The amplitude mode in three-dimensional dimerized antiferromagnets

Abstract

The amplitude (Higgs) mode is a ubiquitous collective excitation related to spontaneous breaking of a continuous symmetry. We combine quantum Monte Carlo (QMC) simulations with stochastic analytic continuation to investigate the dynamics of the amplitude mode in a three-dimensional dimerized quantum spin system. We characterize this mode by calculating the spin and dimer spectral functions near the quantum critical point, finding that both the energies and the intrinsic widths satisfy field-theoretical scaling predictions. While the line width of the spin response is close to that observed in neutron scattering experiments on TlCuCl${}_3$, the dimer response is significantly broader. Our results demonstrate that highly non-trivial dynamical properties are accessible by modern QMC and analytic continuation methods.

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• Dynamical Signature of Symmetry Fractionalization in Frustrated Magnets
• Mutually attracting spin waves in the square-lattice quantum antiferromagnet
• Topological phase transition and single/multi anyon dynamics of $Z_2$ spin liquid
• Spectral function of the $J_1-J_2$ Heisenberg model on the triangular lattice
• Amplitude Mode in Quantum Magnets via Dimensional Crossover
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• Dynamical properties of the $S=\frac{1}{2}$ random Heisenberg chain
• Dynamics of Compact Quantum Electrodynamics at Large Fermion Flavor
• Fractional and composite excitations of antiferromagnetic quantum spin trimer chains
• Excitation Gap Scaling near Quantum Critical Three-Dimensional Antiferromagnets
• Vestigial anyon condensation in kagome quantum spin liquids
• Finite-size Scaling of O($n$) Systems at the Upper Critical Dimensionality
• NMR relaxation in the spin-1 Heisenberg chain
• Spin excitation spectra of the two dimensional $S=1/2$ Heisenberg model with a checkerboard structure
• Analytic continuation with Padé decomposition
• The Higgs Mode of Planar Coupled Spin-Ladders and its Observation in C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
• Finite-Temperature Charge Dynamics and the Melting of the Mott Insulator
• Tunable deconfined quantum criticality and interplay of different valence-bond solid phases
• Exciton condensation in bilayer spin-orbit insulator
• Stable Higgs mode in anisotropic quantum magnets
• Magnon, doublon and quarton excitations in 2D S=1/2 trimerized Heisenberg models
• Unifying static and dynamic properties in 3D quantum antiferromagnets
• Response of the Higgs amplitude mode of superfluid Bose gases in a three dimensional optical lattice
• Single-Particle Dispersion and Density of States of the Half-Filled 2D Hubbard Model
• Pressure-tuned quantum criticality in the large-$D$ antiferromagnet DTN
• Cross Validation in Stochastic Analytic Continuation
• Phase transitions in the spin-1/2 Heisenberg antiferromagnet on the dimerized diamond lattice
• Single-hole spectral functions in one-dimensional quantum magnets with different ground states
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions