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

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“Trivial” realization of Dirac fermions
in solid state systems: 1D metal
For a 1D (spinless) metal with two “Fermi points” at ±kF,
low energy electrons are described by “right/left mover”
under the 1D Dirac equation
Mass term
is usually forbidden by lattice
translation symmetry (conservation
of momentum mod G)
Electron interactions are important.
Free fermion description is generically not valid in 1D.