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Lattice of the C60 molecule<\/p><\/div>\r\n
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- \u00abContinuum approximation to fullerene molecules\u00bb, J. Gonzalez, F. Guinea and A.H.\u00a0Vozmediano,<\/strong> Phys. Rev. Lett. 69 (1992<\/strong>) 172. In this work, as early as 1992, we introduced the notion that curvature of the lattice would affect the electronic structure of a Dirac material coupling as a gauge field. The electronic structure of the C60 molecule was reproduced by solving the Dirac equation on the surface of a sphere with a magnetic monopole at its centre. This work has inspired all the later literature on strain and gauge fields. A summary of it up to 2010 can be seen in the review article \u00abGauge fields in graphene\u00bb\u00a0arXiv:1003.5179<\/a><\/li>\r\n<\/ul>\r\n
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One loop Feynman graphs in QED<\/p><\/div>\r\n
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- \u00a0 \u00a0\u00abNon-Fermi liquid behavior of electrons in the half-lled honeycomb lattice. A Renormalization\u00a0Group Approach\u00bb, J. Gonzalez, F. Guinea y A.H. Vozmediano,<\/strong> Nucl.Phys. B424 (1994<\/strong>) 593. \u00a0 arXiv:hep-th\/9311105<\/a>.\u00a0<\/span>\u00a0In this work, still published in a \u00abParticles and fields\u00bb journal, we applied Renormalization Group techniques to analyze the Coulomb interactions in graphene (called sigle sheet of graphite in these times). We found the running upwards of the Fermi velocity as the energy is decreased, and the existence of a Lorentz invariant fixed point where the Fermi velocity equals the speed of light c. The prediction of the growth of the Fermi velocity was confirmed experimentally in 2011 (see the publication here:\u00a0http:\/\/www.condmat.physics.manchester.ac.uk\/pdf\/mesoscopic\/publications\/graphene\/SLGNatPhys2011.pdf). This work had a natural extension to Weyl semimetals recently worked out in\u00a010.1103\/PhysRevB.98.115122<\/i><\/a>.<\/li>\r\n<\/ul>\r\n
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Correction to the local density of states in a wide region around two pairs of heptagon\u2013pentagon defects located out of the region for increasing values of the energy.<\/p><\/div>\r\n
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- 1. Effects of topological defects and local curvature on the electronic properties of planar graphene,<\/strong> Alberto Cortijo, Mar\u00eda A.H. Vozmediano,<\/strong> \u00a0Nuclear Physics B 763<\/strong> [FS] (2007<\/strong>) 293\u2013308.\u00a0\u00a0 arXiv:cond-mat\/0612374<\/a>\u00a0In this work we used a metric inspired on a cosmological problem (cosmic strings) to model topological defects in graphene (pentagon or heptagon rings). We also computed the density of states in real space. This is one of my favourite works together with its companions:<\/span><\/li>\r\n<\/ul>\r\n
![\"\"](\"https:\/\/wp.icmm.csic.es\/field-theories-in-condensed-matter-physics\/wp-content\/uploads\/sites\/9\/2018\/02\/IMG_20180220_165819-300x208.jpg\")
Gaussian bump in graphene<\/p><\/div>\r\n
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- 2. Charge inhomogeneities due to smooth ripples in graphene sheets,\u00a0<\/b>Fernando de Juan, Alberto Cortijo, and Mar\u00eda A. H. Vozmediano,\u00a0<\/b>Phys. Rev. B 76, 165409 (2007<\/strong>),\u00a0arXiv:0706.0176<\/a>\u00a0where the gaussiam bump is introduced for the first time in graphene to model ripples with techniques of quantum field theory in curved space. This gaussian bump has later became a classic in the geometric modelling of curvature.<\/li>\r\n<\/ul>\r\n
![\"\"](\"https:\/\/wp.icmm.csic.es\/field-theories-in-condensed-matter-physics\/wp-content\/uploads\/sites\/9\/2018\/02\/IMG_20180224_222336-300x220.jpg\")
A glide dislocation in the Honeycomb lattice<\/p><\/div>\r\n
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- 3. Dislocations and torsion in graphene and related systems,\u00a0<\/b>Fernando de Juan, Alberto Cortijo, and Mar\u00eda A. H. Vozmediano,\u00a0<\/b>Nucl. Phys. B 828<\/strong>, 625 (2010),\u00a0\u00a0 arXiv:0909.4068<\/a>. Pity that there are no screw dislocations in 2D systems. Still this is a very nice work with a good idea behind.<\/span><\/li>\r\n<\/ul>\r\n
