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

Title: Single-electron charge transfer into putative Majorana and trivial modes in individual vortices

Abstract

Majorana bound states are putative collective excitations in solids that exhibit the self-conjugate property of Majorana fermions—they are their own antiparticles. In iron-based superconductors, zero-energy states in vortices have been reported as potential Majorana bound states, but the evidence remains controversial. Here, we use scanning tunneling noise spectroscopy to study the tunneling process into vortex bound states in the conventional superconductor NbSe2, and in the putative Majorana platform FeTe0.55Se0.45. We find that tunneling into vortex bound states in both cases exhibits charge transfer of a single electron charge. Our data for the zero-energy bound states in FeTe0.55Se0.45 exclude the possibility of Yu–Shiba–Rusinov states and are consistent with both Majorana bound states and trivial vortex bound states. Our results open an avenue for investigating the exotic states in vortex cores and for future Majorana devices, although further theoretical investigations involving charge dynamics and superconducting tips are necessary.

Authors:
ORCiD logo [1];  [2];  [1]; ORCiD logo [3];  [1]; ORCiD logo [1];  [1]; ORCiD logo [4]; ORCiD logo [1]
  1. Leiden Univ. (Netherlands)
  2. Leiden Univ. (Netherlands); Delft Univ. of Technology (Netherlands)
  3. Yonsei Univ., Seoul (Korea, Republic of)
  4. Brookhaven National Laboratory (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Dept.
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); National Research Foundation of Korea (NRF); European Research Council (ERC)
OSTI Identifier:
1992857
Report Number(s):
BNL-224631-2023-JAAM
Journal ID: ISSN 2041-1723; TRN: US2404251
Grant/Contract Number:  
SC0012704
Resource Type:
Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 14; Journal Issue: 1; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; scanning probe microscopy; superconducting properties and materials; topological insulators

Citation Formats

Ge, Jian-Feng, Bastiaans, Koen M., Chatzopoulos, Damianos, Cho, Doohee, Tromp, Willem O., Benschop, Tjerk, Niu, Jiasen, Gu, Genda, and Allan, Milan P. Single-electron charge transfer into putative Majorana and trivial modes in individual vortices. United States: N. p., 2023. Web. doi:10.1038/s41467-023-39109-w.
Ge, Jian-Feng, Bastiaans, Koen M., Chatzopoulos, Damianos, Cho, Doohee, Tromp, Willem O., Benschop, Tjerk, Niu, Jiasen, Gu, Genda, & Allan, Milan P. Single-electron charge transfer into putative Majorana and trivial modes in individual vortices. United States. https://doi.org/10.1038/s41467-023-39109-w
Ge, Jian-Feng, Bastiaans, Koen M., Chatzopoulos, Damianos, Cho, Doohee, Tromp, Willem O., Benschop, Tjerk, Niu, Jiasen, Gu, Genda, and Allan, Milan P. Thu . "Single-electron charge transfer into putative Majorana and trivial modes in individual vortices". United States. https://doi.org/10.1038/s41467-023-39109-w. https://www.osti.gov/servlets/purl/1992857.
@article{osti_1992857,
title = {Single-electron charge transfer into putative Majorana and trivial modes in individual vortices},
author = {Ge, Jian-Feng and Bastiaans, Koen M. and Chatzopoulos, Damianos and Cho, Doohee and Tromp, Willem O. and Benschop, Tjerk and Niu, Jiasen and Gu, Genda and Allan, Milan P.},
abstractNote = {Majorana bound states are putative collective excitations in solids that exhibit the self-conjugate property of Majorana fermions—they are their own antiparticles. In iron-based superconductors, zero-energy states in vortices have been reported as potential Majorana bound states, but the evidence remains controversial. Here, we use scanning tunneling noise spectroscopy to study the tunneling process into vortex bound states in the conventional superconductor NbSe2, and in the putative Majorana platform FeTe0.55Se0.45. We find that tunneling into vortex bound states in both cases exhibits charge transfer of a single electron charge. Our data for the zero-energy bound states in FeTe0.55Se0.45 exclude the possibility of Yu–Shiba–Rusinov states and are consistent with both Majorana bound states and trivial vortex bound states. Our results open an avenue for investigating the exotic states in vortex cores and for future Majorana devices, although further theoretical investigations involving charge dynamics and superconducting tips are necessary.},
doi = {10.1038/s41467-023-39109-w},
journal = {Nature Communications},
number = 1,
volume = 14,
place = {United States},
year = {Thu Jun 08 00:00:00 EDT 2023},
month = {Thu Jun 08 00:00:00 EDT 2023}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

