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Publication Date


Document Type

Honors Project




Lattice dynamics, Thermodynamics-Mathematical models, Magnetism, Frustration, Frustrated systems, Triangular Kagome lattice, Heisenberg spins, Thermodynamics


We study the thermodynamic properties of Heisenberg spins on the frustrated Triangular Kagome Lattice (TKL) in zero external magnetic eld. We use exact diagonalization tech- niques on a small-model approximation of the TKL with a total of 9 spins to approximate the energy eigenstates and nd the approximate speci c heat and magnetic susceptibility of the TKL. We compare the results of the speci c heat to that of a TKL with Ising spins. In the Heisenberg spin TKL we see a shift of the maximum towards lower temperatures as well as the emergence of a shoulder in the low temperature tail that is not in the TKL with Ising spins.




17 pages, [36] pages of illustrations : illustrations (some color). Honors Project-Smith College, 2014. Includes bibliographical references (page 17)