Magnon-like properties of 1D spin-3/2 chains

J. J. Hernández-Sarria Sr.; K. Rodríguez

doi:10.1117/12.2186467

25 August 2015 Magnon-like properties of 1D spin-3/2 chains

J. J. Hernández-Sarria Sr., K. Rodríguez

Proceedings Volume 9548, Optical Trapping and Optical Micromanipulation XII; 954822 (2015) https://doi.org/10.1117/12.2186467
Event: SPIE Nanoscience + Engineering, 2015, San Diego, California, United States

Abstract

We study the magnon-like properties of the repulsively interacting spin-3/2 fermions in one-dimensional optical lattices at quarter filling. By means of the Holstein-Primakoff transformation performed on the spinor chain we obtain a spinless boson system described by an extended Bose-Hubbard model with a hole-like lowest band. The magnon model involves single, pair and correlated hopping between nearest neighbors beside the on-site and nearest neighbor interactions. The Mott-insulator phases of the spin-3/2 lattice fermions are mirrored with the magnon-like counterpart by analyzing several observables which should reveal these phases in state-of-the-art experiments. The numerical calculations are performed using the Exact Diagonalization and Matrix Product State formalism.

Citation Download Citation

J. J. Hernández-Sarria Sr. and K. Rodríguez "Magnon-like properties of 1D spin-3/2 chains", Proc. SPIE 9548, Optical Trapping and Optical Micromanipulation XII, 954822 (25 August 2015); https://doi.org/10.1117/12.2186467

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