Fig. 1 Fig. 1 : Local tunneling shot noise measurements of vortex bound states. a Schematic illustration of the scanning tunneling noise microscope setup. A bias voltage (Vbias) is applied between the superconducting (SC) tip and sample, while the cylinder represents a SC vortex. If the tunneling process is a single-electron (gray)more » into vortex bound states (red arrow), an effective charge q* = 1e is transferred from the tip to the vortex. When Andreev reflection takes place (blue arrows), a hole (white) is reflected, and the effective charge doubles q* = 2e. HF and LF stand for the high- and low-frequency amplifier, respectively. STM, scanning tunneling microscope. b,c, Full flux quantum (h/2e) vortex lattice in NbSe2 (b) and FeSe0.55Te0.45 (c) revealed by spatially resolved differential conductance at a magnetic field of 0.1 T. Setup conditions: b, Vset = -5 mV, Iset = 200 pA; c, Vset = 10 mV, Iset = 250 pA.« less

Save / Share:

Works referenced in this record:

Imaging doubled shot noise in a Josephson scanning tunneling microscope
journal, September 2019


Shot noise in a Majorana fermion chain
journal, April 2011


Theory of Caroli–de Gennes–Matricon analogs in full-shell hybrid nanowires
journal, April 2023


Proposal to measure the quasiparticle poisoning time of Majorana bound states
journal, April 2014


Coherent and Incoherent Tunneling into Yu-Shiba-Rusinov States Revealed by Atomic Scale Shot-Noise Spectroscopy
journal, June 2022


High-resolution studies of the Majorana atomic chain platform
journal, November 2016

  • Feldman, Benjamin E.; Randeria, Mallika T.; Li, Jian
  • Nature Physics, Vol. 13, Issue 3
  • DOI: 10.1038/nphys3947

The bound excitations of a single vortex in a pure type II superconductor
journal, September 1968


Low-energy theory of transport in Majorana wire junctions
journal, July 2016


Topological Superconductivity on the Surface of Fe-Based Superconductors
journal, July 2016


Near zero energy Caroli–de Gennes–Matricon vortex states in the presence of impurities
journal, May 2023

  • de Mendonça, Bruna S.; Manesco, Antonio L. R.; Sandler, Nancy
  • Physical Review B, Vol. 107, Issue 18
  • DOI: 10.1103/PhysRevB.107.184509

Self-consistent electronic structure of a vortex line in a type-II superconductor
journal, April 1991


Weak Measurement Protocols for Majorana Bound State Identification
journal, March 2020


Majorana fermion induced nonlocal current correlations in spin-orbit coupled superconducting wires
journal, August 2013


Nearly quantized conductance plateau of vortex zero mode in an iron-based superconductor
journal, December 2019


End States and Subgap Structure in Proximity-Coupled Chains of Magnetic Adatoms
journal, November 2015


Vortex-core structure observed with a scanning tunneling microscope
journal, May 1990


Discrete energy levels of Caroli-de Gennes-Matricon states in quantum limit in FeTe0.55Se0.45
journal, March 2018


Majorana fermions in chiral topological ferromagnetic nanowires
journal, March 2015


Atomic-scale visualization of electronic fluid flow
journal, August 2021


From Andreev to Majorana bound states in hybrid superconductor–semiconductor nanowires
journal, September 2020

  • Prada, Elsa; San-Jose, Pablo; de Moor, Michiel W. A.
  • Nature Reviews Physics, Vol. 2, Issue 10
  • DOI: 10.1038/s42254-020-0228-y

