Ising anyonic topological phase of interacting Fermions in one dimension
arXiv:1705.01786 · doi:10.1103/PhysRevB.96.121109
Abstract
We study a microscopic model of interacting fermions in a ladder setup, where the total number of particles is conserved. At a special point, the ground state is known and gives rise to a topological state of matter with edge modes obeying the statistics of Ising anyons. Using a combination of bosonization as well as full scale numerical density-matrix renormalization group analysis, we map out the full phase diagram. We nd that the topological phase survives in an extended parameter regime. Remarkably, an additional symmetry is required to protect the topological phase.
9 pages, 5 figures
References in corpus (15)
- Non-Abelian Anyons and Topological Quantum Computation
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- The density-matrix renormalization group in the age of matrix product states
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Exponential Protection of Zero Modes in Majorana Islands
- Helical Metal Inside a Topological Band Insulator
- A Strictly Single-Site DMRG Algorithm with Subspace Expansion
- A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
- Many-body characterization of topological superconductivity: The Richardson-Gaudin-Kitaev chain
- Localized Majorana-like modes in a number conserving setting: An exactly solvable model
- Topological States in a One-Dimensional Fermi Gas with Attractive Interactions
- Topological indices, defects and Majorana fermion in chiral superconductors
- Topological states in a microscopic model of interacting fermions
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