Vanishing Critical Magnetization in the Quantum Ising Model
Journal article, 2015

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 a parts per thousand yen 2 and to positive-temperature states in dimension d a parts per thousand yen 3, and relies on graphical representations as well as an infrared bound.


Jakob Björnberg

Chalmers, Mathematical Sciences, Mathematical Statistics

University of Gothenburg

Communications in Mathematical Physics

0010-3616 (ISSN) 1432-0916 (eISSN)

Vol. 337 2 879-907

Subject Categories

Computational Mathematics



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