Coupled chains in electric and magnetic fields revisited

摘要: Abstract Coupled chains in electric and magnetic fields are discussed terms of interplays between periodicity conditions the factorization wavefunction wavenumber representation. Proceeding this manner yields a quickly tractable matching condition providing quantization rule to alternative derivation complex energy bands. Besides achieving deeper understanding Wannier–Stark ladders resonance energies, we now have opportunity establish related levels by resorting suitable conversion technique. This amounts perform an immediate integration such bands over Brillouin-zone. Such exhibit, time, safe dependence on chain parameter. Dynamic localization effects, conserved currents stripe conductivity formulae also been discussed.