How many-body effects modify the van der waals interaction between graphene sheets

Physical Review X

Volumn 4, Issue 2, 2014, Pages

  Dobson, John F ^a,b,c   Gould, Tim ^a   Vignale, Giovanni ^c  

^a GRIFFITH UNIVERSITY   (Australia)

^b UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

^c UNIVERSITY OF MISSOURI   (United States)

Author keywords

Computational physics; Condensed matter physics; Graphene; Quantum physics

Indexed keywords

CONDENSED MATTER PHYSICS; FORCE MEASUREMENT; GRAPHENE;

COMPUTATIONAL PHYSICS; DIRECT FORCE MEASUREMENTS; MASSLESS DIRAC FERMIONS; QUALITATIVE CHANGES; QUANTUM PHYSICS; RANDOM PHASE APPROXIMATIONS; SIMPLE CONNECTIONS; VAN DER WAALS INTERACTIONS;

VAN DER WAALS FORCES;

EID: 84903702133     PISSN: None     EISSN: 21603308     Source Type: Journal    
DOI: 10.1103/PhysRevX.4.021040     Document Type: Article

References (59)

1. A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, The Electronic Properties of Graphene, Rev. Mod. Phys. 81, 109 (2009).
2. S. Grimme, Semiempirical GGA-Type Density Functional Constructed with a Long-Range Dispersion Correction, J. Comput. Chem. 27, 1787 (2006).
3. M. Dion, H. Rydberg, E. Schröder, D. C. Langreth, and B. I. Lundqvist, van der Waals Density Functional for General Geometries, Phys. Rev. Lett. 92, 246401 (2004).
4. D. C. Langreth, M. Dion, H. Rydberg, E. Schröder, P. Hyldgaard, and B. I. Lundqvist, van der Waals Density Functional Theory with Applications, Int. J. Quantum Chem. 101, 599 (2005).
5. A. Tkatchenko and M. Scheffler, Accurate Molecular van der Waals Interactions from Ground-State Electron Density and Free-Atom Reference Data, Phys. Rev. Lett. 102, 073005 (2009).
6. O. A. Vydrov and T. Van Voorhis, Dispersion Interactions from a Local Polarizability Model, Phys. Rev. A 81, 062708 (2010).
7. J. F. Dobson and T. Gould, Calculation of Dispersion Energies, J. Phys. Condens. Matter 24, 073201 (2012).
8. 0 in this work was too large by a factor of 2.
9. T. Gould, K. Simpkins, and J. F. Dobson, Theoretical and Semiempirical Correction to the Long-Range Dispersion Power Law of Stretched Graphite, Phys. Rev. B 77, 165134 (2008).
10. Bo E. Sernelius, Graphene as a Strictly 2D Sheet or as a Film of Small but Finite Thickness, Graphene 01, 21 (2012).
11. T. Gould, J. F. Dobson, and S. Lebègue, Effects of a Finite Dirac Cone on the Dispersion Properties of Graphite, Phys. Rev. B 87, 165422 (2013).
12. A. Sharma, P. Harnish, A. Sylvester, V. N. Kotov, and A. H. Castro Neto, van der Waals Forces and Electron-Electron Interactions in Two Strained Graphene Layers, arXiv:1402.3369.
13. V. V. Gobre and A. Tkatchenko, Scaling Laws for van der Waals Interactions in Nanostructured Materials, Nat. Commun. 4, 2341 (2013).
14. D. Drosdoff and L. M. Woods, Casimir Forces and Graphene Sheets, Phys. Rev. B 82, 155459 (2010).
15. D. Drosdoff, A. D. Phan, L. M.Woods, I. V. Bondarev, and J. F. Dobson, Effects of Spatial Dispersion on the Casimir Force between Graphene Sheets, Eur. Phys. J.B85, 1 (2012).
16. S. Lebègue, J. Harl, T. Gould, J. G. Ángyán, G. Kresse, and J. F. Dobson, Cohesive Properties and Asymptotics of the Dispersion Interaction in Graphite by the Random Phase Approximation, Phys. Rev. Lett. 105, 196401 (2010).
17. J. González, F. Guinea, and M. A. H. Vozmediano, Non-Fermi Liquid Behavior of Electrons in the Half-Filled Honeycomb Lattice (A Renormalization Group Approach), Nucl. Phys. B424, 595 (1994).
18. J. González, F. Guinea, and M. A. H. Vozmediano, Marginal-Fermi-Liquid Behavior from Two-Dimensional Coulomb Interaction, Phys. Rev. B 59, R2474 (1999).
