Phase controlled metal–insulator transition in multi-leg quasiperiodic optical lattices

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 obser...

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Bibliographic Details
Published in:Annals of physics 2017-07, Vol.382, p.150-159
Main Authors: Maiti, Santanu K., Sil, Shreekantha, Chakrabarti, Arunava
Format: Article
Language:English
Subjects:
Analytical argument
ATOMS
BEAMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DESIGN
FERMIONS
INTEGRALS
LASERS
LEGS
METALS
Metal–insulator transition
MODULATION
Multi-leg ladder network
Phase controlled engineering
PHASE TRANSFORMATIONS
POTENTIALS
TRAPPING
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Summary: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. ▪ •Phase controlled metal–insulator transition is discussed.•An analytical prescription is given to understand MI transition.•Our work provides a way of designing experiments involving laser beams.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2017.05.008