Abstract

We show that layered quenched randomness in planar magnets leads to an unusual intermediate phase between the conventional ferromagnetic low-temperature and paramagnetic high-temperature phases. In this intermediate phase, which is part of the Griffiths region, the spin-wave stiffness perpendicular to the random layers displays anomalous scaling behavior, with a continuously variable anomalous exponent, while the magnetization and the stiffness parallel to the layers both remain finite. Analogous results hold for superfluids and superconductors. We study the two phase transitions into the anomalous elastic phase, and we discuss the universality of these results, and implications of finite sample size as well as possible experiments.

Department(s)

Physics

Keywords and Phrases

Magnets; Sampling; Stiffness; Superconducting materials; Superconductivity; Anomalous scaling; Finite samples; High-temperature phasis; Intermediate phase; Low temperatures; Quenched randomness; Phase transitions

International Standard Serial Number (ISSN)

0031-9007

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2010 American Physical Society (APS), All rights reserved.

Publication Date

01 Aug 2010

Included in

Physics Commons

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