Raman spectroscopy of anyons in generic Kitaev spin liquids

Fuente: arXiv
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Autori principali: Joy, Aprem P., Rosch, Achim
Natura: Preprint
Pubblicazione: 2025
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author Joy, Aprem P.
Rosch, Achim
author_facet Joy, Aprem P.
Rosch, Achim
contents Optical probes have emerged as versatile tools for detecting exotic fractionalized phases in quantum materials. We calculate the low-energy Raman response arising from mobile, interacting Ising anyons (or visons) in the chiral Kitaev spin liquid perturbed by symmetry allowed interactions - a phase relevant to \rucl. under a magnetic field. At zero temperature, the two-anyon continuum response shows a leading power-law scaling of the intensity near the onset of the signal: $I(ω) \sim (ω-E^0_{2σ})^{\frac{1}{8}}$ for linear and parallel-circular polarization channels, where $E^0_{2σ}$ is the two-particle gap. Strong corrections due to short-range interactions arise at order $\frac{1}{4}$. For cross-circularly polarized channels, the scaling is given by $I(ω) \sim (ω-E^0_{2σ})^{|l\pm 1/8|}$, where the value of $l=0,1,2$ is determined by the number of minima in the single anyon dispersion. The exponents are directly related to the topological spin of Ising anyons $θ_σ=\fracπ{8}$, describing their exchange statistics. Our theory generalizes to spectral probes of anyonic quasiparticles with multiple band minima in other quantum liquids. Interaction between anyons may also induce bound-states, resulting in sharp peaks that show strong polarization dependence.
format Preprint
id arxiv_https___arxiv_org_abs_2505_01042
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Raman spectroscopy of anyons in generic Kitaev spin liquids
Joy, Aprem P.
Rosch, Achim
Strongly Correlated Electrons
Optical probes have emerged as versatile tools for detecting exotic fractionalized phases in quantum materials. We calculate the low-energy Raman response arising from mobile, interacting Ising anyons (or visons) in the chiral Kitaev spin liquid perturbed by symmetry allowed interactions - a phase relevant to \rucl. under a magnetic field. At zero temperature, the two-anyon continuum response shows a leading power-law scaling of the intensity near the onset of the signal: $I(ω) \sim (ω-E^0_{2σ})^{\frac{1}{8}}$ for linear and parallel-circular polarization channels, where $E^0_{2σ}$ is the two-particle gap. Strong corrections due to short-range interactions arise at order $\frac{1}{4}$. For cross-circularly polarized channels, the scaling is given by $I(ω) \sim (ω-E^0_{2σ})^{|l\pm 1/8|}$, where the value of $l=0,1,2$ is determined by the number of minima in the single anyon dispersion. The exponents are directly related to the topological spin of Ising anyons $θ_σ=\fracπ{8}$, describing their exchange statistics. Our theory generalizes to spectral probes of anyonic quasiparticles with multiple band minima in other quantum liquids. Interaction between anyons may also induce bound-states, resulting in sharp peaks that show strong polarization dependence.
title Raman spectroscopy of anyons in generic Kitaev spin liquids
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2505.01042