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

Title: Five-Membered Rings Create Off-Zero Modes in Nanographene

Abstract

The low-energy electronic structure of nanographenes can be tuned through zero-energy π-electron states, typically referred to as zero-modes. Customizable electronic and magnetic structures have been engineered by coupling zero-modes through exchange and hybridization interactions. Manipulation of the energy of such states, however, has not yet received significant attention. We find that attaching a five-membered ring to a zigzag edge hosting a zero-mode perturbs the energy of that mode and turns it into an off-zero mode: a localized state with a distinctive electron-accepting character. Whereas the end states of typical 7- atom-wide armchair graphene nanoribbons (7-AGNRs) lose their electrons when physisorbed on Au(111) (due to its high work function), converting them into off-zero modes by introducing cyclopentadienyl five-membered rings allows them to retain their single-electron occupation. This approach enables the magnetic properties of 7-AGNR end states to be explored using scanning tunneling microscopy (STM) on a gold substrate. We find a gradual decrease of the magnetic coupling between offzero mode end states as a function of GNR length, and evolution from a more closed-shell to a more open-shell ground state.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [3]; ORCiD logo [4]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [5]; ORCiD logo [6]
  1. Department of Physics, University of California, Berkeley, California 94720, United States, Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
  2. Department of Chemistry, University of California, Berkeley, California 94720, United States
  3. Institute of Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), 1015 Lausanne, Switzerland
  4. Department of Physics, University of California, Berkeley, California 94720, United States, Department of Chemistry, University of California, Berkeley, California 94720, United States, Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States, Kavli Energy NanoSciences Institute at the University of California, Berkeley and the Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
  5. Department of Chemistry, University of California, Berkeley, California 94720, United States, Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States, Kavli Energy NanoSciences Institute at the University of California, Berkeley and the Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States, Bakar Institute of Digital Materials for the Planet, Division of Computing, Data Science, and Society, University of California, Berkeley, California 94720, United States
  6. Department of Physics, University of California, Berkeley, California 94720, United States, Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States, Kavli Energy NanoSciences Institute at the University of California, Berkeley and the Lawrence Berkeley National Laboratory, Berkeley, California 94720, United States
Publication Date:
Research Org.:
Univ. of California, Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE); US Department of the Navy, Office of Naval Research (ONR); National Science Foundation (NSF); Swiss National Science Foundation (SNSF)
OSTI Identifier:
2228544
Alternate Identifier(s):
OSTI ID: 2263358
Grant/Contract Number:  
SC0023105; AC02-05-CH11231; N00014-19-1-2503; N00014-19-1-2596; CHE-2204252; 172543
Resource Type:
Published Article
Journal Name:
ACS Nano
Additional Journal Information:
Journal Name: ACS Nano Journal Volume: 17 Journal Issue: 24; Journal ID: ISSN 1936-0851
Publisher:
American Chemical Society
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; nanographenes; five-membered rings; electronic structure; magnetic ground state; open shell; zero-modes; scanning tunneling microscopy; aromatic compounds; energy; hydrocarbons; quantum mechanics

