Asset Details
Do you wish to reserve the book?
Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
Do you wish to request the book?
Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Journal Article
Localization-delocalization wavepacket transition in Pythagorean aperiodic potentials
2016
Overview
We introduce a composite optical lattice created by two mutually rotated square patterns and allowing observation of continuous transformation between incommensurate and completely periodic structures upon variation of the rotation angle θ. Such lattices acquire periodicity only for rotation angles cos θ =
a
/
c
, sin θ =
b
/
c
, set by Pythagorean triples of natural numbers (
a
,
b
,
c
). While linear eigenmodes supported by lattices associated with Pythagorean triples are always extended, composite patterns generated for intermediate rotation angles allow observation of the localization-delocalization transition of eigenmodes upon modification of the relative strength of two sublattices forming the composite pattern. Sharp delocalization of supported modes for certain θ values can be used for visualization of Pythagorean triples. The effects predicted here are general and also take place in composite structures generated by two rotated hexagonal lattices.
Publisher
Nature Publishing Group UK,Nature Publishing Group,Macmillan Publishers
