2010

Gauge fields in graphene

Vozmediano, M. A. H., Katsnelson, M. I., Guinea, F.

Understand

The physics of graphene is acting as a bridge between quantum field theory and condensed matter physics due to the special quality of the graphene quasiparticles behaving as massless two dimensional Dirac fermions.

Moreover, the particular structure of the 2D crystal lattice sets the arena to study and unify concepts from elasticity, topology and cosmology.
In this paper we analyze these connections combining a pedagogical, intuitive approach with a more rigorous formalism when required.

Built on

O. Klein, Z. Phys. 53
1929
Earlier work this paper cites.
R. E. Peierls, Helv. Phys. Acta 7
1934
Earlier work this paper cites.
R. E. Peierls, Ann. Inst. H. Poincare 5
1935
Earlier work this paper cites.
L. D. Landau, Phys. Z. Sowjet Union 11
1937
Earlier work this paper cites.
P. R. Wallace, Phys. Rev. 71
1947
Earlier work this paper cites.
K. Kondo, Proceedings of the 2nd Japan national congress for applied mechanics p. 41 (1952)
1952
Earlier work this paper cites.
R. Kubo, J. Phys. Soc. Japan 12
1957
Earlier work this paper cites.
H. Nakano, Prog. Theor. Phys. 17
1957
Earlier work this paper cites.
J. C. Slonczewski and P. R. Weiss, Phys. Rev. 109
1958
Earlier work this paper cites.
P. W. Anderson, Phys. Rev. 109
1958
Earlier work this paper cites.
S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells (1959)
1959
Earlier work this paper cites.
R. V. Pound and G. A. Rebka, Phys. Rev. Lett. 4
1960
Earlier work this paper cites.
H. Mori, Prog. Theor. Phys. 34
1965
Earlier work this paper cites.
S. Ono and K. Sugihara, J. Phys. Soc. Jap. 21
1966
Earlier work this paper cites.
N. D. Mermin, Phys. Rev. 176
1968
Earlier work this paper cites.
M. F. Atiyah and I. M. Singer, Ann. Math. 87
1968
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, Theory of Elasticity (1970)
1970
Earlier work this paper cites.
S. Weinberg, Gravitation and cosmology: principles and applications to the general theory of relativity (Wiley and Sons, 1972)
1972
Earlier work this paper cites.
W. Helfrich, Z. Naturforsch. 28
1973
Earlier work this paper cites.
K. G. Wilson and J. Kogut, Phys. Rep. 12
1974
Earlier work this paper cites.
K. G. Wilson, Rev. Mod. Phys. 47
1975
Earlier work this paper cites.
S. K. Ma, Modern Theory of Critical Phenomena (1976)
1976
Earlier work this paper cites.
G. Toulouse, Commun. Phys. 2
1977
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz, Quantum Mechanics (1977)
1977
Earlier work this paper cites.
I. Dzyaloshinskii and G. E. Volovik, J. de Physique 39
1978
Earlier work this paper cites.
Y. Aharonov and A. Casher, Phys. Rev. A 19
1979
Earlier work this paper cites.
E. Abrahams, P. W. Anderson, D. C. Licciardello, and T. V. Ramakrishnan, Phys. Rev. Lett. 42
1979
Earlier work this paper cites.
I. Dzyaloshinskii and G. E. Volovik, Ann. Phys. 125
1980
Earlier work this paper cites.
L. Pietronero, S. Strässler, and H. R. Zeller, Phys. Rev. B 22
1980
Earlier work this paper cites.
L. D. Landau and E. M. Lifshitz (1980)
1980
Earlier work this paper cites.
M. Born and E. Wolf, Principles of Optics (1980)
1980
Earlier work this paper cites.
B. T. Kelly, Physics of Graphite (Applied Science, London; Englewood, NJ, 1981)
1981
Earlier work this paper cites.
F. Guinea, J. Phys. C-Sol. St. Phys. 14
1981
Earlier work this paper cites.
N. D. Birrell and P. C. W. Davis, Quantum Fields in Curved Space (Cambridge University Press, 1982)
1982
Earlier work this paper cites.
K. Sugihara, Phys. Rev. B 28
1983
Earlier work this paper cites.
