Vanishing Critical Magnetization in the Quantum Ising Model
Artikel i vetenskaplig tidskrift, 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, Matematiska vetenskaper, matematisk statistik

Göteborgs universitet

Communications in Mathematical Physics

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

Vol. 337 2 879-907