Anyonic Liquids in Nearly Saturated Spin Chains

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.

5 pages, 3 figures, 3 pages of supplemental material (to appear in PRL)

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Cited by in corpus (3)

• Correlation functions of one-dimensional strongly interacting two-component gases
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Criticality-Enhanced Magnetocaloric Effect in Quantum Spin Chain Material Copper Nitrate