Thermodynamics of a Potts-like model for a reconstructed zigzag edge in graphene nanoribbons

Rodrigues, J. N. B.; Gonçalves, P. A. D.; Santos, Jaime E.; Castro Neto, A. H.

doi:10.1103/PhysRevB.87.134204

Title: Thermodynamics of a Potts-like model for a reconstructed zigzag edge in graphene nanoribbons

Journal Article · Mon Apr 22 00:00:00 EDT 2013 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.87.134204· OSTI ID:1102120

Rodrigues, J. N. B.; Gonçalves, P. A. D.; Santos, Jaime E.; Castro Neto, A. H.

View Accepted Manuscript (Publisher)

Cite

Export

Save

Sponsoring Organization:: USDOE

OSTI ID:: 1102120

Journal Information:: Physical Review B, Journal Name: Physical Review B Vol. 87 Journal Issue: 13; ISSN 1098-0121

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 3 works

Citation information provided by
Web of Science

References (44)

Zigzag graphene nanoribbon edge reconstruction with Stone-Wales defects Rodrigues, J. N. B.; Gonçalves, P. A. D.; Rodrigues, N. F. G. Physical Review B, Vol. 84, Issue 15 https://doi.org/10.1103/PhysRevB.84.155435	journal	October 2011
Graphene Nanoribbons from Unzipped Carbon Nanotubes: Atomic Structures, Raman Spectroscopy, and Electrical Properties Xie, Liming; Wang, Hailiang; Jin, Chuanhong Journal of the American Chemical Society, Vol. 133, Issue 27 https://doi.org/10.1021/ja203860a	journal	July 2011
Spontaneous edge-defect formation and defect-induced conductance suppression in graphene nanoribbons Li, Jia; Li, Zuanyi; Zhou, Gang Physical Review B, Vol. 82, Issue 11 https://doi.org/10.1103/PhysRevB.82.115410	journal	September 2010
Electronic Structure and Stability of Semiconducting Graphene Nanoribbons Barone, Verónica; Hod, Oded; Scuseria, Gustavo E. Nano Letters, Vol. 6, Issue 12 https://doi.org/10.1021/nl0617033	journal	December 2006
Reconstruction and evaporation at graphene nanoribbon edges Lee, Gun-Do; Wang, C. Z.; Yoon, Euijoon Physical Review B, Vol. 81, Issue 19 https://doi.org/10.1103/PhysRevB.81.195419	journal	May 2010
Peculiar Localized State at Zigzag Graphite Edge Fujita, Mitsutaka; Wakabayashi, Katsunori; Nakada, Kyoko Journal of the Physical Society of Japan, Vol. 65, Issue 7 https://doi.org/10.1143/JPSJ.65.1920	journal	July 1996
Structure, Stability, Edge States, and Aromaticity of Graphene Ribbons Wassmann, Tobias; Seitsonen, Ari P.; Saitta, A. Marco Physical Review Letters, Vol. 101, Issue 9 https://doi.org/10.1103/PhysRevLett.101.096402	journal	August 2008
The electronic properties of graphene Castro Neto, A. H.; Guinea, F.; Peres, N. M. R. Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162 https://doi.org/10.1103/RevModPhys.81.109	journal	January 2009
Disorder Induced Localized States in Graphene Pereira, Vitor M.; Guinea, F.; Lopes dos Santos, J. M. B. Physical Review Letters, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevLett.96.036801	journal	January 2006
Room-Temperature All-Semiconducting Sub-10-nm Graphene Nanoribbon Field-Effect Transistors Wang, Xinran; Ouyang, Yijian; Li, Xiaolin Physical Review Letters, Vol. 100, Issue 20 https://doi.org/10.1103/PhysRevLett.100.206803	journal	May 2008
Quantum Manifestations of Graphene Edge Stress and Edge Instability: A First-Principles Study Huang, Bing; Liu, Miao; Su, Ninghai Physical Review Letters, Vol. 102, Issue 16 https://doi.org/10.1103/PhysRevLett.102.166404	journal	April 2009
Transparent, Conductive Graphene Electrodes for Dye-Sensitized Solar Cells Wang, Xuan; Zhi, Linjie; Müllen, Klaus Nano Letters, Vol. 8, Issue 1, p. 323-327 https://doi.org/10.1021/nl072838r	journal	January 2008
