Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
arxiv(2024)
摘要
Topological magnetic insulators host chiral gapless edge modes. In the
presence of strong interaction effects, the spin of these modes may
fractionalize. Studying a 2D array of coupled insulating spin-1/2 chains, we
show how spatially modulated magnetic fields and Dzyaloshinskii-Moriya
interactions can be exploited to realize chiral spin liquids or integer and
fractional spin quantum Hall effect phases. These are characterized by a gapped
bulk spectrum and gapless chiral edge modes with fractional spin. The spin
fractionalization is manifested in the quantized spin conductance, which can be
used to probe the fractional spin quantum Hall effect. We analyze the system
via bosonization and perturbative renormalization group techniques that allow
us to identify the most relevant terms induced by the spin-spin interactions
that open gaps and render the system topological under well-specified resonance
conditions. We show explicitly that the emerging phase is a genuine chiral spin
liquid. We suggest that the phases can be realized experimentally in synthetic
spin chains and ultracold atom systems.
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