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Decay of transverse correlations in quantum Heisenberg models

Jakob E. Björnberg (Institutionen för matematiska vetenskaper, matematisk statistik) ; D. Ueltschi
Journal of Mathematical Physics (0022-2488). Vol. 56 (2015), 4, p. artikel nr 043303 .
[Artikel, refereegranskad vetenskaplig]

We study a class of quantum spin systems that include the S = 1/2 Heisenberg and XY-models and prove that two-point correlations exhibit exponential decay in the presence of a transverse magnetic field. The field is not necessarily constant, it may be random, and it points in the same direction. Our proof is entirely probabilistic and it relies on a random loop representations of the correlation functions, on stochastic domination and on first-passage percolation.

Nyckelord: Ising-Model, Magnetic fields, Percolation, Heisenberg models



Denna post skapades 2015-06-04. Senast ändrad 2015-07-14.
CPL Pubid: 218023

 

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Institutioner (Chalmers)

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

Ämnesområden

Matematisk fysik

Chalmers infrastruktur