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素粒子論研究

Spin dynamics on S=1/2 spin chains in a magnetic field(Fundamental Problems and Applications of Quantum Field Theory)

Mitsuhiro Arikawa

Published Apr 20, 2006• 0 citations
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The discovery of the almost ideal, two-chain spin-ladder material (C${}_{5}$H${}_{12}$N)${}_{2}$CuBr${}_{4}$ has once again focused attention on this most fundamental problem in low-dimensional quantum magnetism. With experimental data now available at all temperatures and magnetic fields, a correspondingly systematic theoretical description is required. This is obtained for the gapped regime within the bond-operator framework, by implementing three qualitative advances that account for triplet correlation effects, their evolution in a field, and the magnetization induced when both field and temperature are finite. Quantitative and parameter-free results are presented as experimental comparisons with the measured specific heat and as predictions for thermal renormalization of the triplet magnon excitations.

arXiv:1006.4196•Physical Review B•Feb 14, 2011•55 citations
We consider the easy-plane anisotropic spin-12\frac{1}{2}21​ Heisenberg chain in combined uniform longitudinal and transverse staggered magnetic fields. The low-energy limit of his model is described by the sine-Gordon quantum field theory. Using methods of integrable quantum field theory we determine the various components of the dynamical structure factor. To do so, we derive explicit expressions for all matrix elements of the low-energy projections of the spin operators involving at most two particles. We discuss applications of our results to experiments on one-dimensional quantum magnets.
The discovery of the almost ideal, two-chain spin-ladder material (C5{}_{5}5​H12{}_{12}12​N)2{}_{2}2​CuBr4{}_{4}4​ has once again focused attention on this most fundamental problem in low-dimensional quantum magnetism. With experimental data now available at all temperatures and magnetic fields, a correspondingly systematic theoretical description is required. This is obtained for the gapped regime within the bond-operator framework, by implementing three qualitative advances that account for triplet correlation effects, their evolution in a field, and the magnetization induced when both field and temperature are finite. Quantitative and parameter-free results are presented as experimental comparisons with the measured specific heat and as predictions for thermal renormalization of the triplet magnon excitations.