J. C. Collins, Renormalization (Cambridge Univ. Press, Cambridge, 1984)
1984
Earlier work this paper cites.
G. V. Semenoff, Phys. Rev. Lett. 53
1984
Earlier work this paper cites.
M. F. Atiyah and I. M. Singer, Proc. Natl. Acad, Sci. USA 81
1984
Earlier work this paper cites.
G. Bergman, Physics Reports 107
1984
Earlier work this paper cites.
L. Peliti and S. Leibler, Phys. Rev. Lett. 54
1985
Earlier work this paper cites.
P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57
1985
Earlier work this paper cites.
A. J. Stone and D. J. Wales, Chem. Phys. Lett. 128
1986
Earlier work this paper cites.
D. R. Nelson and L. Peliti, J. Physique 48
1987
Earlier work this paper cites.
F. D. M. Haldane, Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
H. S. Seung and D. R. Nelson, Phys. Rev. A 38
1988
Earlier work this paper cites.
M. Kaku, Introduction to Superstrings (Springer, New York, 1988)
1988
Earlier work this paper cites.
H. Kleinert, Gauge fields in condensed matter, vols. 1 and 2 (World Scientific, Singapore, 1989)
1989
Earlier work this paper cites.
D. Nelson, in Statistical Mechanics of Membranes and Surfaces , edited by D. Nelson, T. Piran, and S. Weinberg (World Scientific, Singapore, 1989)
1989
Earlier work this paper cites.
A. Linde, Particle Physics and Inflationary Cosmology (Harwood Acad., Chur, Switzerland, 1990)
1990
Earlier work this paper cites.
J. F. Sadoc (Editor), Geometry in Condensed Matter Physics (World Scientific, Singapore, 1990)
1990
Earlier work this paper cites.
M. Nakahara, Geometry, Topology and Physics (IOP, Bristol, 1990)
1990
Earlier work this paper cites.
M. O. Katanaev and I. V. Volovich, Annals of Physics 216
1992
Earlier work this paper cites.
J. González, F. Guinea, and M. A. H. Vozmediano, Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
P. L. Doussal and L. Radzihovsky, Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
J. J. Binney, N. J. Dowrick, A. J. Fisher, , and M. E. J. Newman, The Theory of Critical Phenomena (1992)
1992
Earlier work this paper cites.
A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993)
1993
Earlier work this paper cites.
J. González, F. Guinea, and M. A. H. Vozmediano, Nucl. Phys. B 424 [FS]
1994
Earlier work this paper cites.
R. Tamura and M. Tsukada, Phys. Rev. B. 49
1994
Earlier work this paper cites.
C. Furtado and F. Moraes, Phys. Lett. A 188
1994
Earlier work this paper cites.
S. A. Safran, Statistical Thermodynamics of Surfaces, Interfaces, and Membranes (1994)
1994
Earlier work this paper cites.
A. W. W. Ludwig, M. P. A. Fisher, R. Shankar, and G. Grinstein, Phys. Rev. B 50
1994
Earlier work this paper cites.
F. Moraes, Physics Letters A 214
1996
Earlier work this paper cites.
C. de C. Chamon, C. Mudry, and X.-G. Wen, Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
S. Weinberg, The quantum theory of fields (Cambridge University Press, 1996)
1996
Earlier work this paper cites.
P. W. Anderson, Basic Notions of Condensed Matter Physics (Addison-Wesley, Reading, MA, 1997)
1997
Earlier work this paper cites.
C. L. Kane and E. J. Mele, Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
R. Saito, G. Dresselhaus, and M. S. Dresselhaus, Physical Properties of Carbon Nanotubes (World Scientific, 1998)
1998
Earlier work this paper cites.
P. M. Ajayan, V. Ravikumar, and J. C. Charlier, Phys. Rev. Lett. 81
1998
Earlier work this paper cites.
M. B. Nardelli, B. I. Yakaobson, and J. Bernholc, Phys. Rev. B 57
1998
Earlier work this paper cites.
H. Matsumura and T. Ando, J. Phys. Soc. of Japan 67
1998
Earlier work this paper cites.

