Assembling Fibonacci anyons from a Z(3) parafermion lattice model

Article

关键词: 3-STATE POTTS ANTIFERROMAGNET;    NON-ABELIAN ANYONS;    MAJORANA FERMIONS;    QUANTUM;    DENSITY;    SUPERCONDUCTOR;    NANOWIRE;    PARTICLE;    SIGNATURE;    CHARGE;   

DOI  :  10.1103/PhysRevB.91.235112

来源: SCIE

【 摘 要 】

Recent concrete proposals suggest it is possible to engineer a two-dimensional bulk phase supporting non-Abelian Fibonacci anyons out of Abelian fractional quantum Hall systems. The low-energy degrees of freedom of such setups can be modeled as Z(3) parafermions hopping on a two-dimensional lattice. We use the density matrix renormalization group to study a model of this type interpolating between the decoupled-chain, triangular-lattice, and square-lattice limits. The results show clear evidence of the Fibonacci phase over a wide region of the phase diagram, most notably including the isotropic triangular-lattice point. We also study the broader phase diagram of this model and show that elsewhere it supports an Abelian state with semionic excitations.

【 授权许可】

Free