Citation Formats

Jacobse, Peter H., Daugherty, Michael C., Čerņevičs, Kristia̅ns, Wang, Ziyi, McCurdy, Ryan D., Yazyev, Oleg V., Fischer, Felix R., and Crommie, Michael F. Five-Membered Rings Create Off-Zero Modes in Nanographene. United States: N. p., 2023. Web. doi:10.1021/acsnano.3c06006.
Jacobse, Peter H., Daugherty, Michael C., Čerņevičs, Kristia̅ns, Wang, Ziyi, McCurdy, Ryan D., Yazyev, Oleg V., Fischer, Felix R., & Crommie, Michael F. Five-Membered Rings Create Off-Zero Modes in Nanographene. United States. https://doi.org/10.1021/acsnano.3c06006
Jacobse, Peter H., Daugherty, Michael C., Čerņevičs, Kristia̅ns, Wang, Ziyi, McCurdy, Ryan D., Yazyev, Oleg V., Fischer, Felix R., and Crommie, Michael F. Tue . "Five-Membered Rings Create Off-Zero Modes in Nanographene". United States. https://doi.org/10.1021/acsnano.3c06006.
@article{osti_2228544,
title = {Five-Membered Rings Create Off-Zero Modes in Nanographene},
author = {Jacobse, Peter H. and Daugherty, Michael C. and Čerņevičs, Kristia̅ns and Wang, Ziyi and McCurdy, Ryan D. and Yazyev, Oleg V. and Fischer, Felix R. and Crommie, Michael F.},
abstractNote = {The low-energy electronic structure of nanographenes can be tuned through zero-energy π-electron states, typically referred to as zero-modes. Customizable electronic and magnetic structures have been engineered by coupling zero-modes through exchange and hybridization interactions. Manipulation of the energy of such states, however, has not yet received significant attention. We find that attaching a five-membered ring to a zigzag edge hosting a zero-mode perturbs the energy of that mode and turns it into an off-zero mode: a localized state with a distinctive electron-accepting character. Whereas the end states of typical 7- atom-wide armchair graphene nanoribbons (7-AGNRs) lose their electrons when physisorbed on Au(111) (due to its high work function), converting them into off-zero modes by introducing cyclopentadienyl five-membered rings allows them to retain their single-electron occupation. This approach enables the magnetic properties of 7-AGNR end states to be explored using scanning tunneling microscopy (STM) on a gold substrate. We find a gradual decrease of the magnetic coupling between offzero mode end states as a function of GNR length, and evolution from a more closed-shell to a more open-shell ground state.},
doi = {10.1021/acsnano.3c06006},
journal = {ACS Nano},
number = 24,
volume = 17,
place = {United States},
year = {Tue Dec 05 00:00:00 EST 2023},
month = {Tue Dec 05 00:00:00 EST 2023}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1021/acsnano.3c06006

Save / Share:

Works referenced in this record:

Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

New advances in nanographene chemistry
journal, January 2015

  • Narita, Akimitsu; Wang, Xiao-Ye; Feng, Xinliang
  • Chemical Society Reviews, Vol. 44, Issue 18
  • DOI: 10.1039/C5CS00183H

On‐Surface Synthesis and Characterization of Acene‐Based Nanoribbons Incorporating Four‐Membered Rings
journal, July 2019

  • Sánchez‐Sánchez, Carlos; Dienel, Thomas; Nicolaï, Adrien
  • Chemistry – A European Journal, Vol. 25, Issue 52
  • DOI: 10.1002/chem.201901410

Pseudo-atomic orbital behavior in graphene nanoribbons with four-membered rings
journal, December 2021

  • Jacobse, Peter H.; Jin, Zexin; Jiang, Jingwei
  • Science Advances, Vol. 7, Issue 52
  • DOI: 10.1126/sciadv.abl5892

Graphene spintronics
journal, October 2014

  • Han, Wei; Kawakami, Roland K.; Gmitra, Martin
  • Nature Nanotechnology, Vol. 9, Issue 10
  • DOI: 10.1038/nnano.2014.214

Some Studies in Molecular Orbital Theory I. Resonance Structures and Molecular Orbitals in Unsaturated Hydrocarbons
journal, March 1950

  • Longuet‐Higgins, H. C.
  • The Journal of Chemical Physics, Vol. 18, Issue 3
  • DOI: 10.1063/1.1747618

Engineering spin exchange in nonbipartite graphene zigzag edges
journal, September 2016


Programmable Fabrication of Monodisperse Graphene Nanoribbons via Deterministic Iterative Synthesis
journal, August 2022

  • Yin, Jiangliang; Jacobse, Peter H.; Pyle, Daniel
  • Journal of the American Chemical Society, Vol. 144, Issue 35
  • DOI: 10.1021/jacs.2c05670

Projector augmented-wave method
journal, December 1994


Hybrid functionals based on a screened Coulomb potential
journal, May 2003

  • Heyd, Jochen; Scuseria, Gustavo E.; Ernzerhof, Matthias
  • The Journal of Chemical Physics, Vol. 118, Issue 18
  • DOI: 10.1063/1.1564060

On-Surface Synthesis of Atomically Precise Graphene Nanoribbons
journal, February 2016

  • Talirz, Leopold; Ruffieux, Pascal; Fasel, Roman
  • Advanced Materials, Vol. 28, Issue 29
  • DOI: 10.1002/adma.201505738

Investigating the edge state of graphene nanoribbons by a chemical approach: Synthesis and magnetic properties of zigzag-edged nanographene molecules
journal, December 2013

  • Konishi, Akihito; Hirao, Yasukazu; Kurata, Hiroyuki
  • Solid State Communications, Vol. 175-176
  • DOI: 10.1016/j.ssc.2013.07.005

