Probing Anomalous Longitudinal Fluctuations of the Interacting Bose Gas via Bose-Einstein Condensation of Magnons

Abstract

The emergence of a finite staggered magnetization in quantum Heisenberg antiferromagnets subject to a uniform magnetic field can be viewed as Bose-Einstein condensation of magnons. Using non-perturbative results for the infrared behavior of the interacting Bose gas, we present exact results for the staggered spin-spin correlation functions of quantum antiferromagnets in a magnetic field at zero temperature. In particular, we show that in dimensions 1 < D <= 3 the longitudinal dynamic structure factor S_parallel(q,omega) describing staggered spin fluctuations in the direction of the staggered magnetization exhibits a critical continuum whose weight can be controlled experimentally by varying the magnetic field.

arXiv comment4 pages, 1 figure, revised version. To appear in Physical Review Letters

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Cited by in corpus (8)

• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Functional renormalization group approach to interacting bosons at zero temperature
• Quantum Heisenberg antiferromagnets in a uniform magnetic field: nonanalytic magnetic field dependence of the magnon spectrum
• Spin supersolid phase in coupled alternating spin chains
• Condensate density of interacting bosons: a functional renormalization group approach
• Magnetic Catalysis in Antiferromagnetic Films
• Green's function formalism for a condensed Bose gas consistent with infrared-divergent longitudinal susceptibility and Nepomnyashchii-Nepomnyashchii identity
• Singular spin-wave theory and scattering continua in the cone state of Cs_2CuCl_4