Particle-hole condensates of higher angular momentum in hexagonal systems

Hexagonal lattice systems (e.g. triangular, honeycomb, kagome) possess a multidimensional irreducible representation corresponding to $d_{x^2-y^2}$ and $d_{xy}$ symmetry. Consequently, various unconventional phases that combine these $d$-wave representations can occur, and in so doing may break time-reversal and spin rotation symmetries. We show that hexagonal lattice systems with extended repulsive interactions can exhibit instabilities in the particle-hole channel to phases with either $d_{x^2-y^2}+d_{xy}$ or $d+id$ symmetry. When lattice translational symmetry is preserved, the phase corresponds to nematic order in the spin-channel with broken time-reversal symmetry, known as the $\beta$ phase. On the other hand, lattice translation symmetry can be broken, resulting in various $d_{x^2-y^2}+d_{xy}$ density wave orders. In the weak-coupling limit, when the Fermi surface lies close to a van Hove singularity, instabilities of both types are obtained in a controlled fashion.Comment: 6 pages, 3 figures. Journal reference adde

Deleterious satellite charging and possible mitigation schemes

Electrostatic charge dissipation is one of the major concerns for satellites operating in the Earth's orbits. Under energetic plasma conditions, they may acquire very high negative potential (up to 10's of kV) due to the collection of energetic plasma constituents - resulting in temporary outages and permanent damages to onboard equipment. This study proposes and discusses a couple of physics-based schemes capable of mitigating/ minimizing the excessive charging effects over satellites under extreme plasma conditions in LEO/ GEO. An estimate of charge build-up on the space objects based on the charging dynamics as a function of ambient plasma parameters has been made. Our calculations illustrate that in the absence of a significant charge dissipation mechanism, a severe charging (10's kV) in the dark/ shadowed at GEO and high latitude LEO regions. We propose that installing a suitable UV lamp and micro/nano-structuring of the surface fabric can induce an efficient dissipation mechanism and effectively prevent the surface from deleterious charging effects during satellite operation. We demonstrate that the UV illumination may maintain the satellite surface at quite a small positive potential (~ 2 V) while the surface nanofabrication sustains it at a sufficiently low negative potential (~ 10 V). Both concepts are shown to work efficiently in mitigating the potential threat of massive charging and safely performing the satellite operation.Comment: 22 pages, 9 figure