Table 1 Applications on the Bilbao Crystallographic Server implemented for MTQC.

From: Magnetic topological quantum chemistry

BCS Applications Implemented for MTQC

Application

Contents

Description

MKVEC

Momentum stars of the MSGs

SN 12

Corepresentations

Small and full magnetic (co)reps

SN 13

MCOMPREL

Compatibility relations in the MSGs

SN 16

CorepresentationsPG

Magnetic site-symmetry group (co)reps

SN 18

MSITESYM

Magnetic small (co)reps at one k point induced from a site q

SN 22

MBANDREP

MEBRs of the MSGs

SN 23

  1. For this work, we have implemented the Bilbao Crystallographic Server (BCS) programs listed in this table to access group-theoretic properties of the MSGs that we have computed to complete the theory of MTQC. In order, this table contains the name of the program, the data accessible through the program, and the Supplementary Note in which the program is detailed. In addition to the properties of the MSGs listed in this table, each tool contains the analogous properties of the 230 Type-II (nonmagnetic) SGs. Therefore, as respectively detailed in each listed Supplementary Note, each program in this table subsumes the content of an existing program on the BCS.