Electron-electron and electron-hole pairing in graphene structures

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 368, Issue 1932, 2010, Pages 5417-5429

  Lozovik, Yu E ^a   Ogarkov, S L ^b   Sokolik, A A ^a  

^a INSTITUTE OF SPECTROSCOPY   (Russian Federation)

^b NATIONAL RESEARCH NUCLEAR UNIVERSITY MEPHI   (Russian Federation)

Author keywords

Graphene; Massless fermions; Pairing; Superfluidity

Indexed keywords

GRAPHENE;

BI-LAYER; ELECTRON HOLE; IN-PLANE; MASSLESS FERMIONS; ORDER PARAMETER; OUT-OF-PLANE; PAIRING; SINGLE PARTICLE EXCITATIONS; STRONG-COUPLING REGIME; SUPERCONDUCTING PAIRING; SUPERFLUIDITY;

ELECTRONS;

EID: 78650130032     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2010.0224     Document Type: Article

References (43)

1. Apenko, S. M., Kirzhnits, D. A. & Lozovik, Yu. E. 1982 On the validity of the 1/N expansion. Phys. Lett. A 92, 107-109. (doi:10.1016/0375- 9601(82)90343-7)
2. Armour, W., Hands, S. & Strouthos, C. 2009 Lattice simulations near the semimetal-insulator phase transition of graphene. (http://arxiv.org/abs/ 0908.0118)
3. Bardeen, J., Cooper, L. N. & Schrieffer, J. R. 1957 Theory of superconductivity. Phys. Rev. 108, 1175-1204. (doi:10.1103/PhysRev.108.1175)
4. Basko, D. M. & Aleiner, I. L. 2008 Interplay of Coulomb and electron-phonon interactions in graphene. Phys. Rev. B 77, 041409(R). (doi:10.1103/PhysRevB.77.041409)
5. Beenakker, C. W. J. 2008 Andreev reflection and Klein tunneling in graphene. Rev. Mod. Phys. 80, 1337-1354. (doi:10.1103/RevModPhys.80.1337)
6. Berman, O. L., Lozovik, Yu. E. & Gumbs, G. 2008a Bose-Einstein condensation and superfluidity of magnetoexcitons in bilayer graphene. Phys. Rev. B 77, 155433. (doi:10.1103/PhysRevB.77.155433)
7. Berman, O. L., Kezerashvili, R. Ya. & Lozovik, Yu. E. 2008b Collective properties of magnetobiexcitons in quantum wells and graphene superlattices. Phys. Rev. B 78, 035135. (doi:10.1103/PhysRevB.78.035135)
8. Black-Schaffer, A. M. & Doniach, S. 2007 Resonating valence bonds and mean-field d-wave superconductivity in graphite. Phys. Rev. B 75, 134512. (doi:10.1103/PhysRevB.75.134512)
9. Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S. & Geim, A. K. 2009 The electronic properties of graphene. Rev. Mod. Phys. 81, 109-162. (doi:10.1103/RevModPhys.81.109)
10. Drut, J. E. & Lähde, J. A. 2008 Is graphene in vacuum an insulator? Phys. Rev. Lett. 102, 026802. (doi:10.1103/PhysRevLett.102.026802)
11. González, J. 2008 Kohn-Luttinger superconductivity in graphene. Phys. Rev. B 78, 205431. (doi:10.1103/PhysRevB.78.205431)
12. Gusynin, V. P., Sharapov, S. G. & Carbotte, J. P. 2007 AC conductivity of graphene: from tightbinding model to 2 + 1-dimensional quantum electrodynamics. Int. J. Mod. Phys. B 21, 4611-4658. (doi:10.1142/ S0217979207038022)
13. Heersche, H. B., Jarillo-Herrero, P., Oostinga, J. O., Vandersypen, L. M. K. & Morpurgo, A. F. 2007 Bipolar supercurrent in graphene. Nature 446, 56-59. (doi:10.1038/nature05555) (Pubitemid 46350681)
14. Honerkamp, C. 2008 Density waves and Cooper pairing on the honeycomb lattice. Phys. Rev. Lett. 100, 164404. (doi:10.1103/PhysRevLett.100.146404) (Pubitemid 351535529)
15. Hwang, E. H. & Das Sarma, S. 2007 Dielectric function, screening, and plasmons in two-dimensional graphene. Phys. Rev. B 75, 205418. (doi:10.1103/PhysRevB.75.205418)
16. Katsnelson, M. I. & Novoselov, K. S. 2007 Graphene: new bridge between condensed matter physics and quantum electrodynamics. Solid State Commun. 143, 3-13. (doi:10.1016/j.ssc.2007.02.043) (Pubitemid 46874504)
17. Katsnelson, M. I., Novoselov, K. S. & Geim, A. K. 2006 Chiral tunnelling and the Klein paradox in graphene. Nat. Phys. 2, 620-625. (doi:10.1038/nphys384) (Pubitemid 44328348)
18. Kharitonov, M. Yu. & Efetov, K. B. 2008a Electron screening and excitonic condensation in doublelayer graphene systems. Phys. Rev. B 78, 241401(R). (doi:10.1103/PhysRevB.78.241401)
19. Kharitonov, M. Yu. & Efetov, K. B. 2008b Excitonic condensation in a double-layer graphene system. Semicond. Sci. Tech. 25, 034004. (doi:10.1088/0268-1242/25/3/034004)
