A Power-Law Upper Bound on the Correlations in the 2D Random Field Ising Model-Reference-Cited by-同舟云学术

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A Power-Law Upper Bound on the Correlations in the 2D Random Field Ising Model

Published:2019-06-06 Issue:3 Volume:372 Page:865-892
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Aizenman Michael^ORCID,Peled Ron

Funder

NSF Division of Mathematical Sciences

Israel Science Foundation

European Research Council

Weizmann Institute of Science

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-019-03450-3.pdf

Reference19 articles.

1. Aharony, A., Imry, Y., Ma, S.-K.: Lowering of Dimensionality in Phase Transitions with Random Fields. Phys. Rev. Lett. 37, 1364 (1976)

2. Aizenman, M., Barsky, D.: Sharpness of the phase transition in percolation models. Comm. Math. Phys. 489–526, (1987)

3. Aizenman, M., Greenblatt, R.L., Lebowitz, J.L.: Proof of Rounding by Quenched Disorder of First Order Transitions in Low-Dimensional Quantum Systems. J. Math. Phys. 53, 023301 (2012)

4. Aizenman, M., Wehr, J.: Rounding of first-order phase transitions in systems with quenched disorder. Physical review letters 62(21), 2503 (1989)

5. Aizenman, M., Wehr, J.: Rounding effects of quenched randomness on first-order phase transitions. Comm. Math. Phys. 130, 489–528 (1990)

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