Complete bond-operator theory of the two-chain spin ladder

Abstract

The discovery of the almost ideal, two-chain spin-ladder material (C_5H_12N)_2CuBr_4 has once again focused attention on this most fundamental problem in low-dimensional quantum magnetism. Within the bond-operator framework, three qualitative advances are introduced which extend the theory to all finite temperatures and magnetic fields in the gapped regime. This systematic description permits quantitative and parameter-free experimental comparisons, which are presented for the specific heat, and predictions for thermal renormalization of the triplet magnon excitations.

12 pages, 10 figures

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• Direct observation of the Higgs amplitude mode in a two-dimensional quantum antiferromagnet near the quantum critical point
• Thermodynamic properties of highly frustrated quantum spin ladders: influence of many-particle bound states
• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
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• Long-lived magnons throughout the Brillouin zone of the strong-leg spin ladder (C${}_7$H${}_{10}$N)${}_2$CuBr${}_4$
• Correlated decay of triplet excitations in the Shastry-Sutherland compound SrCu${}_2$(BO${}_3$)${}_2$
• Dynamical properties of a driven dissipative dimerized $S=1/2$ chain
• Bound states and field-polarized Haldane modes in a quantum spin ladder
• Magnetic ordering induced by interladder coupling in the spin-1/2 Heisenberg two-leg ladder antiferromagnet C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Microscopic model for Bose-Einstein condensation and quasiparticle decay
• Finite temperature line-shapes of hard-core bosons in quantum magnets: A diagrammatic approach tested in one dimension
• Magnetic responses of randomly depleted spin ladders
• Effective spin-1 breathing kagome Hamiltonian induced by the exchange hierarchy in the maple leaf mineral bluebellite
• Multiple Magnetic Bilayers and Unconventional Criticality without Frustration in BaCuSi${}_2$O${}_6$
• Dynamic structure factor of disordered quantum spin ladders
• Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
• Strong-coupling magnetophononics: Self-blocking, phonon-bitriplons, and spin-band engineering
• Ultrafast Frustration-Breaking and Magnetophononic Driving of Singlet Excitations in a Quantum Magnet
• Spin and orbital ordering in bilayer Sr${}_3$Cr${}_2$O${}_7$
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
• Finite temperature dynamical correlations for the dimerized spin-1/2 chain
• Classical dynamics of the antiferromagnetic Heisenberg $S=1/2$ spin ladder
• Low temperature thermodynamics of multi-flavored hardcore bosons by the Brückner approach
• Thermal conductivity of anisotropic spin - 1/2 two leg ladder:Green's function approach
• Pulsed Magnetophononics in Gapped Quantum Magnets
• Crystallography-driven molecularization of a two-dimensional spin-$3/2$ magnet
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
• Coupled dimerized alternating-bond quantum spin chains in the distorted honeycomb-lattice magnet Cu${}_5$SbO${}_6$
• Effect of spin-orbit coupling on spin and orbital ordering in Sr${}_{n+1}$Cr${}_n$O${}_{3n+1}$, $n=1,2$