Syntheses and Properties of Open-Shell π-Conjugated Molecules
journal, September 2021


On-surface synthesis and characterization of teranthene and hexanthene: ultrashort graphene nanoribbons with mixed armchair and zigzag edges
journal, January 2023

  • Borin Barin, Gabriela; Di Giovannantonio, Marco; Lohr, Thorsten G.
  • Nanoscale, Vol. 15, Issue 41
  • DOI: 10.1039/D3NR03736C

Controlled vertical manipulation of single CO molecules with the scanning tunneling microscope: A route to chemical contrast
journal, July 1997

  • Bartels, L.; Meyer, G.; Rieder, K. -H.
  • Applied Physics Letters, Vol. 71, Issue 2
  • DOI: 10.1063/1.119503

Observation of fractional edge excitations in nanographene spin chains
journal, October 2021


Triangulenes: From Precursor Design to On‐Surface Synthesis and Characterization
journal, February 2020

  • Su, Jie; Telychko, Mykola; Song, Shaotang
  • Angewandte Chemie International Edition, Vol. 59, Issue 20
  • DOI: 10.1002/anie.201913783

Single spin localization and manipulation in graphene open-shell nanostructures
journal, January 2019


Shape of the Kondo resonance
journal, January 1992


From ultrasoft pseudopotentials to the projector augmented-wave method
journal, January 1999


Doping with Graphitic Nitrogen Triggers Ferromagnetism in Graphene
journal, February 2017

  • Błoński, Piotr; Tuček, Jiří; Sofer, Zdeněk
  • Journal of the American Chemical Society, Vol. 139, Issue 8
  • DOI: 10.1021/jacs.6b12934

Stability of edge magnetism in functionalized zigzag graphene nanoribbons
journal, November 2017


Inducing metallicity in graphene nanoribbons via zero-mode superlattices
journal, September 2020


Synergetic Bottom-Up Synthesis of Graphene Nanoribbons by Matrix-Assisted Direct Transfer
journal, March 2021

  • McCurdy, Ryan D.; Jacobse, Peter H.; Piskun, Ilya
  • Journal of the American Chemical Society, Vol. 143, Issue 11
  • DOI: 10.1021/jacs.1c01355

Covalent C–N Bond Formation through a Surface Catalyzed Thermal Cyclodehydrogenation
journal, February 2020

  • Piskun, Ilya; Blackwell, Raymond; Jornet-Somoza, Joaquim
  • Journal of the American Chemical Society, Vol. 142, Issue 8
  • DOI: 10.1021/jacs.9b13507

A comparison of singlet and triplet states for one- and two-dimensional graphene nanoribbons using multireference theory
journal, June 2014

  • Horn, Shawn; Plasser, Felix; Müller, Thomas
  • Theoretical Chemistry Accounts, Vol. 133, Issue 8
  • DOI: 10.1007/s00214-014-1511-8

Solution and on-surface synthesis of structurally defined graphene nanoribbons as a new family of semiconductors
journal, January 2019

  • Narita, Akimitsu; Chen, Zongping; Chen, Qiang
  • Chemical Science, Vol. 10, Issue 4
  • DOI: 10.1039/C8SC03780A

Two theorems on the Hubbard model
journal, March 1989


Quantum computation with graphene nanoribbon
journal, December 2009


Multiplicity of the ground state of large alternant organic molecules with conjugated bonds: (Do Organic Ferromagnetics Exist?)
journal, January 1978

  • Ovchinnikov, Alexandr A.
  • Theoretica Chimica Acta, Vol. 47, Issue 4
  • DOI: 10.1007/BF00549259

Coupled Spin States in Armchair Graphene Nanoribbons with Asymmetric Zigzag Edge Extensions
journal, July 2020


Rationally Designed Topological Quantum Dots in Bottom-Up Graphene Nanoribbons
journal, November 2021


Topological band engineering of graphene nanoribbons
journal, August 2018


Open-Shell Nonbenzenoid Nanographenes Containing Two Pairs of Pentagonal and Heptagonal Rings
journal, July 2019

  • Liu, Junzhi; Mishra, Shantanu; Pignedoli, Carlo A.
  • Journal of the American Chemical Society, Vol. 141, Issue 30
  • DOI: 10.1021/jacs.9b04718

On-surface synthesis of graphene nanostructures with π-magnetism
journal, January 2021