Similar

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1998
Cited alongside, same era.
J. Ye and S. Sachdev, Phys. Rev.Lett. 80
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N. H. Schon and T. Ando, J. Phys. Soc. Japan 67
1998
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N. Dombey and A. Calogeracos, Phys. Rep. 315
1999
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C. Furtado and F. Moraes, Europhys. Lett. 45
1999
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L. Yang, M. P. Anantram, J. Han, and J. Lu, Phys. Rev. B 60
1999
Cited alongside, same era.
J. Ye, Phys. Rev. B. 60
1999
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1999
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2000
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2000
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P. E. Lammert and V. H. Crespi, Phys. Rev. Lett. 85
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2000
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Then

D. V. Khveshchenko, Phys Rev B 75
2007
Later among the works it cites.
M. Auslender and M. I. Katsnelson, Phys. Rev. B 76
2007
Later among the works it cites.
M. Hentschel and F. Guinea, Phys. Rev. B 76
2007
Later among the works it cites.
D. S. Novikov, Phys. Rev. B 76
2007
Later among the works it cites.
J. Cserti, A. Palyi, and C. Peterfalvi, Phys. Rev. Lett. 99
2007
Later among the works it cites.
T. Stauber, N. M. R. Peres, and F. Guinea, Phys. Rev. B. 76
2007
Later among the works it cites.
V. M. Pereira, J. Nilsson, and A. H. Castro Neto, Phys. Rev. Lett. 99
2007
Later among the works it cites.
S. Adam, E. H. Hwang, V. M. Galitski, and S. D. Sarma, Proc. Natl. Acad. Sci. USA 104
2007
Later among the works it cites.
F. Schedin, A. Geim, S. Morozov, E. Hill1, P. Blake, M. Katsnelson, and K. Novoselov, Nature Materials 6
2007
Later among the works it cites.
A. H. Castro Neto, F. Guinea, N. M. R. Peres, K. S. Novoselov, and A. K. Geim, Rev. Mod. Phys. 80
2008
Later among the works it cites.
C. W. J. Beenakker, Rev. Mod. Phys. 80
2008
Later among the works it cites.
W. Greiner and S. Schramm, Am. J. Phys. Phys. 76
2008
Later among the works it cites.
R. V. Gorbachev, A. S. Mayorov, A. K. Savchenko, D. W. Horsell, and F. Guinea, Nano Lett. 8
2008
Later among the works it cites.
E.-A. Kim and A. H. Castro Neto, Eur. Phys. Lett. 84
2008
Later among the works it cites.
J. K. Pachos, M. Stone, and K. Temme, Phys. Rev. Lett. 100
2008
Later among the works it cites.
C. Furtado, F. Moraes, and A. M. de M. Carvalho, Physics Letters A 372
2008
Later among the works it cites.
A. Carpio, L. L. Bonilla, F. de Juan, and M. A. H. Vozmediano, New J. Phys. 10
2008
Later among the works it cites.
M. M. Fogler, F. Guinea, and M. I. Katsnelson, Phys. Rev. Lett. 101
2008
Later among the works it cites.
M. I. Katsnelson and M. F. Prokhorova, Phys. Rev. B 77
2008
Later among the works it cites.
