WSM with broken P symmetry

Weyl semimetals with broken \(\mathcal{P}\) symmetry¶

If \(\mathcal{T}\) is preserved, then inversion symmetry must be broken to realize a Weyl semimetal. A key difference from the case of the WSM with broken T symmetry is that the total number of Weyl points must now be a multiple of four. This occurs since under time reversal, a Weyl node at \(k_0\) is converted into a Weyl node at \(−k_0\) with the same chirality. Since the net chirality must vanish, there must be another pair with the opposite chirality.

Such Inversion symmetry breaking Weyl semimetal may be more experimentally compatible as external fringe fields from a ferromagnet may be problematic for angle-resolved photoemission spectroscopy’s (ARPES) momentum resolution. Additionally, without the complications of magnetism in principle some properties of the system should be simpler under strong magnetic field