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First-Order Transition in a Quantum Ising Model with p-Spin Interactions and a Random Field

We study a quantum transverse Ising model with p-spin interactions in the presence of a random field. The formulation for the free energy of the system is derived by making use of the Suzuki–Trotter approach with the thermodynamic perturbation theory, and the first-order transitions are obtained in the limit p → ∞.