Spectrum and correlation functions of a quasi-one-dimensional quantum Ising model
arXiv:cond-mat/0212248 · doi:10.1103/PhysRevLett.90.177206
Abstract
We consider a model of weakly coupled quantum Ising chains. We describe the phase diagram of such a model and study the dynamical magnetic susceptibility by means of Bethe ansatz and the Random Phase Approximation applied to the inter-chain exchange. We argue that some of the beautiful physics of the quantum Ising chain in a magnetic field survives in the ordered state of the quasi-one-dimensional model and can be observed experimentally by means of neutron scattering.
arXiv comment4 pages, 3 figures
References in corpus (8)
- Dynamics of coupled quantum spin chains
- Non-integrable Quantum Field Theories as Perturbations of Certain Integrable Models
- The Spin-Spin Correlation Function in the Two-Dimensional Ising Model in a Magnetic Field at
- Charge ordering and opening of spin gap in NaV_2O_5
- From Form Factors to Correlation Functions: The Ising Model
- Calculation of Neel temperature for S=1/2 quasi-one-dimensional Heisenberg antiferromagnets
- Off-Shell Dynamics of the O(3) Nonlinear Sigma-Model -- Beyond Monte-Carlo and Perturbation Theory
- On the 3-particle scattering continuum in quasi one dimensional integer spin Heisenberg magnets
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