Application of the finite-temperature Lanczos method for the evaluation of magnetocaloric properties of large magnetic molecules

Abstract

We discuss the magnetocaloric properties of gadolinium containing magnetic molecules which potentially could be used for sub-Kelvin cooling. We show that a degeneracy of a singlet ground state could be advantageous in order to support adiabatic processes to low temperatures and simultaneously minimize disturbing dipolar interactions. Since the Hilbert spaces of such spin systems assume very large dimensions we evaluate the necessary thermodynamic observables by means of the Finite-Temperature Lanczos Method.

7 pages, 10 figures, invited for the special issue of EPJB on "New trends in magnetism and magnetic materials"

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• Magnetic Exchange Interactions in the Molecular Nanomagnet Mn${}_{12}$
• Finite-temperature properties of the Kitaev-Heisenberg models on kagome and triangular lattices studied by improved finite-temperature Lanczos methods
• Advanced Finite-Temperature Lanczos Method for anisotropic spin systems
• Magnetocaloric properties of V6 molecular magnet
• Diversity of quantum ground states and quantum phase transitions of a spin-1/2 Heisenberg octahedral chain
• Thermodynamic observables of Mn12-acetate calculated for the full spin-Hamiltonian
• Stability of the 1/3 magnetization plateau of the $J_1-J_2$ kagome Heisenberg model
• Magnetization plateau as a result of the uniform and gradual electron doping in a coupled spin-electron double-tetrahedral chain
• Isothermal and adiabatic magnetization processes of the spin-$\frac{1}{2}$ Heisenberg model on an anisotropic triangular lattice
• Spin-1/2 $XXZ$ Heisenberg cupolae: magnetization process and related enhanced magnetocaloric effect
• Magnetization distribution in a spin ladder-shaped quantum nanomagnet