2016/10/31 by Santanu K. Maiti, Santanu K. Maiti, Shreekantha Sil +1 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electronic structure #Insulator (electricity) #Metal–insulator transition #Optoelectronics #Phase (matter) #Phase transition #Physics #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quasicrystal #Quasiperiodic function #Tight binding #Transition point #Trapping #cond-mat.mes-hall
paper · pdf · doi:10.1016/j.aop.2017.05.008
published as Annals of Physics, Volume 382, July 2017, Pages 150-159 · 6 pages, 5 figures (Accepted for Publication in Annals of Physics)
openalex publication_date 2017/05/12 · arxiv created 2017/05/16 · arxiv updated 2017/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A tight-binding model of a multi-leg ladder network with a continuous quasiperiodic modulation in both the site potential and the inter-arm hopping integral is considered. The model mimics optical lattices where ultra-cold fermionic or bosonic atoms are trapped in double well potentials. It is observed that, the relative phase difference between the on-site potential and the inter-arm hopping integral, which can be controlled by the tuning of the interfering laser beams trapping the cold atoms, can result in a mixed spectrum of one or more absolutely continuous subband(s) and point like spectral measures. This opens up the possibility of a re-entrant metal-insulator transition. The subtle role played by the relative phase difference mentioned above is revealed, and we corroborate it numerically by working out the multi-channel electronic transmission for finite two-, and three-leg ladder networks. The extension of the calculation beyond the two-leg case is trivial, and is discussed in the work.