abstract

• We design a Stern-Gerlach apparatus that separates quasispin components on the lattice, without the use of external fields. The effect is engineered using intrinsic parameters, such as hopping amplitudes and on-site potentials. A theoretical description of the apparatus relying on a generalized Foldy-Wouthuysen transformation beyond Dirac points is given. Our results are verified numerically by means of wave-packet evolution, including an analysis of Zitterbewegung on the lattice. The necessary tools for microwave realizations, such as complex hopping amplitudes and chiral effects, are simulated. © 2016 American Physical Society.

authors

• Franco Villafañe John Alexander
• Pineda C.
• Rosado A.S.
• Sadurní E.

publication date

• 2016-01-01

published in

• Physical Review B  Journal

keywords

• Dirac point; External fields; Foldy-Wouthuysen transformations; Hopping amplitude; Intrinsic parameters; Quasispin; Zitterbewegung

Digital Object Identifier (DOI)

• 10.1103/PhysRevB.94.045129

start page

end page

volume

• 94

issue

• 4