T. O. Wehling, A. V. Balatsky, A. M. Tsvelik, M. I. Katsnelson, and A. I. Lichtenstein, Europhys. Lett. 84
2008
Later among the works it cites.
F. V. Tikhonenko, D. W. Horsell, R. V. Gorbachev, and A. K. Savchenko, Phys. Rev. Lett. 100
2008
Later among the works it cites.
O. Vafek and M. J. Case, Phys. Rev. B 77
2008
Later among the works it cites.
M. S. Foster and I. L. Aleiner, Phys. Rev. B 77
2008
Later among the works it cites.
X. Du, I. Skachko, A. Barker, and E. Y. Andrei, Nature Nanotechnology 3
2008
Later among the works it cites.
F. Guinea, Journ. Low Temp. Phys. 153
2008
Later among the works it cites.
M. I. Katsnelson and A. K. Geim, Philos. Trans. R. Soc. (London) Ser. A 366
2008
Later among the works it cites.
C. Jang, S. Adam, J.-H. Chen, E. D. Williams, S. D. Sarma, , and M. S. Fuhrer, Phys. Rev. Lett. 101
2008
Later among the works it cites.
S. V. Morozov, K. S. Novoselov, M. I. Katsnelson, F. Schedin, D. C. Elias, J. A. Jaszczak, and A. K. Geim, Phys. Rev. Lett. 100
2008
Later among the works it cites.
E. Mariani and F. von Oppen, Phys. Rev. Lett. 100
2008
Later among the works it cites.
J. S. Bunch, S. S. Verbridge, J. S. Alden, A. M. van der Zande, J. M. Parpia, H. G. Craighead, and P. L. McEuen, Nano Lett. 8
2008
Later among the works it cites.
A. Kormányos, P. Rakyta, L. Oroszlány, and J. Cserti, Phys. Rev. B 78
2008
Later among the works it cites.
M. R. Masir, P. Vasilopoulos, A. Matulis, and F. Peeters, Phys. Rev. Lett. 77
2008
Later among the works it cites.
P. L. de Andrés and J. A. Vergés, Appl. Phys. Lett. 93
2008
Later among the works it cites.
D. Garcia-Sanchez, A. M. van der Zande, A. S. Paulo, B. Lassagne, P. L. McEuen, and A. Bachtold, Nano Lett. 8
2008
Later among the works it cites.
K. Sasaki, R. Saito, G. Dresselhaus, M. S. Dresselhaus, H. Farhat, and J. Kong, Phys. Rev. B 78
2008
Later among the works it cites.
A. K. Hüttel, M. Poot, B. Witkamp, and H. S. J. van der Zant, New Journ. Phys. 10
2008
Later among the works it cites.
A. K. Geim, Science 324
2009
Later among the works it cites.
N. Stander, B. Huard, and D. Goldhaber-Gordon, Phys. Rev. Lett. 102
2009
Later among the works it cites.
A. F. Young and P. Kim, Nature Physics 5
2009
Later among the works it cites.
J. Moore, Nature Physics 5
2009
Later among the works it cites.
Y. Xia, D. Qian, D. Hsieh, L. Wray, A. Pal, H. Lin, A. Bansil, D. Grauer, Y. S. Hor, R. J. Cava, et al., Nature Physics 5
2009
Later among the works it cites.
C. Lee, X. Wei, J. W. Kysar, and J. Hone, Science 321
2009
Later among the works it cites.
K. V. Zakharchenko, M. I. Katsnelson, and A. Fasolino, Phys. Rev. Lett. 102
2009
Later among the works it cites.
S. Ryu, C. Mudry, C. Hou, and C. Chamon, Phys. Rev. B 80
2009
Later among the works it cites.
A. Cortijo and M. A. H. Vozmediano, Phys. Rev. B 79
2009
Later among the works it cites.
M. P. López–Sancho, F. de Juan, and M. A. H. Vozmediano, Phys. Rev. B 79
2009
Later among the works it cites.