Conductance quantization and transport gaps in disordered graphene nanoribbons Mucciolo, E. R.; Castro Neto, A. H.; Lewenkopf, C. H. Physical Review B, Vol. 79, Issue 7 https://doi.org/10.1103/PhysRevB.79.075407	journal	February 2009
Energy Band-Gap Engineering of Graphene Nanoribbons Han, Melinda Y.; Özyilmaz, Barbaros; Zhang, Yuanbo Physical Review Letters, Vol. 98, Issue 20 https://doi.org/10.1103/PhysRevLett.98.206805	journal	May 2007
Two-dimensional gas of massless Dirac fermions in graphene Novoselov, K. S.; Geim, A. K.; Morozov, S. V. Nature, Vol. 438, Issue 7065, p. 197-200 https://doi.org/10.1038/nature04233	journal	November 2005
Direct Imaging of Lattice Atoms and Topological Defects in Graphene Membranes Meyer, Jannik C.; Kisielowski, C.; Erni, R. Nano Letters, Vol. 8, Issue 11 https://doi.org/10.1021/nl801386m	journal	November 2008
From graphene constrictions to single carbon chains Chuvilin, Andrey; Meyer, Jannik C.; Algara-Siller, Gerardo New Journal of Physics, Vol. 11, Issue 8 https://doi.org/10.1088/1367-2630/11/8/083019	journal	August 2009
Experimental observation of the quantum Hall effect and Berry's phase in graphene Zhang, Yuanbo; Tan, Yan-Wen; Stormer, Horst L. Nature, Vol. 438, Issue 7065, p. 201-204 https://doi.org/10.1038/nature04235	journal	November 2005
Statistical Mechanics Huang, Kerson; Holbrow, C. H. Physics Today, Vol. 18, Issue 1 https://doi.org/10.1063/1.3047170	journal	January 1965
Dirac boundary condition at the reconstructed zigzag edge of graphene van Ostaay, J. A. M.; Akhmerov, A. R.; Beenakker, C. W. J. Physical Review B, Vol. 84, Issue 19 https://doi.org/10.1103/PhysRevB.84.195434	journal	November 2011
The Band Theory of Graphite Wallace, P. R. Physical Review, Vol. 71, Issue 9 https://doi.org/10.1103/PhysRev.71.622	journal	May 1947
Special points for Brillouin-zone integrations Monkhorst, Hendrik J.; Pack, James D. Physical Review B, Vol. 13, Issue 12, p. 5188-5192 https://doi.org/10.1103/PhysRevB.13.5188	journal	June 1976
Electric Field Effect in Atomically Thin Carbon Films Novoselov, K. S. Science, Vol. 306, Issue 5696, p. 666-669 https://doi.org/10.1126/science.1102896	journal	October 2004
Relativistic separable dual-space Gaussian pseudopotentials from H to Rn Hartwigsen, C.; Goedecker, S.; Hutter, J. Physical Review B, Vol. 58, Issue 7 https://doi.org/10.1103/PhysRevB.58.3641	journal	August 1998
Colloquium : The transport properties of graphene: An introduction Peres, N. M. R. Reviews of Modern Physics, Vol. 82, Issue 3 https://doi.org/10.1103/RevModPhys.82.2673	journal	September 2010
Electron Transport in Disordered Graphene Nanoribbons Han, Melinda Y.; Brant, Juliana C.; Kim, Philip Physical Review Letters, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevLett.104.056801	journal	February 2010
Melting of graphene: from two to one dimension Zakharchenko, K. V.; Fasolino, Annalisa; Los, J. H. Journal of Physics: Condensed Matter, Vol. 23, Issue 20 https://doi.org/10.1088/0953-8984/23/20/202202	journal	May 2011
Electronic transport in two-dimensional graphene Das Sarma, S.; Adam, Shaffique; Hwang, E. H. Reviews of Modern Physics, Vol. 83, Issue 2, p. 407-470 https://doi.org/10.1103/RevModPhys.83.407	journal	May 2011
Theoretical studies of icosahedral C60 and some related species Stone, A. J.; Wales, D. J. Chemical Physics Letters, Vol. 128, Issue 5-6 https://doi.org/10.1016/0009-2614(86)80661-3	journal	August 1986
Two-dimensional atomic crystals Novoselov, K. S.; Jiang, D.; Schedin, F. Proceedings of the National Academy of Sciences, Vol. 102, Issue 30, p. 10451-10453 https://doi.org/10.1073/pnas.0502848102	journal	July 2005
