A Tutorial on the WKB Approximation for Innovative Dirac Materials
Andrii Iurov
Gebundenes Buch

A Tutorial on the WKB Approximation for Innovative Dirac Materials

Graphene and Beyond

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This textbook serves to supplement existing quantum mechanics courses with the WKB (Wentzel-Kramers-Brillouin) theory for recently discovered Dirac materials, such as graphene, a dice lattice, and alpha-T3 materials. This includes finding the semiclassical wave function, coordinate-dependent momentum, semiclassical action, the complete set of transport equations, and applicability conditions for the approximation. The discovery of graphene and its unique electronic behavior has transformed research in condensed matter physics over the last 10-15 years, but core curriculum in standard graduate-...