Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain

Classical and quantum anisotropic Heisenberg antiferromagnets

We study classical and quantum Heisenberg antiferromagnets with exchange anisotropy of XXZ–type and crystal field single–ion terms of quadratic and cubic form in a field. The magnets display a variety of phases, including the spin–flop (or, in the quantum case, spin–liquid) and biconical (corresponding, in the quantum lattice gas description, to supersolid) phases. Applying ground–state conside...

Intrinsic Localized Modes of a Classical Discrete Anisotropic Heisenberg Ferromagnetic Spin Chain

We report several exact intrinsic localized mode solutions of the classical spin evolution equation of a one-dimensional anisotropic Heisenberg ferromagnetic spin chain in terms of Jacobian elliptic functions. These include one, two and three spin excitations. All these solutions have smooth anticontinuum limits. Their linear stability and semiclassical quantization are also discussed briefly.

The phase diagram of the anisotropic Spin-1 Heisenberg Chain

Thermodynamics of the Anisotropic Spin - 1 / 2 Heisenberg Chain and Related Quantum Chains ∗

The free energy and correlation lengths of the spin-1/2 XY Z chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented for the low-temperature asymptotics, in particular for the critical XXZ chain in an external magnetic field. These results are compared to predictions by conf...

Static thermodynamic quantities of quantum Heisenberg spin glasses with anisotropic interaction in applied magnetic fields.

In the static replica symmetric approximation, the quantum Heisenberg spin-glass model with the infinite-ranged random Dzyaloshinskii-Moriya interaction in external magnetic fields is investigated in detail. The local susceptibility and the corresponding order parameters are calculated, which are in good agreement with those of thermofield calculations. The dependencies of entropy and specific ...