Evidence for graphene edges beyond zigzag and armchair Koskinen, Pekka; Malola, Sami; Häkkinen, Hannu Physical Review B, Vol. 80, Issue 7 https://doi.org/10.1103/PhysRevB.80.073401	journal	August 2009
Edge state in graphene ribbons: Nanometer size effect and edge shape dependence Nakada, Kyoko; Fujita, Mitsutaka; Dresselhaus, Gene Physical Review B, Vol. 54, Issue 24 https://doi.org/10.1103/PhysRevB.54.17954	journal	December 1996
Detection of individual gas molecules adsorbed on graphene Schedin, F.; Geim, A. K.; Morozov, S. V. Nature Materials, Vol. 6, Issue 9, p. 652-655 https://doi.org/10.1038/nmat1967	journal	July 2007
Self-Passivating Edge Reconstructions of Graphene Koskinen, Pekka; Malola, Sami; Häkkinen, Hannu Physical Review Letters, Vol. 101, Issue 11 https://doi.org/10.1103/PhysRevLett.101.115502	journal	September 2008
Ising Model for the $λ$ Transition and Phase Separation in ${He}^{3}$ - ${He}^{4}$ Mixtures Blume, M.; Emery, V. J.; Griffiths, Robert B. Physical Review A, Vol. 4, Issue 3 https://doi.org/10.1103/PhysRevA.4.1071	journal	September 1971
Numerical studies of conductivity and Fano factor in disordered graphene Lewenkopf, C. H.; Mucciolo, E. R.; Castro Neto, A. H. Physical Review B, Vol. 77, Issue 8 https://doi.org/10.1103/PhysRevB.77.081410	journal	February 2008
Graphene at the Edge: Stability and Dynamics Girit, C. O.; Meyer, J. C.; Erni, R. Science, Vol. 323, Issue 5922 https://doi.org/10.1126/science.1166999	journal	March 2009
Electronic and magnetic properties of nanographite ribbons Wakabayashi, Katsunori; Fujita, Mitsutaka; Ajiki, Hiroshi Physical Review B, Vol. 59, Issue 12 https://doi.org/10.1103/PhysRevB.59.8271	journal	March 1999
Half-metallic graphene nanoribbons Son, Young-Woo; Cohen, Marvin L.; Louie, Steven G. Nature, Vol. 444, Issue 7117 https://doi.org/10.1038/nature05180	journal	November 2006
Dislocation-Driven Deformations in Graphene Warner, J. H.; Margine, E. R.; Mukai, M. Science, Vol. 337, Issue 6091 https://doi.org/10.1126/science.1217529	journal	July 2012
Graphene-Based Liquid Crystal Device Blake, Peter; Brimicombe, Paul D.; Nair, Rahul R. Nano Letters, Vol. 8, Issue 6 https://doi.org/10.1021/nl080649i	journal	June 2008
Electronic properties of graphene nanostructures Molitor, F.; Güttinger, J.; Stampfer, C. Journal of Physics: Condensed Matter, Vol. 23, Issue 24 https://doi.org/10.1088/0953-8984/23/24/243201	journal	May 2011
Chaotic Dirac Billiard in Graphene Quantum Dots Ponomarenko, L. A.; Schedin, F.; Katsnelson, M. I. Science, Vol. 320, Issue 5874, p. 356-358 https://doi.org/10.1126/science.1154663	journal	April 2008
Atom-by-atom spectroscopy at graphene edge Suenaga, Kazu; Koshino, Masanori Nature, Vol. 468, Issue 7327 https://doi.org/10.1038/nature09664	journal	December 2010

Similar Records

Intrinsic spin dependent and ferromagnetic stability on edge saturated zigzag graphene-like carbon-nitride nanoribbons

Journal Article · Mon Apr 28 00:00:00 EDT 2014 · Applied Physics Letters · OSTI ID:1102120

Zhang, Shuai; Li, Chong; Li, S. F.; +3 more

Pure spin current induced by adiabatic quantum pumping in zigzag-edged graphene nanoribbons

Journal Article · Mon May 05 00:00:00 EDT 2014 · Applied Physics Letters · OSTI ID:1102120

Souma, Satofumi; Ogawa, Matsuto

Electron spin magnetism of zigzag graphene nanoribbon edge states

Journal Article · Mon Apr 21 00:00:00 EDT 2014 · Applied Physics Letters · OSTI ID:1102120

Xu, Kun; Ye, Peide D.

Title: Thermodynamics of a Potts-like model for a reconstructed zigzag edge in graphene nanoribbons

Citation Formats

References (44)

Similar Records

Related Subjects