PIRSA:16080095

Ising anyons in frustration-free Majorana-dimer models

Cheng, M. (2016). Ising anyons in frustration-free Majorana-dimer models. Perimeter Institute. https://pirsa.org/16080095

Cheng, Meng. Ising anyons in frustration-free Majorana-dimer models. Perimeter Institute, Aug. 29, 2016, https://pirsa.org/16080095 

          @misc{ pirsa_PIRSA:16080095,
            doi = {10.48660/16080095},
            url = {https://pirsa.org/16080095},
            author = {Cheng, Meng},
            keywords = {Condensed Matter},
            language = {en},
            title = {Ising anyons in frustration-free Majorana-dimer models},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {aug},
            note = {PIRSA:16080095 see, \url{https://pirsa.org}}
          }

Meng Cheng Microsoft Station Q

DOI 10.48660/16080095
Collection
Talk Type Scientific Series
Subject

Abstract

Dimer models have long been a fruitful playground for understanding topological physics. We introduce a new class -- termed Majorana-dimer models -- where the dimers represent pairs of Majorana modes. We find that the simplest examples of such systems realize an intriguing, intrinsically fermionic phase of matter that can be viewed as the product of a chiral Ising theory, which hosts deconfined non-Abelian Ising quasiparticles, and a topological (p − ip) superconductor. While the bulk anyons are described by a single copy of the Ising theory, the edge remains fully gapped. Consequently, this phase can arise in exactly solvable, frustration-free models. We present parent Hamiltonians for this phase and unambiguously identify the topological order from entanglement measurement of the ground-state manifold on torus.