We examine the requirements placed upon the Hamiltonian under the demand of gauge invariance. From these requirements we derive the gauge-invariant form of the tight-binding Hamiltonian with electromagnetic coupling. In our derivation we do not make recourse to a Peierls substitution and hence avoid introducing any ambiguities of path. Our expression transparently reduces to the familiar expression in a complete basis. We apply this Hamiltonian to study resonant magnetotunneling spectroscopy using a simple tight-binding model.
Physical Review B
- Pub Date:
- June 2001
- Basis sets and related methodology;
- Electron states and collective excitations in multilayers quantum wells mesoscopic and nanoscale systems;
- Galvanomagnetic and other magnetotransport effects