Zero field Quantum Hall Effect in QED3

15th Mexican School of Particles and Fields

Raya, K.^1 ; Sánchez-Madrigal, S.^1,2 ; Raya, A.^1

Institute de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Ciudad Universitaria, Edificio C-3, Michoacán 58040, Morelia, Mexico^1

Institute de Física, Univesidad Nacional Autónoma de México (UNAM), Circuito de la Investigación Científica, Ciudad Universitaria, Mexico D.F. 04510, Mexico^2

关键词: Analytic structures;    Dyson equations;    Filling factor;    Kubo formula;    Landau gauge;    Nodal solutions;    Perturbation theory;    Quantum electrodynamics;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/468/1/012011/pdf
DOI  :  10.1088/1742-6596/468/1/012011

来源: IOP

【 摘 要 】

We study analytic structure of the fermion propagator in the Quantum Electrodynamics in 2+1 dimensions (QED3) in the Landau gauge, both in perturbation theory and nonperturbatively, by solving the corresponding Schwinger-Dyson equation in rainbow approximation. In the chiral limit, we found many nodal solutions, which could be interpreted as vacuum excitations. Armed with these solutions, we use the Kubo formula and calculate the filling factor for the zero field Quantum Hall Effect.