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The one-dimensional Ising model with a transverse field

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Annals of Physics, 57 (1): 79--90 (марта 1970)
DOI: 10.1016/0003-4916(70)90270-8

Аннотация

The one-dimensional Ising model with a transverse field is solved exactly by transforming the set of Pauli operators to a new set of Fermi operators. The elementary excitations, the ground-state energy and the free energy are found. The instantaneous correlation function between any two spins is calculated and this model shows a finite long-range order in the ground state when the transverse field is less than a critical value.

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