Fig. 1
From: Non-saturating quantum magnetization in Weyl semimetal TaAs
Magnetic responses of the non-relativistic and relativistic fermions. a The energy bands of non-relativistic (parabolic-band) fermions in zero magnetic field. b The LBs of non-relativistic fermions form in a magnetic field. Only the 0th LB crosses the EF in the QL. c Two energy bands of non-relativistic (parabolic-band) fermions touch each other in a momentum point in zero magnetic field. d The LBs of non-relativistic fermions touch each other in a magnetic field. e, f Calculated parallel magnetization (M||) and effective transverse magnetization (MT) of non-relativistic fermions (the two cases show identical behaviors in the QL, here we just show a representative one for brevity) as functions of magnetic field. We used two constraints for the calculation in the QL: fixed the EF (red line) and fixed carrier density (Nc) (blue line). g A typical schematic energy band of a pair of type I Weyl nodes in zero magnetic field. h A series of LBs for a pair of Weyl nodes form in a magnetic field. Two 0th LBs are entirely chiral (green and violet). i A typical relativistic fermion band (Dirac model) with a small gap. The gap is much smaller than the cutoff energy Λ. This model also gives out the same non-saturating behavior as we see in the Weyl case. j The corresponding series of LBs for a simple Dirac model with a small gap in a magnetic field. k, l Calculated M|| and MT as functions of magnetic field, respectively. The two cases show identical behaviors in the QL, and here we just show a representative one for brevity
