The next-next-nearest neighbor interaction of two Fibonacci anyons
The interaction between the next-next-nearest neighboring Fibonacci anyons was observed. The union requires the greatest proximity between the particles, hence the need for two braiding processes. The outcome of the fusion is projected onto the trivial channel, to signify a preference to the ferromagnetic state (i.e., having a negative coupling strength constant). The next-next-nearest neighbor interaction is shown to be more favorable than the next-nearest neighbor interaction.
By submitting their manuscript to the Samahang Pisika ng Pilipinas (SPP) for consideration, the Authors warrant that their work is original, does not infringe on existing copyrights, and is not under active consideration for publication elsewhere.
Upon acceptance of their manuscript, the Authors further agree to grant SPP the non-exclusive, worldwide, and royalty-free rights to record, edit, copy, reproduce, publish, distribute, and use all or part of the manuscript for any purpose, in any media now existing or developed in the future, either individually or as part of a collection.
All other associated economic and moral rights as granted by the Intellectual Property Code of the Philippines are maintained by the Authors.