Vanishing Critical Magnetization in the Quantum Ising Model |
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Authors: | Jakob E Björnberg |
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Institution: | 1.Department of Mathematics,Chalmers and Gothenburg University,G?teborg,Sweden |
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Abstract: | Adapting the recent argument of Aizenman, Duminil-Copin and Sidoravicius for the classical Ising model, it is shown here that the magnetization in the transverse-field Ising model vanishes at the critical point. The proof applies to the ground state in dimension d ≥ 2 and to positive-temperature states in dimension d ≥ 3, and relies on graphical representations as well as an infrared bound. |
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