期刊
PHYSICAL REVIEW B
卷 74, 期 8, 页码 -出版社
AMERICAN PHYSICAL SOC
DOI: 10.1103/PhysRevB.74.081308
关键词
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We analyze the Moore-Read Pfaffian state on a thin torus. The known sixfold degeneracy is realized by two inequivalent crystalline states with a four- and twofold degeneracy, respectively. The fundamental quasihole and quasiparticle excitations are domain walls between these vacua, and simple counting arguments give a Hilbert space of dimension 2(n-1) for 2n-k holes and k particles at fixed positions and assign each a charge +/- e/4. This generalizes the known properties of the hole excitations in the Pfaffian state as deduced using conformal field theory techniques. Numerical calculations using a model Hamiltonian and a small number of particles support the presence of a stable phase with degenerate vacua and quarter-charged domain walls also away from the thin-torus limit. A spin-chain Hamiltonian encodes the degenerate vacua and the various domain walls.
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