Ferromagnetic phase in graphene-based planar heterostructures induced by charged impurity

Abstract

The spontaneous self-consistent generation of axial current and corresponding dipole-like magnetic field in a planar electron-positron system similar to graphene and related hetero-structures doped by charged impurity with charge $Z$ is explored. It is shown that this effect takes place for $Z\ge Z^{\ast }$ with $Z^{\ast }$ being a peculiar analogue of the Curie point in ferromagnetics. The properties of induced ferromagnetic state are studied in detail. It is shown also that the arising this way magnetic dipole leads to a significant decrease of the total Casimir (vacuum) energy of the system, which in turn provides its spontaneous generation above the "Curie point" $Z\ge Z^{\ast }$.

References in corpus (10)

• Boron nitride substrates for high-quality graphene electronics
• Vacuum Polarization and Screening of Supercritical Impurities in Graphene
• Nonlinear screening of charge impurities in graphene
• Supercritical Coulomb Impurities in Gapped Graphene
• Polarization Charge Distribution in Gapped Graphene
• Vacuum polarization of graphene with a supercritical Coulomb impurity: Low-energy universality and discrete scale invariance
• Vacuum energy of one-dimensional supercritical Dirac-Coulomb system
• Non-perturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system. I. Vacuum charge density
• Non-perturbative vacuum polarization effects in two-dimensional supercritical Dirac-Coulomb system. II. Vacuum energy
• Massless Dirac cones in graphene: experiments and theory