  • Song, Shaotang; Su, Jie; Telychko, Mykola
  • Chemical Society Reviews, Vol. 50, Issue 5
  • DOI: 10.1039/D0CS01060J

Suppression of electron–vibron coupling in graphene nanoribbons contacted via a single atom
journal, June 2013

  • van der Lit, Joost; Boneschanscher, Mark P.; Vanmaekelbergh, Daniël
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms3023

Exchange Interactions and Intermolecular Hybridization in a Spin-1/2 Nanographene Dimer
journal, October 2023


Energy Band-Gap Engineering of Graphene Nanoribbons
journal, May 2007


Open-shell polycyclic aromatic hydrocarbons
journal, January 2012


Efficient pseudopotentials for plane-wave calculations
journal, January 1991


Energy Gaps in Graphene Nanoribbons
journal, November 2006


Synthetic Tailoring of Graphene Nanostructures with Zigzag‐Edged Topologies: Progress and Perspectives
journal, October 2020

  • Liu, Junzhi; Feng, Xinliang
  • Angewandte Chemie International Edition, Vol. 59, Issue 52
  • DOI: 10.1002/anie.202008838

Topological frustration induces unconventional magnetism in a nanographene
journal, December 2019


On-Surface Synthesis of Indenofluorene Polymers by Oxidative Five-Membered Ring Formation
journal, February 2018

  • Di Giovannantonio, Marco; Urgel, José I.; Beser, Uliana
  • Journal of the American Chemical Society, Vol. 140, Issue 10
  • DOI: 10.1021/jacs.8b00587

Charge transport in topological graphene nanoribbons and nanoribbon heterostructures
journal, March 2022


Topological Defect-Induced Magnetism in a Nanographene
journal, January 2020

  • Mishra, Shantanu; Beyer, Doreen; Berger, Reinhard
  • Journal of the American Chemical Society, Vol. 142, Issue 3
  • DOI: 10.1021/jacs.9b09212

Magnetism of Topological Boundary States Induced by Boron Substitution in Graphene Nanoribbons
journal, September 2020


On-surface synthesis of graphene nanoribbons with zigzag edge topology
journal, March 2016

  • Ruffieux, Pascal; Wang, Shiyong; Yang, Bo
  • Nature, Vol. 531, Issue 7595
  • DOI: 10.1038/nature17151

Bottom-up Assembly of Nanoporous Graphene with Emergent Electronic States
journal, July 2020

  • Jacobse, Peter H.; McCurdy, Ryan D.; Jiang, Jingwei
  • Journal of the American Chemical Society, Vol. 142, Issue 31
  • DOI: 10.1021/jacs.0c05235

Atomically precise graphene nanoribbons: interplay of structural and electronic properties
journal, January 2021

  • Houtsma, R. S. Koen; de la Rie, Joris; Stöhr, Meike
  • Chemical Society Reviews, Vol. 50, Issue 11
  • DOI: 10.1039/D0CS01541E

Spin splitting of dopant edge state in magnetic zigzag graphene nanoribbons
journal, December 2021


Aza-Triangulene: On-Surface Synthesis and Electronic and Magnetic Properties
journal, March 2022

  • Wang, Tao; Berdonces-Layunta, Alejandro; Friedrich, Niklas
  • Journal of the American Chemical Society, Vol. 144, Issue 10
  • DOI: 10.1021/jacs.1c12618

Localization of electronic wave functions due to local topology
journal, October 1986


Topological Defects Induced High-Spin Quartet State in Truxene-Based Molecular Graphenoids
journal, February 2023


Magnetic Correlations in Short and Narrow Graphene Armchair Nanoribbons
journal, August 2013


On-Surface Synthesis of Antiaromatic and Open-Shell Indeno[2,1- b ]fluorene Polymers and Their Lateral Fusion into Porous Ribbons
journal, July 2019

  • Di Giovannantonio, Marco; Eimre, Kristjan; Yakutovich, Aliaksandr V.
  • Journal of the American Chemical Society, Vol. 141, Issue 31
  • DOI: 10.1021/jacs.9b05335

A Mnemonic Device for Molecular Orbital Energies
journal, March 1953

  • Frost, Arthur A.; Musulin, Boris
  • The Journal of Chemical Physics, Vol. 21, Issue 3
  • DOI: 10.1063/1.1698970

The SIESTA method for ab initio order- N materials simulation
journal, March 2002

