Weyl and Dirac semimetals with Z2 topological charge

Physical Review B - Condensed Matter and Materials Physics

Volumn 89, Issue 23, 2014, Pages

  Morimoto, Takahiro ^a   Furusaki, Akira ^a,b  

^a RIKEN   (Japan)

^b RIKEN Center for Emergent Matter Science   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84903742994     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.89.235127     Document Type: Article

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49. The extension problem in Eq. (32) is reduced to (Equation presented) as follows. First, (Equation presented) is isomorphic to the algebra of real 2(Equation presented)2 matrices (Equation presented). That is, if we take the representation (Equation presented), an element of (Equation presented) is written as (Equation presented) with (Equation presented), which is a general form of a real 2(Equation presented)2 matrix. Thus the extension problem in Eq. (32) is equivalent to (Equation presented). Next, (Equation presented) can be discarded from the above extension, because faithful representations of (Equation presented) in real matrices have a natural one-to-one correspondence with those of (Equation presented).
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