Quantum breathers in XXZ ferromagnetic chains with on-site easy-plane anisotropy

Abstract

The existence and properties of quantum breathers in a one-dimensional XXZ ferromagnetic Heisenberg spin chain with single-ion easy-plane anisotropy are investigated analytically in the Hartree approximation. We show that the system can support the appearance of quantum breathers, and discuss their existence conditions and properties. In addition, our results show that, for quantum breathers in this system, both the corresponding energy and magnetic moment are quantized.

Investigation of quantum and thermal fluctuations ferromagnetic spin chains with easy-plane anisotropy

“…perpendicular magnetic fields [33][34][35], rhombic anisotropies [25], frustration due to an antiferromagnetic next-nearest neighbor exchange interaction [36] or additional interactions like the Dzyaloshinsky-Moriya interaction [29]. However, not only the occurrence of new quantum phases and the description of the transition between several phases have attracted the scientist, but also the quantum dynamics within the spin chains: starting from the description of spin waves [37], over the occurrence of domain walls [35] and breathers [38] till the transport of entanglement and quantum information [26] which correspond to the idea to use quantum spin chains for technological usage.…”