  • Soler, José M.; Artacho, Emilio; Gale, Julian D.
  • Journal of Physics: Condensed Matter, Vol. 14, Issue 11
  • DOI: 10.1088/0953-8984/14/11/302

Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


A novel method achieving ultra-high geometrical resolution in scanning tunnelling microscopy
journal, May 2008


Magnetic edge states and coherent manipulation of graphene nanoribbons
journal, May 2018


Renormalization of spin excitations and Kondo effect in open-shell nanographenes
journal, August 2021


Defective Nanographenes Containing Seven-Five-Seven (7–5–7)-Membered Rings
journal, January 2021

  • Fei, Yiyang; Fu, Yubin; Bai, Xueqin
  • Journal of the American Chemical Society, Vol. 143, Issue 5
  • DOI: 10.1021/jacs.0c12116

Spin excitations and correlations in scanning tunneling spectroscopy
journal, June 2015


Electrical spin manipulation in graphene nanostructures
journal, May 2018


Magnetic Interactions in Substitutional Core-Doped Graphene Nanoribbons
journal, July 2022

  • Wen, Ethan Chi Ho; Jacobse, Peter H.; Jiang, Jingwei
  • Journal of the American Chemical Society, Vol. 144, Issue 30
  • DOI: 10.1021/jacs.2c04432

Synthesis and Characterization of Quarteranthene: Elucidating the Characteristics of the Edge State of Graphene Nanoribbons at the Molecular Level
journal, January 2013

  • Konishi, Akihito; Hirao, Yasukazu; Matsumoto, Kouzou
  • Journal of the American Chemical Society, Vol. 135, Issue 4
  • DOI: 10.1021/ja309599m

Fermi-Level Engineering of Nitrogen Core-Doped Armchair Graphene Nanoribbons
journal, August 2023

  • Wen, Ethan Chi Ho; Jacobse, Peter H.; Jiang, Jingwei
  • Journal of the American Chemical Society, Vol. 145, Issue 35
  • DOI: 10.1021/jacs.3c05755

Topological Phases in Graphene Nanoribbons: Junction States, Spin Centers, and Quantum Spin Chains
journal, August 2017


Atomically precise graphene nanoribbon heterojunctions from a single molecular precursor
journal, September 2017

  • Nguyen, Giang D.; Tsai, Hsin-Zon; Omrani, Arash A.
  • Nature Nanotechnology, Vol. 12, Issue 11
  • DOI: 10.1038/nnano.2017.155

Aryl Halide C–C Coupling on Ge(001):H Surfaces
journal, November 2015

  • Olszowski, P.; Zapotoczny, B.; Prauzner-Bechcicki, J. S.
  • The Journal of Physical Chemistry C, Vol. 119, Issue 49
  • DOI: 10.1021/acs.jpcc.5b08883

Nanographenes and Graphene Nanoribbons as Multitalents of Present and Future Materials Science
journal, June 2022

  • Gu, Yanwei; Qiu, Zijie; Müllen, Klaus
  • Journal of the American Chemical Society, Vol. 144, Issue 26
  • DOI: 10.1021/jacs.2c02491

Emergence of magnetism in graphene materials and nanostructures
journal, April 2010


Spin confinement in the superlattices of graphene ribbons
journal, April 2008

  • Topsakal, M.; Sevinçli, H.; Ciraci, S.
  • Applied Physics Letters, Vol. 92, Issue 17
  • DOI: 10.1063/1.2919525

Engineering of robust topological quantum phases in graphene nanoribbons
journal, August 2018


Theoretical studies of graphene nanoribbon quantum dot qubits
journal, December 2015


Carbon-based nanostructures as a versatile platform for tunable π-magnetism
journal, September 2022

  • de Oteyza, Dimas G.; Frederiksen, Thomas
  • Journal of Physics: Condensed Matter, Vol. 34, Issue 44
  • DOI: 10.1088/1361-648X/ac8a7f

Topological Frustration in Graphene Nanoflakes: Magnetic Order and Spin Logic Devices
journal, April 2009


WSXM : A software for scanning probe microscopy and a tool for nanotechnology
journal, January 2007

  • Horcas, I.; Fernández, R.; Gómez-Rodríguez, J. M.
  • Review of Scientific Instruments, Vol. 78, Issue 1
  • DOI: 10.1063/1.2432410

Graphene and graphite nanoribbons: Morphology, properties, synthesis, defects and applications
journal, August 2010