6533b830fe1ef96bd1297bd7

RESEARCH PRODUCT

Nexus and Dirac lines in topological materials

Grigory VolovikGrigory VolovikTero T. Heikkilä

subject

PhysicsCondensed Matter - Mesoscale and Nanoscale PhysicsHigh Energy Physics::LatticeDirac (software)Magnetic monopoleGeneral Physics and AstronomyFOS: Physical sciences02 engineering and technology021001 nanoscience & nanotechnologyTopology01 natural sciences0103 physical sciencesMesoscale and Nanoscale Physics (cond-mat.mes-hall)Point (geometry)010306 general physics0210 nano-technologyMerge (version control)Nexus (standard)Topological quantum numberTopology (chemistry)

description

We consider the $Z_2$ topology of the Dirac lines, i.e., lines of band contacts, on an example of graphite. Four lines --- three with topological charge $N_1=1$ each and one with $N_1=-1$ --- merge together near the H-point and annihilate due to summation law $1+1+1-1=0$. The merging point is similar to the real-space nexus, an analog of the Dirac monopole at which the $Z_2$ strings terminate.

https://dx.doi.org/10.48550/arxiv.1505.03277