Effective Field Theory for the Quantum Electrodynamics of a Graphene Wire Export

@article{citeulike:3821493, abstract = {We study the low-energy quantum electrodynamics of electrons and holes, in a thin graphene wire. We develop an effective field theory (EFT) based on an expansion in p/p\_T, where p\_T is the typical momentum of electrons and holes in the transverse direction, while p are the momenta in the longitudinal direction. We show that, to the lowest-order in (p/p\_T), our EFT theory is formally equivalent to the exactly solvable Schwinger model. By exploiting such an analogy, we find that the ground state of the quantum wire contains a condensate of electron-hole pairs. The excitation spectrum is saturated by electron-hole collective bound-states, and we calculate the dispersion law of such modes. We also compute the DC conducibility per unit length at zero chemical potential and find e^2/h. Our results become exact in the limit p/p\_T\<\<1.}, archivePrefix = {arXiv}, author = {Faccioli, P. and Lipparini, E.}, citeulike-article-id = {3821493}, citeulike-linkout-0 = {http://arxiv.org/abs/0812.4133}, citeulike-linkout-1 = {http://arxiv.org/pdf/0812.4133}, day = {22}, eprint = {0812.4133}, keywords = {effective, graphene, theory}, month = {Dec}, posted-at = {2009-01-10 23:14:09}, priority = {2}, title = {Effective Field Theory for the Quantum Electrodynamics of a Graphene Wire}, url = {http://arxiv.org/abs/0812.4133}, year = {2008} }

TY - JOUR ID - citeulike:3821493 L3 - citeulike-article-id:3821493 N2 - We study the low-energy quantum electrodynamics of electrons and holes, in a thin graphene wire. We develop an effective field theory (EFT) based on an expansion in p/p_T, where p_T is the typical momentum of electrons and holes in the transverse direction, while p are the momenta in the longitudinal direction. We show that, to the lowest-order in (p/p_T), our EFT theory is formally equivalent to the exactly solvable Schwinger model. By exploiting such an analogy, we find that the ground state of the quantum wire contains a condensate of electron-hole pairs. The excitation spectrum is saturated by electron-hole collective bound-states, and we calculate the dispersion law of such modes. We also compute the DC conducibility per unit length at zero chemical potential and find e^2/h. Our results become exact in the limit p/p_T<<1. TI - Effective Field Theory for the Quantum Electrodynamics of a Graphene Wire KW - effective KW - graphene KW - theory AU - Faccioli, P AU - Lipparini, E PY - 2008/Dec/22/ UR - http://arxiv.org/abs/0812.4133 ER -