Amplifier for scanning tunneling microscopy at MHz frequencies
journal, September 2018

  • Bastiaans, K. M.; Benschop, T.; Chatzopoulos, D.
  • Review of Scientific Instruments, Vol. 89, Issue 9
  • DOI: 10.1063/1.5043267

Quantized Conductance at the Majorana Phase Transition in a Disordered Superconducting Wire
journal, January 2011


A strongly inhomogeneous superfluid in an iron-based superconductor
journal, July 2019


Direct observation of a fractional charge
journal, September 1997

  • de-Picciotto, R.; Reznikov, M.; Heiblum, M.
  • Nature, Vol. 389, Issue 6647
  • DOI: 10.1038/38241

Observing Majorana bound States in p -Wave Superconductors Using Noise Measurements in Tunneling Experiments
journal, June 2007


Competing Vortex Topologies in Iron-Based Superconductors
journal, December 2022


Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
journal, June 2019


Modulation of Majorana-Induced Current Cross-Correlations by Quantum Dots
journal, July 2013


Spatially dispersing Yu-Shiba-Rusinov states in the unconventional superconductor FeTe0.55Se0.45
journal, January 2021


Quantum Suppression of Shot Noise in Atom-Size Metallic Contacts
journal, February 1999


Non-Majorana states yield nearly quantized conductance in proximatized nanowires
journal, January 2021


Heat Conduction in the Vortex State of N b S e 2 : Evidence for Multiband Superconductivity
journal, March 2003


Direct evidence for Cooper pairing without a spectral gap in a disordered superconductor above T c
journal, October 2021

  • Bastiaans, Koen M.; Chatzopoulos, Damianos; Ge, Jian-Feng
  • Science, Vol. 374, Issue 6567
  • DOI: 10.1126/science.abe3987

Evolution of Density of States and a Spin-Resolved Checkerboard-Type Pattern Associated with the Majorana Bound State
journal, October 2015


Shot noise and differential conductance as signatures of putative topological superconductivity in FeSe0.45Te0.55
journal, June 2022


Robust Majorana Conductance Peaks for a Superconducting Lead
journal, December 2015


Majorana Zero Mode Detected with Spin Selective Andreev Reflection in the Vortex of a Topological Superconductor
journal, June 2016


Fingerprints of Majorana fermions in current-correlation measurements from a superconducting tunnel microscope
journal, September 2017


Probing the existence and dynamics of Majorana fermion via transport through a quantum dot
journal, September 2012


Probing Majorana physics in quantum-dot shot-noise experiments
journal, February 2015


Tunneling Processes into Localized Subgap States in Superconductors
journal, August 2015


Identifying Majorana bound states by tunneling shot-noise tomography
journal, September 2021


Majorana Fermion Induced Resonant Andreev Reflection
journal, December 2009


Atomic-scale interface engineering of Majorana edge modes in a 2D magnet-superconductor hybrid system
journal, July 2019

  • Palacio-Morales, Alexandra; Mascot, Eric; Cocklin, Sagen
  • Science Advances, Vol. 5, Issue 7
  • DOI: 10.1126/sciadv.aav6600

Majorana-assisted nonlocal electron transport through a floating topological superconductor
journal, August 2015


Scalable Majorana vortex modes in iron-based superconductors
journal, February 2020


Giant Shot Noise from Majorana Zero Modes in Topological Trijunctions
journal, March 2019


Luttinger liquid physics in the superconductor vortex core
journal, December 2000


Shot noise in mesoscopic conductors
journal, September 2000


Anisotropic non-split zero-energy vortex bound states in a conventional superconductor
journal, September 2021

  • Kim, Howon; Nagai, Yuki; Rózsa, Levente
  • Applied Physics Reviews, Vol. 8, Issue 3
  • DOI: 10.1063/5.0055839

Evidence for Majorana bound states in an iron-based superconductor
journal, August 2018


Splitting of a Cooper Pair by a Pair of Majorana Bound States
journal, September 2008


Signatures of Majorana Zero Modes in Spin-Resolved Current Correlations
journal, April 2015