DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Crystalline-Symmetry-Protected Helical Majorana Modes in the Iron Pnictides

Journal Article · · Physical Review Letters
 [1];  [2]
  1. Rutgers Univ., Piscataway, NJ (United States)
  2. Rutgers Univ., Piscataway, NJ (United States); Univ. of London, Surrey (United Kingdom)

We propose that propagating one-dimensional Majorana fermions will develop in the vortex cores of certain iron-based superconductors, most notably Li(Fe1–xCox) As. A key ingredient of this proposal is the 3D Dirac cones recently observed in photoemission experiments. Using an effective Hamiltonian around the Γ–Z line we demonstrate the development of gapless one-dimensional helical Majorana modes, protected by C4 symmetry. A topological index is derived which links the helical Majorana modes to the presence of monopoles in the Berry curvature of the normal state. Finally, we present various experimental consequences of this theory and discuss its possible connections with cosmic strings.

Research Organization:
Rutgers Univ., Piscataway, NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-99ER45790; GBMF5305
OSTI ID:
1610437
Alternate ID(s):
OSTI ID: 1515605
Journal Information:
Physical Review Letters, Vol. 122, Issue 20; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (45)

Index calculations for the fermion-vortex system journal November 1981
Weyl and Dirac semimetals in three-dimensional solids journal January 2018
Robust and Clean Majorana Zero Mode in the Vortex Core of High-Temperature Superconductor ( Li 0.84 Fe 0.16 ) OHFeSe journal December 2018
Spin-Orbit Interactions and the Nematicity Observed in the Fe-Based Superconductors journal April 2015
Electronic structure of topological superconductors in the presence of a vortex lattice journal October 2015
Theory of topological spin current in noncentrosymmetric superconductors journal February 2009
Vector field controlled vortex lattice symmetry in LiFeAs using scanning tunneling microscopy journal April 2019
Z 2 index for gapless fermionic modes in the vortex core of three-dimensional paired Dirac fermions journal April 2014
Time-Reversal-Invariant Topological Superconductors and Superfluids in Two and Three Dimensions journal May 2009
Topological insulators with inversion symmetry journal July 2007
Quantum Spin Hall Insulator State in HgTe Quantum Wells journal November 2007
Superconducting strings journal February 1985
Majorana Modes at the Ends of Superconductor Vortices in Doped Topological Insulators journal August 2011
Sr 2 RuO 4 : an electronic analogue of 3 He? journal November 1995
Topological nature of the FeSe 0.5 Te 0.5 superconductor journal September 2015
Topological Superconductivity on the Surface of Fe-Based Superconductors journal July 2016
Time-Reversal-Invariant Topological Superconductivity and Majorana Kramers Pairs journal August 2013
Iron-Based Layered Superconductor:  LaOFeP journal August 2006
Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid journal July 2018
Axion topological field theory of topological superconductors journal April 2013
Direct observation of spin–orbit coupling in iron-based superconductors journal December 2015
Topologically Protected Landau Level in the Vortex Lattice of a Weyl Superconductor journal July 2018
Observation of a robust zero-energy bound state in iron-based superconductor Fe(Te,Se) journal June 2015
Chiral Majorana fermion modes in a quantum anomalous Hall insulator–superconductor structure journal July 2017
Flat band in the core of topological defects: Bulk-vortex correspondence in topological superfluids with Fermi points journal March 2011
Classification of topological insulators and superconductors in three spatial dimensions journal November 2008
Multiple topological states in iron-based superconductors journal September 2018
Dirac and Weyl Superconductors in Three Dimensions journal July 2014
Spin-Fluctuation-Induced Non-Fermi-Liquid Behavior with Suppressed Superconductivity in LiFe 1 − x Co x As journal September 2015
Scanning tunneling microscopy/spectroscopy of vortices in LiFeAs journal June 2012
Observation of topological superconductivity on the surface of an iron-based superconductor journal March 2018
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator journal March 2008
Discrete energy levels of Caroli-de Gennes-Matricon states in quantum limit in FeTe0.55Se0.45 journal March 2018
Topological Insulators and Topological Superconductors book January 2013
Bound Fermion states on a vortex line in a type II superconductor journal May 1964
Weyl superconductors journal August 2012
Topological defects and gapless modes in insulators and superconductors journal September 2010
Observation of half-integer thermal Hall conductance journal June 2018
Zero modes of the vortex-fermion system journal December 1981
Helical Hinge Majorana Modes in Iron-Based Superconductors journal May 2019
Quantum Anomalous Vortex and Majorana Zero Mode in Iron-Based Superconductor Fe(Te,Se) journal February 2019
Superconductivity at 43 K in an iron-based layered compound LaO1-xFxFeAs journal April 2008
Evidence for Majorana bound states in an iron-based superconductor journal August 2018
Topological phases of noncentrosymmetric superconductors: Edge states, Majorana fermions, and non-Abelian statistics journal March 2009
Fermion zero modes in symmetric vortices in superfluid 3He journal May 1995

Figures / Tables (3)