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

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Transcript
“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
(back-scattering)
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.
2015/12/6@PKU