Collective spinon spin wave in a magnetized U(1) spin liquid

Abstract

We study the transverse dynamical spin susceptibility of the two dimensional U(1) spinon Fermi surface spin liquid in a small applied Zeeman field. We show that both short-range interactions, present in a generic Fermi liquid, as well as gauge fluctuations, characteristic of the U(1) spin liquid, qualitatively change the result based on the frequently assumed non-interacting spinon approximation. Short-range interaction leads to a new collective mode: a "spinon spin wave" which splits off from the two-spinon continuum at small momentum and disperses downward. Gauge fluctuations renormalize the susceptibility, providing non-zero power law weight in the region outside the spinon continuum and giving the spin wave a finite lifetime, which scales as momentum squared. We also study the effect of Dzyaloshinskii-Moriya anisotropy on the zero momentum susceptibility, which is measured in electron spin resonance (ESR), and obtain a resonance linewidth linear in temperature and varying as $B^{2/3}$ with magnetic field $B$ at low temperature. Our results form the basis for a theory of inelastic neutrons scattering, ESR, and resonant inelastic x-ray scattering (RIXS) studies of this quantum spin liquid state.

v2: published and updated version with much improved Supplemental Materials, 5+12 pages, 2 figures

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Cited by in corpus (13)

• Spin liquids in geometrically perfect triangular antiferromagnets
• Dynamical signatures of quasiparticle interactions in quantum spin chains
• Electron Spin Resonance of the Interacting Spinon Liquid
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Electronic Density of States of a $U\left(1\right)$ Quantum Spin Liquid with Spinon Fermi Surface. II. Zeeman Magnetic Field Effects
• Collective spin modes in Fermi liquids with spin-orbit coupling
• Hydrodynamics of quantum spin liquids
• Dynamical response theory of interacting Majorana fermions and its application to generic Kitaev quantum spin liquids in a field
• Collective spin oscillations in a magnetized graphene sheet
• Gauge flux generations of weakly magnetized Dirac spin liquid in a kagomé lattice
• Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions
• Spin order, spin excitations, and RIXS spectra of spin-1/2 tetramer chains
• Spin liquid phase in the Hubbard model: Luttinger-Ward analysis of the slave-rotor formalism