Download Dirac and Weyl fermions in condensed matter systems: an introduction

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2D Dirac/Weyl fermions:
surface states of 3D topological insulators(TI)
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Ref.: Qi&Zhang, RevModPhys'11
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Many 3D TI materials: BiSb alloy, Bi2(Se,Te)3,
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Simplest model: massive Dirac fermions (4 bands) in 3D,
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Trivial/non-trivial TI: M0&M2 are of same/different sign.
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Surface: mass domain wall, M0 changes sign.
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Surface state: Jackiw-Rebbi soliton on mass domain wall.
e.g. TI(M0<0) in z<0 and vacuum(M0>0) in z>0, two surface
states satisfy
and
and
follow 2x2 gapless Dirac Hamiltonian (half of graphene)
2015/12/[email protected]