41 citations · 74 across the 17 of their papers we have counts for
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Fractionally charged anyon generated by topological path fusion in magnetic flux lattice
Tieyan Si
Anyon usually exists as collective excitation of two dimensional electron gas subjected to strong magnetic field, carrying fractional charges and exotic statistical character beyon…
Entangled multi-knot lattice model of anyon current
Tieyan Si
We proposed an entangled multi-knot lattice model to explore the exotic statistics of anyon. This knot lattice model bears abelian and non-abelian anyons as well as integral and fr…
Convective Boson-Fermion pairing model constructed by oscillating one-dimensional optical superlattice
Tieyan Si
Boson-fermion mixture exist in nature as quark-gluon plasma and He-He mixture. We proposed a convective boson-fermion pairing theory, that can be implemented by ultracold a…
Explicit illustration of non-abelian fusion rules in a small spin lattice
Yue Yu, Tieyan Si
We exactly solve a four-site spin model with site-dependent Kitaev's coupling in a tetrahedron by means of an analytical diagonalization. The non-abelian fusion rules of eigen vort…
Anyonic Loops in Three Dimensional Spin liquid and Chiral Spin Liquid
Tieyan Si, Yue Yu
We established a large class of exactly soluble spin liquids and chiral spin liquids on three dimensional helix lattices by introducing Kitaev-type's spin coupling. In the chiral s…
Exactly soluble spin-1/2 models on three-dimensional lattices and non-abelian statistics of closed string excitations
Tieyan Si, Yue yu
Exactly soluble spin- models on three-dimensional lattices are proposed by generalizing Kitaev model on honeycomb lattice to three dimensions with proper periodic bounda…