19. Z. Q. Li, E. A. Henriksen, Z. Jiang, Z. Hao, M. C. Martin, P. Kim, H. L. Stormer, and D. N. Basov, Dirac Charge Dynamics in Graphene by Infrared Spectroscopy, Nat. Phys. 4, 532 (2008).
20. D. C. Elias, R. V. Gorbachev, A. S. Mayorov, S. V. Morozov, A. A. Zhukov, P. Blake, L. A. Ponomarenko, I. V. Grigorieva, K. S. Novoselov, F. Guinea, and A. K. Geim, Dirac Cones Reshaped by Interaction Effects in SuspendedGraphene, Nat. Phys. 7, 701 (2011).
21. D. A. Siegel, C.-H. Park, C. Hwang, J. Deslippe, A. V. Fedorov, S. G. Louie, and A. Lanzara, Many-Body Interactions in Quasi-freestanding Graphene, Proc. Natl. Acad. Sci. U.S.A. 108, 11 365 (2011).
22. I. F. Herbut, Interactions, and Phase Transitions on Graphene's Honeycomb Lattice, Phys. Rev. Lett. 97, 146401 (2006).
23. E. G. Mishchenko, Dynamic Conductivity in Graphene beyond Linear Response, Phys. Rev. Lett. 103, 246802 (2009).
24. V. N. Kotov, B. Uchoa, V. M. Pereira, F. Guinea, and A. H. Castro Neto, Electron-Electron Interactions in Graphene: Current Status and Perspectives, Rev. Mod. Phys. 84, 1067 (2012).
25. T. Olsen and K. S. Thygesen, Extending the Random-Phase Approximation for Electronic Correlation Energies: The Renormalized Adiabatic Local Density Approximation, Phys. Rev. B 86, 081103 (2012).
26. T. Olsen and K. S. Thygesen, Beyond the Random Phase Approximation: Improved Description of Short Range Correlation by a Renormalized Adiabatic Local Density Approximation, arXiv:1306.2732.
27. M. Polini, R. Asgari, Y. Barlas, T. Pereg-Barnea, and A. H. MacDonald, Graphene: A Pseudochiral Fermi Liquid, Solid State Commun. 143, 58 (2007).
28. S. Das Sarma, E. H. Hwang, and Wang-Kong Tse, Many-Body Interaction Effects in Doped and Undoped Graphene: Fermi Liquid versus Non-Fermi Liquid, Phys. Rev. B 75, 121406 (2007).
29. D. T. Son, Quantum Critical Point in Graphene Approached in the Limit of Infinitely Strong Coulomb Interaction, Phys. Rev. B 75, 235423 (2007).
30. M. S. Foster and I. L. Aleiner, Graphene via Large n: A Renormalization Group Study, Phys. Rev. B 77, 195413 (2008).
31. V. N. Kotov, B. Uchoa, and A. H. Castro Neto, 1=n Expansion in Correlated Graphene, Phys. Rev. B 80, 165424 (2009).
32. J. P. Reed, B. Uchoa, Y. Il Joe, Y. Gan, D. Casa, E. Fradkin, and P. Abbamonte, The Effective Fine-Structure Constant of Freestanding Graphene Measured in Graphite, Science 330, 805 (2010).
33. S. H. Abedinpour, G. Vignale, A. Principi, M. Polini, W.-K. Tse, and A. H. MacDonald, Drude Weight, Plasmon Dispersion, and ac Conductivity in Doped Graphene Sheets, Phys. Rev. B 84, 045429 (2011).
34. L. S. Levitov, A. V. Shtyk, and M. V. Feigelman, Electron-Electron Interactions and Plasmon Dispersion in Graphene, Phys. Rev. B 88, 235403 (2013).
35. I. Sodemann and M. M. Fogler, Interaction Corrections to the Polarization Function of Graphene, Phys. Rev. B 86, 115408 (2012).
36. G. F. Giuliani and G. Vignale, Quantum Theory of the Electron Liquid (Cambridge University Press, Cambridge, England, 2005).
37. B. Wunsch, T. Stauber, F. Sols, and F. Guinea, Dynamical Polarization of Graphene at Finite Doping, New J. Phys. 8, 318 (2006).
38. q]) to avoid unphysical results.
39. T. Gould, E. Gray, and J. F. Dobson, van der Waals Dispersion Power Laws for Cleavage, Exfoliation, and Stretching in Multiscale, Layered Systems, Phys. Rev. B 79, 113402 (2009).
40. L. A. Girifalco and R. A. Lad, Energy of Cohesion, Compressibility, and the Potential Energy Functions of the Graphite System, J. Chem. Phys. 25, 693 (1956).
41. L. X. Benedict, N. G. Chopra, M. L. Cohen, A. Zettl, S. G. Louie, and V. H. Crespi, Microscopic Determination of the Interlayer Binding Energy in Graphite, Chem. Phys. Lett. 286, 490 (1998).
