Bosonic Many-body Theory of Quantum Spin Ice

Abstract

We carry out an analytical study of quantum spin ice, a U$(1)$ quantum spin liquid close to the classical spin ice solution for an effective spin $1/2$ model with anisotropic exchange couplings $J_{zz}$, $J_{\pm }$ and $J_{z\pm }$ on the pyrochlore lattice. Starting from the quantum rotor model introduced by Savary and Balents in Phys. Rev. Lett. 108, 037202 (2012), we retain the dynamics of both the spinons and gauge field sectors in our treatment. The spinons are described by a bosonic representation of quantum XY rotors while the dynamics of the gauge field is captured by a phenomenological Hamiltonian. By calculating the one-loop spinon self-energy, which is proportional to $J_{z\pm }^2$, we determine the stability region of the U$(1)$ quantum spin liquid phase in the $J_{\pm }/J_{zz}$ vs $J_{z\pm }/J_{zz}$ zero temperature phase diagram. From these results, we estimate the location of the boundaries between the spin liquid phase and classical long-range ordered phases.

15 pages, 6 figures. The published version

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Cited by in corpus (12)

• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• Magnetic Frustration in Lead Pyrochlores
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Signatures of spinon dynamics and phase structure of dipolar-octupolar quantum spin ices in two-dimensional coherent spectroscopy
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Field-temperature phase diagram of the enigmatic Nd${}_2$(Zr${}_{1-x}$Ti${}_x$)${}_2$O${}_7$ pyrochlore magnets
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Unveiling the Fifth State of Matter: Insights into Ultra-Hot Plasma and its Applications