Phase transitions in the Ising model with transverse field |
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| Authors: | James R Kirkwood |
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| Institution: | (1) Department of Mathematics, Sweet of Mathematics, Sweet Briar College, 24595 Sweet Briar, Virginia |
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| Abstract: | We show the existence of a phase transition in the Ising model with transverse field for dimensionsv  2 provided the transverse term is sufficiently small. This is done by proving long-range order occurs using the reflection positivity of the Hamiltonian and localization of eigenvectors. |
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| Keywords: | Ising model phase transition reflection positivity |
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