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arXiv · 1408.5151

Anyonic Liquids in Nearly Saturated Spin Chains

Armin Rahmani·Adrian E. Feiguin·Cristian D. Batista
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Abstract

Most Heisenberg-like spin chains flow to a universal free-fermion fixed point near the magnetic-field induced saturation point. Here we show that an exotic fixed point, characterized by two species of low-energy excitations with mutual anyonic statistics, may also emerge in such spin chains if the dispersion relation has two minima. By using bosonization, two-magnon exact calculations, and numerical density-matrix-renormalization-group, we demonstrate the existence of this anyonic-liquid fixed point in an XXZ spin chain with up to second neighbor interactions. We also identify a range of microscopic parameters, which support this phase.

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Armin Rahmani, Adrian E. Feiguin, Cristian D. Batista. 2014-12-02. Anyonic Liquids in Nearly Saturated Spin Chains. https://doi.org/10.1103/physrevlett.113.267201

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