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Vanishing Critical Magnetization in the Quantum Ising Model

Jakob E. Björnberg (Institutionen för matematiska vetenskaper, matematisk statistik)
Communications in Mathematical Physics (0010-3616). Vol. 337 (2015), 2, p. 879-907.
[Artikel, refereegranskad vetenskaplig]

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.



Denna post skapades 2015-05-21. Senast ändrad 2015-09-25.
CPL Pubid: 217357

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)

Ämnesområden

Beräkningsmatematik

Chalmers infrastruktur