Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session Y44: Exotic Majorana Physics and BeyondInvited

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Sponsoring Units: DCMP Chair: Maissam Barkeshli, University of Maryland, College Park Room: BCEC 210C 
Friday, March 8, 2019 11:15AM  11:51AM 
Y44.00001: Solid state realizations of SachdevYeKitaev models Invited Speaker: Marcel Franz An intriguing connection, pointed out by Kitaev in 2015, exists between a simple model of Majorana fermions with random alltoall interactions – the SachdevYeKitaev (SYK) model – and the horizons of extremal black holes in twodimensional antide Sitter space. This connection furnishes a rare example of holographic duality between a solvable quantummechanical model and Einstein gravity. It also opens up a possibility to study quantum black holes, realized holographically in a quantum mechanical model, in a tabletop experiment. In this talk I will review some of these developments and describe the recent efforts to bring the family of SYK models closer to experimental reality. The proposed experimental realizations employ both complex and Majorana fermions in various atomic and solid state systems. These include some of the standard platforms for Majorana zero modes (proximitized quantum wires and topological insulator  superconductor interfaces) as well as electrons in the lowest Landau level in a graphene flake with an irregular boundary. 
Friday, March 8, 2019 11:51AM  12:27PM 
Y44.00002: Approximating the SachdevYeKitaev model with Majorana wires Invited Speaker: Jason Alicea The SachdevYeKitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. I will discuss a potential solidstate implementation based on a quantum dot coupled to an array of topological superconducting wires hosting Majorana zero modes. Interactions and disorder intrinsic to the dot mediate the desired random Majorana couplings, while an approximate symmetry suppresses additional unwanted terms. Random matrix theory and numerics show that this setup indeed emulates the SYK model (with certain corrections). Tunneling measurements provide an appealing first experimental test of this scenario. 
Friday, March 8, 2019 12:27PM  1:03PM 
Y44.00003: Majorana Multiplexing Invited Speaker: Yang Peng TBD 
Friday, March 8, 2019 1:03PM  1:39PM 
Y44.00004: Quantum Engineering of Majorana Fermions Invited Speaker: Dirk Morr The experimental observation of Majorana states in topological superconductors represents a major breakthrough in realizing their applications in topological quantum computing. This has stimulated the search for new possibilities to engineer Majorana states at the nanoscale, in particular using magneticsuperconducting hybrid (MSH) structures in which islands of magnetic adatoms are placed on the surface of swave superconductors. 
Friday, March 8, 2019 1:39PM  2:15PM 
Y44.00005: The MajoranaHubbard Model Invited Speaker: Ian Affleck When a vortex lattice forms in a superconducting layer on a topological insulator a Majorana fermion is predicted to appear in each vortex core. Hopping and interaction terms between the Majorana fermions lead to a novel generalization of the Hubbard model. Furthermore, the hopping amplitude is predicted to vanish at a special value of the chemical potential in the topological insulator, allowing the phase diagram to be studied as a function of the ratio of interaction strength to hopping amplitude. I will present results on the interesting phase diagrams, which includes supersymmetric critical points, in both one and two dimensions. 
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