J. H. Los, M. I. Katsnelson, O. V. Yazyev, K. V. Zakharchenko, and A. Fasolino (2009), eprint arXiv:0903.3847
Original
2009
Later among the works it cites.
J.-P. Kownacki and D. Mouhanna, Phys. Rev. E 79
2009
Later among the works it cites.
J. Kailasvuori, Europhys. Lett. 87
2009
Later among the works it cites.
I. Snyman, Phys. Rev. B 80
2009
Later among the works it cites.
D. W. Boukhvalov and M. I. Katsnelson, J. Phys. Chem. C 113
2009
Later among the works it cites.
L. A. Ponomarenko, R. Yang, T. M. Mohiuddin, M. I. Katsnelson, K. S. Novoselov, S. V. Morozov, A. A. Zhukov, F. Schedin, E. W. Hill, and A. K. Geim, Phys. Rev. Lett. 102
2009
Later among the works it cites.
M. I. Katsnelson, F. Guinea, and A. K. Geim, Phys. Rev. B 79
2009
Later among the works it cites.
S. Berciaud, S. Ryu, L. E. Brus, and T. F. Heinz, Nano Lett. 9
2009
Later among the works it cites.
W. Bao, F. Miao, Z. Chen, H. Zhang, W. Jang, C. Dames, and C. N. Lau, Nature Nanotechnology 4
2009
Later among the works it cites.
J. Velasco Jr., G. Liu, W. Bao, and C. N. Lau, New J. Phys. 11
2009
Later among the works it cites.
M. R. Masir, P. Vasilopoulos, and F. Peeters, New J. Phys. 11
2009
Later among the works it cites.
G. León, E. Prada, P. San-José, M. M. Fogler, and F. Guinea (2009), eprint arXiv:0906.5267
Original
2009
Later among the works it cites.
V. M. Pereira and A. H. Castro Neto, Phys. Rev. Lett. 103
2009
Later among the works it cites.
V. M. Pereira, A. H. C. Neto, and N. M. Peres, Phys. Rev. B 80
2009
Later among the works it cites.
M. Farjam and H. Rafii-Tabar (2009), eprint arXiv:0909.5052
Original
2009
Later among the works it cites.
J. Viana-Gomes, V. M. Pereira, and N. M. Peres (2009), eprint arXiv:0909.5052
Original
2009
Later among the works it cites.
M. Mohr, K. Papagelis, J. Maultzsch, and C. Thomsen (2009), eprint arXiv:0908.0895
Original
2009
Later among the works it cites.
T. G. Rappoport, B. Uchoa, and A. H. �Castro Neto (2009), eprint arXiv:0906.2194
Original
2009
Later among the works it cites.
T. M. Mohiuddin, A. Lombardo, R. R. Nair, A. Bonetti, G. Savini, R. Jalil, N. Bonini, D. M. Basko, C. Galiotis, N. Marzari, K. S. Novoselov, A. K. Geim, and A. C. Ferrari, Phys. Rev. B 79
2009
Later among the works it cites.
M. Huang, H. Yan, C. Chen, D. Song, T. F. Heinz, and J. Hone, Proc. Nat. Ac. Sci. (USA) 106
2009
Later among the works it cites.
G. Tsoukleri, J. Parthenios, K. Papagelis, R. Jalil, A. C. Ferrari, A. K. Geim, K. S. Novoselov, and C. Galiotis, Small (2009), DOI: 10.1002/smll.200900802
2009
Later among the works it cites.
M. L. Teague, A. P. Lai, J. Velasco, C. R. Hughes, A. D. Beyer, M. W. Bockrath, C. N. Lau, and N.-C. Yeh, Nano Lett. 9
2009
Later among the works it cites.
F. von Oppen, F. Guinea, and E. Mariani, Phys. Rev. B 80
2009
Later among the works it cites.
F. de Juan, A. Cortijo, and M. A. H. Vozmediano, Nucl. Phys. B 828
2010
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