Quantum Degenerate and Interacting Majorana Zero Modes in Two-Dimesional Continuous Space Yen-Ting Lin ^{1}, Ching-Yu Huang^{2}, Hao Lee^{1}, Daw-Wei Wang^{1,2*}^{1}Physics Department, National Tsing Hua University, Hsinchu city, Taiwan^{2}Physics Division, National Center for Theoretical Sciences, Hsinchu city, Taiwan* Presenter:Daw-Wei Wang, email:dawwei.wang@gmail.com We investigate the topological properties of spin polarized fermionic polar molecules loaded in a multi-layer structure with the electric dipole moment polarized to the normal direction by an external electric field. When fermions are paired by attractive inter-layer interaction, unpaired Majorana Zero Modes (MZMs) can be macroscopically generated in the 2D surface layers, if their in-plane kinetic energy satisfies a certain condition. We show that the resulting topological state is composed by 1D effective Kitaev ladders in momentum space, which are of BDI class characterized by the winding number Z. We further calculate the entanglement entropy, entanglement spectrum, and the critical temperature for realizing such MZMs, and then discuss the signature for observing such 2D quantum degenerate MZMs in the time-of-flight experiments [1].
We also present the extension to a 2D bilayer system with Rydberg-dressed interacting system in the similar system, emphasizing the possible interacting effects between Majorana modes at the edge states of the 2D layers when in a p_x+ip_y phase. [1] Yen-Ting Lin, Ching-Yu Huang, Hao Lee, Daw-Wei Wang, https://arxiv.org/abs/1707.06419 Keywords: Topological Superconductors, Majorana Fermions, Polar Molecules, Quantum Gases |