Effects of random fields on bicritical phase diagrams in two and three dimensions

R. J. Birgeneau; A. Aharony; R. A. Cowley; J. P. Hill; R. A. Pelcovits; G. Shirane; T. R. Thurston

doi:10.1016/0378-4371(91)90134-X

Effects of random fields on bicritical phase diagrams in two and three dimensions

R. J. Birgeneau, A. Aharony, R. A. Cowley, J. P. Hill, R. A. Pelcovits, G. Shirane, T. R. Thurston

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Stimulated by the pioneering work of Michael Fisher and collaborators on bicritical phase diagrams in pure systems, we consider the corresponding behavior in systems with uniaxial random fields. We discuss experiments in the two- and three-dimensional n = 3 systems Rb₂Mn_0.7Mg_0.3F₄ and Mn_0.75Zn_0.25F₂, respectively. We also report a new theory for the 2D n = 3 system, which predicts a novel phase boundary geometry. In both two and three dimensions the Ising component is dominated by metastability effects. However, the XY component shows a reversible transition to long range order. Experiments in the bicritical region in Mn_0.75Zn_0.25F₂ are inconclusive. However, the theory describes the measured XY phase boundary in Rb₂Mn_0.7Mg_0.3F₄ quite well.

Original language	English
Pages (from-to)	58-66
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	177
Issue number	1-3
DOIs	https://doi.org/10.1016/0378-4371(91)90134-X
State	Published - 15 Sep 1991
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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title = "Effects of random fields on bicritical phase diagrams in two and three dimensions",

abstract = "Stimulated by the pioneering work of Michael Fisher and collaborators on bicritical phase diagrams in pure systems, we consider the corresponding behavior in systems with uniaxial random fields. We discuss experiments in the two- and three-dimensional n = 3 systems Rb2Mn0.7Mg0.3F4 and Mn0.75Zn0.25F2, respectively. We also report a new theory for the 2D n = 3 system, which predicts a novel phase boundary geometry. In both two and three dimensions the Ising component is dominated by metastability effects. However, the XY component shows a reversible transition to long range order. Experiments in the bicritical region in Mn0.75Zn0.25F2 are inconclusive. However, the theory describes the measured XY phase boundary in Rb2Mn0.7Mg0.3F4 quite well.",

author = "Birgeneau, {R. J.} and A. Aharony and Cowley, {R. A.} and Hill, {J. P.} and Pelcovits, {R. A.} and G. Shirane and Thurston, {T. R.}",

note = "Funding Information: The research at MIT was supported by the National Science Foundation under Grant No. DMR90-07825. Work at Tel Aviv was supported by the US-Israel Binational Science Foundation. Research at Brookhaven is supported by the Department of Energy under contract DE-AC02-76CH00016.",

year = "1991",

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doi = "10.1016/0378-4371(91)90134-X",

language = "English",

volume = "177",

pages = "58--66",

journal = "Physica A: Statistical Mechanics and its Applications",

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T1 - Effects of random fields on bicritical phase diagrams in two and three dimensions

AU - Birgeneau, R. J.

AU - Aharony, A.

AU - Cowley, R. A.

AU - Hill, J. P.

AU - Pelcovits, R. A.

AU - Shirane, G.

AU - Thurston, T. R.

N1 - Funding Information: The research at MIT was supported by the National Science Foundation under Grant No. DMR90-07825. Work at Tel Aviv was supported by the US-Israel Binational Science Foundation. Research at Brookhaven is supported by the Department of Energy under contract DE-AC02-76CH00016.

PY - 1991/9/15

Y1 - 1991/9/15

N2 - Stimulated by the pioneering work of Michael Fisher and collaborators on bicritical phase diagrams in pure systems, we consider the corresponding behavior in systems with uniaxial random fields. We discuss experiments in the two- and three-dimensional n = 3 systems Rb2Mn0.7Mg0.3F4 and Mn0.75Zn0.25F2, respectively. We also report a new theory for the 2D n = 3 system, which predicts a novel phase boundary geometry. In both two and three dimensions the Ising component is dominated by metastability effects. However, the XY component shows a reversible transition to long range order. Experiments in the bicritical region in Mn0.75Zn0.25F2 are inconclusive. However, the theory describes the measured XY phase boundary in Rb2Mn0.7Mg0.3F4 quite well.

AB - Stimulated by the pioneering work of Michael Fisher and collaborators on bicritical phase diagrams in pure systems, we consider the corresponding behavior in systems with uniaxial random fields. We discuss experiments in the two- and three-dimensional n = 3 systems Rb2Mn0.7Mg0.3F4 and Mn0.75Zn0.25F2, respectively. We also report a new theory for the 2D n = 3 system, which predicts a novel phase boundary geometry. In both two and three dimensions the Ising component is dominated by metastability effects. However, the XY component shows a reversible transition to long range order. Experiments in the bicritical region in Mn0.75Zn0.25F2 are inconclusive. However, the theory describes the measured XY phase boundary in Rb2Mn0.7Mg0.3F4 quite well.

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IS - 1-3

ER -

Effects of random fields on bicritical phase diagrams in two and three dimensions

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