inside them. Considering the system of multiple non-Abelian vortices, we derive a non-Abelian statistics that differs from the previously derived non-Abelian statistics. The non-Abelian statistics presented here is given by a tensor product of two different groups, namely the non-Abelian statistics obeyed by the Abelian Majorana fermions and the Coxeter group. The Coxeter group is a symmetric group related to the symmetry of polytopes in a high-dimensional space. As the simplest example, we consider the case in which a vortex contains three Majorana fermions that are mixed with each othermore » under the SO(3) transformations. We concretely present the representation of the Coxeter group in our case and its geometrical expressions in the high-dimensional Hilbert space constructed from non-Abelian Majorana fermions.« less
  • Majoranafermions,quantumparticleswithnon-Abelianexchangestatistics,arenotonlyoffundamentalimportance,butalsobuildingblocksforfault-tolerantquantumcomputation.AlthoughcertainexperimentalbreakthroughsforobservingMajoranafermionshavebeenmaderecently,theirconclusivedetectionisstillchallengingduetothelackofpropermaterialpropertiesoftheunderlinedexperimentalsystems.HereweproposeaplatformforMajoranafermionsbasedonedgestatesofcertainnontopologicaltwo-dimensionalsemiconductorswithstrongspin-orbitcoupling,suchasmonolayergroup-VItransition-metaldichalcogenides(TMDs).Using rst-principlescalculationsandtight-bindingmodeling,weshowthatzigzagedgesofmonolayerTMDcanhostawellisolatedsingleedgebandwithstrongspin-orbit-couplingenergy.Combiningwithproximityinduceds-wavesuperconductivityandin-planemagnetic elds,thezigzagedgesupportsrobusttopologicalMajoranaboundstatesattheedgeends,althoughthetwo-dimensionalbulkitselfisnontopological.
  • We study the asymptotic behavior of the most general renormalizable theory of {ital N} charged fermions interacting with photons in 1+1 dimensions. We also show that in 1+1 dimensions Majorana fermions can interact with photons through a nonminimal coupling and we investigate the asymptotic behavior of such a theory with {ital N} flavors.