20. Khveshchenko, D. V. 2001 Ghost excitonic insulator transition in layered graphite. Phys. Rev. Lett. 87, 246802. (doi:10.1103/PhysRevLett.87.246802)
21. Khveshchenko, D. V. 2009 Massive Dirac fermions in single-layer graphene. J. Phys., Condens. Matter 21, 075303. (doi:10.1088/0953-8984/21/7/075303)
22. Lozovik, Yu. E. & Berman, O. L. 1997 Phase transitions in a system of spatially separated electrons and holes. J. Exp. Theoret. Phys. 84, 1027-1035. (doi:10.1134/1.558220) (Pubitemid 127090828)
23. Lozovik, Yu. E. & Poushnov, A. V. 1997 Magnetism and Josephson effect in a coupled quantum well electron-hole system. Phys. Lett. A 228, 399-407. (doi:10.1016/S0375-9601(97)00133-3)
24. Lozovik, Yu. E. & Sokolik, A. A. 2008a Electron-hole pair condensation in a graphene bilayer. J. Exp. Theoret. Phys. Lett. 87, 55-59. (doi:10.1134/S002136400801013X)
25. Lozovik, Yu. E. & Sokolik, A. A. 2008b Coherent phases and collective electron phenomena in graphene. J. Phys.: Conf. Ser. 129, 012003. (doi:10.1088/1742-6596/129/1/012003)
26. Lozovik, Yu. E. & Sokolik, A. A. 2009 Multi-band pairing of ultrarelativistic electrons and holes in graphene bilayer. Phys. Lett. A 374, 326-330. (doi:10.1016/j.physleta.2009.10.045)
27. Lozovik, Yu. E. & Sokolik, A. A. 2010a Ultrarelativistic electron-hole pairing in graphene bilayer. Eur. Phys. J. B 73, 195-206. (doi:10.1140/epjb/e2009-00415-9)
28. Lozovik, Yu. E. & Sokolik, A. A. 2010b Phonon-mediated electron pairing in graphene. Phys. Lett. A 374, 2785-2791. (doi:10.1016/j.physleta.2010. 04.070)
29. Lozovik, Yu. E. & Yudson, V. I. 1975 Feasibility of superfluidity of paired spatially separated electrons and holes; a new superconductivity mechanism. J. Exp. Theoret. Phys. Lett. 22, 274-276.
30. Lozovik, Yu. E. & Yudson, V. I. 1976 Superconductivity at dielectric pairing of spatially separated quasiparticles. Sol. State Commun. 19, 391-393. (doi:10.1016/0038-1098(76)91360-0)
31. Lozovik, Yu. E., Merkulova, S. P. & Sokolik, A. A. 2008 Collective electron phenomena in graphene. Phys. Uspekhi 51, 727-744. (doi:10.1070/ PU2008v051n07ABEH006574)
32. Lozovik, Yu. E., Ogarkov, S. L. & Sokolik, A. A. 2010 Theory of superconductivity for Dirac electrons in graphene. J. Exp. Theoret. Phys. 110, 49-57. (doi:10.1134/S1063776110010073)
33. Mariani, E. & von Oppen, F. 2008 Flexural phonons in free-standing graphene. Phys. Rev. Lett. 100, 076801. (doi:10.1103/PhysRevLett.100.076801) (Pubitemid 351393575)
34. Min, H., Bistritzer, R., Su, J.-J. & MacDonald, A. H. 2008 Room-temperature superfluidity in graphene bilayers. Phys. Rev. B 78, 121401(R). (doi:10.1103/PhysRevB.78.121401)
35. Nozières, P. & Schmitt-Rink, S. 1985 Bose condensation in an attractive fermion gas: from weak to strong coupling superconductivity. J. Low Temp. Phys. 59, 195-211. (doi:10.1007/BF00683774)
36. Pisarski, R. D. & Rischke, D. H. 1999 Superfluidity in a model of massless fermions coupled to scalar bosons. Phys. Rev. D 60, 094013. (doi:10.1103/PhysRevD.60.094013)
37. Piscanec, S., Lazzeri, M., Mauri, F., Ferrari, A. C. & Robertson, J. 2004 Kohn anomalies and electron-phonon interactions in graphite. Phys. Rev. Lett. 93, 185503. (doi:10.1103/PhysRevLett.93.185503)
38. Sabio, J., Sols, F. & Guinea, F. 2009 Two-body problem in graphene. Phys. Rev. B 81, 045428. (doi:10.1103/PhysRevB.81.045428)
39. Shevchenko, S. I. 1994 Phase diagram of systems with pairing of spatially separated electrons and holes. Phys. Rev. Lett. 72, 3242-3245. (doi:10.1103/PhysRevLett.72.3242)
40. Suzuura, H. & Ando, T. 2002 Phonons and electron-phonon scattering in carbon nanotubes. Phys. Rev. B 65, 235412. (doi:10.1103/PhysRevB.65.235412)
41. Uchoa, B. & Castro Neto, A. H. 2007 Superconducting states of pure and doped graphene. Phys. Rev. Lett. 98, 146801. (doi:10.1103/PhysRevLett.98. 146801) (Pubitemid 46549104)
42. Wunsch, B., Stauber, T., Sols, F. & Guinea, F. 2006 Dynamical polarization of graphene at finite doping. New J. Phys. 8, 318. (doi:10.1088/1367-2630/8/12/318) (Pubitemid 44927392)
43. Zhang, C.-H. & Joglekar, Y. N. 2008 Excitonic condensation of massless fermions in graphene bilayers. Phys. Rev. B 77, 233405. (doi:10.1103/PhysRevB.77.233405)