42. R. Zacharia, H. Ulbricht, and T. Hertel, Interlayer Cohesive Energy of Graphite from Thermal Desorption of Polyaromatic Hydrocarbons, Phys. Rev. B 69, 155406 (2004).
43. Z. Liu, J. Z. Liu, Y. Cheng, Z. Li, L. Wang, and Q. Zheng, Interlayer Binding Energy of Graphite: A Mesoscopic Determination from Deformation, Phys. Rev. B 85, 205418 (2012).
44. T. Gould, Z. Liu, J. Z. Liu, J. F. Dobson, Q. Zheng, and S. Lebègue, Binding and Interlayer Force in the Near-Contact Region of Two Graphite Slabs: Experiment and Theory, J. Chem. Phys. 139, 224704 (2013).
45. M. Hasegawa and K. Nishidate, Semiempirical Approach to the Energetics of Interlayer Binding in Graphite, Phys. Rev. B 70, 205431 (2004).
46. S. D. Chakarova-Käck, E. Schröder, B. I. Lundqvist, and D. C. Langreth, Application of van der Waals Density Functional to an Extended System: Adsorption of Benzene and Naphthalene on Graphite, Phys. Rev. Lett. 96, 146107 (2006).
47. E. Ziambaras, J. Kleis, E. Schröder, and P. Hyldgaard, Potassium Intercalation in Graphite: A van der Waals Density-Functional Study, Phys. Rev. B 76, 155425 (2007).
48. M. Hasegawa, K. Nishidate, and H. Iyetomi, Energetics of Interlayer Binding in Graphite: The Semiempirical Approach Revisited, Phys. Rev. B 76, 115424 (2007).
49. L. Spanu, S. Sorella, and G. Galli, Nature and Strength of Interlayer Binding in Graphite, Phys. Rev. Lett. 103, 196401 (2009).
50. J. D. Thrower, E. E. Friis, A. L. Skov, L. Nilsson, M. Andersen, L. Ferrighi, B. Jørgensen, S. Baouche, R. Balog, B. Hammer, and L. Hornekær, Interaction between Coronene and Graphite from Temperature-Programmed Desorption and DFT-vdW Calculations: Importance of Entropic Effects and Insights into Graphite Interlayer Binding, J. Phys. Chem. C 117, 13520 (2013).
51. T. Bučko, S. Lebègue, J. Hafner, and J. G. Ángyán, Tkatchenko-Scheffler van der Waals Correction Method with and without Self-Consistent Screening Applied to Solids, Phys. Rev. B 87, 064110 (2013).
52. K. R. Knox, A. Locatelli, M. B. Yilmaz, D. Cvetko, T. O. Menteş, M. Á. Niño, P. Kim, A. Morgante, and R. M. Osgood, Making Angle-Resolved Photoemission Measurements on Corrugated Monolayer Crystals: Suspended Exfoliated Single-Crystal Graphene, Phys. Rev. B 84, 115401 (2011).
53. A. A. Banishev, H. Wen, J. Xu, R. K. Kawakami, G. L. Klimchitskaya, V. M. Mostepanenko, and U. Mohideen, Measuring the Casimir Force Gradient from Graphene on a SiO2 Substrate, Phys. Rev. B 87, 205433 (2013).
54. F. Intravaia, S. Koev, I.W. Jung, A. A. Talin, P. S. Davids, R. S. Decca, V. A. Aksyuk, D. A. R. Dalvit, and D. López, Strong Casimir Force Reduction through Metallic Surface Nanostructuring, Nat. Commun. 4, 2515 (2013).
55. S.-g. Cheng, H. Zhang, and Q.-f. Sun, Effect of Electron-Hole Inhomogeneity on Specular Andreev Reflection and Andreev Retroreflection in a Graphene-Superconductor Hybrid System, Phys. Rev. B 83, 235403 (2011).
56. X. Chen, J. F. Dobson, and C. L. Raston, Vortex Fluidic Exfoliation of Graphite and Boron Nitride, Chem. Commun. (Cambridge) 48, 3703 (2012).
57. S. Tautz, Non-additivity of Molecule-Surface van der Waals Potentials from Force Measurements, Bull. Am. Phys. Soc. 59, G31.0001 (2014).
58. J. J. Lee, F. T. Schmitt, R. G. Moore, I. M. Vishik, Y. Ma, and Z. X. Shen, Intrinsic Ultrathin Topological Insulators Grown via Molecular Beam Epitaxy Characterized by In-Situ Angle Resolved Photoemission Spectroscopy, Appl. Phys. Lett. 101, 013118 (2012).
59. J. F. Dobson, Validity Comparison between Asymptotic Dispersion Energy Formalisms for Nanomaterials, J. Comput. Theor. Nanosci. 6, 960 (2009).