Heidelberg 2015 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 44: Quantum Gases: Miscellaneous

Q 44.4: Talk

Wednesday, March 25, 2015, 15:30–15:45, P/H2

The XYZ-chain with Dzyaloshinskii-Moriya interactions and interacting Majorana fermions with complex hopping — •Johannes Jünemann and Matteo Rizzi — Johannes Gutenberg-Universität Mainz, Institut für Physik, Staudingerweg 7, D-55099 Mainz, Germany

Advances in cold-atom experiments put the realization of more and more intriguing spin-Hamiltonians within reach. Here, we investigate the XYZ-model with Dzyaloshinskii-Moriya interactions which arises, e.g., from the strong-coupling limit in a two-species bosonic chain with spin-orbit coupling, complex hopping and anisotropic on-site interactions. Contrary to earlier work, which focussed on the regime with ferromagnetic interactions along the direction of the Dzyaloshinskii-Moriya vector, we lay out the full phase diagram, including the antiferromagnetic regime. We point out the duality to an enriched Kitaev-Majorana chain, where interactions and a magnetic field inducing a supercurrent are present in addition to the usual p-wave pairing. We therefore describe the phase diagram also in terms of topological properties of the dual fermionic model.