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- Space dependent Fermi velocity in strained graphene\u00a0<\/strong>Fernando de Juan,\u00a0Mauricio Sturla,\u00a0Maria A. H. Vozmediano,\u00a0<\/strong>Phys. Rev. Lett. 108,<\/strong> 227205, (2012)\u00a0arXiv:1201.2656<\/a>. The dependence of the Fermi velocity on the position of the sample in \u00a0corrugated samples is a prediction of the formalism of quantum field theory in curved space. In this work we generalize the tight binding expansion to obtain the result. This prediction was later experimentally confirmed. You can see the experiments here
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- Space dependent Fermi velocity in strained graphene\u00a0<\/strong>Fernando de Juan,\u00a0Mauricio Sturla,\u00a0Maria A. H. Vozmediano,\u00a0<\/strong>Phys. Rev. Lett. 108,<\/strong> 227205, (2012)\u00a0arXiv:1201.2656<\/a>. The dependence of the Fermi velocity on the position of the sample in \u00a0corrugated samples is a prediction of the formalism of quantum field theory in curved space. In this work we generalize the tight binding expansion to obtain the result. This prediction was later experimentally confirmed. You can see the experiments here
- 3. Dislocations and torsion in graphene and related systems,\u00a0<\/b>Fernando de Juan, Alberto Cortijo, and Mar\u00eda A. H. Vozmediano,\u00a0<\/b>Nucl. Phys. B 828<\/strong>, 625 (2010),\u00a0\u00a0 arXiv:0909.4068<\/a>. Pity that there are no screw dislocations in 2D systems. Still this is a very nice work with a good idea behind.<\/span><\/li>\r\n<\/ul>\r\n
- 2. Charge inhomogeneities due to smooth ripples in graphene sheets,\u00a0<\/b>Fernando de Juan, Alberto Cortijo, and Mar\u00eda A. H. Vozmediano,\u00a0<\/b>Phys. Rev. B 76, 165409 (2007<\/strong>),\u00a0arXiv:0706.0176<\/a>\u00a0where the gaussiam bump is introduced for the first time in graphene to model ripples with techniques of quantum field theory in curved space. This gaussian bump has later became a classic in the geometric modelling of curvature.<\/li>\r\n<\/ul>\r\n
- 1. Effects of topological defects and local curvature on the electronic properties of planar graphene,<\/strong> Alberto Cortijo, Mar\u00eda A.H. Vozmediano,<\/strong> \u00a0Nuclear Physics B 763<\/strong> [FS] (2007<\/strong>) 293\u2013308.\u00a0\u00a0 arXiv:cond-mat\/0612374<\/a>\u00a0In this work we used a metric inspired on a cosmological problem (cosmic strings) to model topological defects in graphene (pentagon or heptagon rings). We also computed the density of states in real space. This is one of my favourite works together with its companions:<\/span><\/li>\r\n<\/ul>\r\n
- \u00a0 \u00a0\u00abNon-Fermi liquid behavior of electrons in the half-lled honeycomb lattice. A Renormalization\u00a0Group Approach\u00bb, J. Gonzalez, F. Guinea y A.H. Vozmediano,<\/strong> Nucl.Phys. B424 (1994<\/strong>) 593. \u00a0 arXiv:hep-th\/9311105<\/a>.\u00a0<\/span>\u00a0In this work, still published in a \u00abParticles and fields\u00bb journal, we applied Renormalization Group techniques to analyze the Coulomb interactions in graphene (called sigle sheet of graphite in these times). We found the running upwards of the Fermi velocity as the energy is decreased, and the existence of a Lorentz invariant fixed point where the Fermi velocity equals the speed of light c. The prediction of the growth of the Fermi velocity was confirmed experimentally in 2011 (see the publication here:\u00a0http:\/\/www.condmat.physics.manchester.ac.uk\/pdf\/mesoscopic\/publications\/graphene\/SLGNatPhys2011.pdf). This work had a natural extension to Weyl semimetals recently worked out in\u00a010.1103\/PhysRevB.98.115122<\/i><\/a>.<\/li>\r\n<\/ul>\r\n
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<\/p>\r\n![\"\"](\"https:\/\/wp.icmm.csic.es\/field-theories-in-condensed-matter-physics\/wp-content\/uploads\/sites\/9\/2018\/02\/AME-300x213.jpg\")
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Generation of a Nernst current from the conformal anomaly in Dirac and Weyl semimetals,\u00a0Maxim Chernodub, Alberto Cortijo, \u00a0and\u00a0Mar\u00eda A. H. Vozmediano, <\/strong>Phys. Rev. Lett. 120<\/strong>, 206601 (2018).