Rare regions and annealed disorder in quantum phase transitions

TL;DR

This paper investigates how rare regions and local moments in disordered quantum magnets influence phase transitions, modeling them as annealed disorder within an effective field theory framework to understand their critical behavior.

Contribution

It introduces a novel effective field theory approach that describes local moments as annealed disorder, providing new insights into quantum phase transitions affected by rare regions.

Findings

Local moments can be modeled as static, annealed disorder.

The approach clarifies the influence of rare regions on critical behavior.

Physical consequences of annealed disorder are discussed.

Abstract

The Griffiths region that is due to rare regions and the resulting local moments in disordered itinerant quantum magnets, and its influence on the critical behavior, is considered within the framework of an effective field theory. It is shown that the local moments can be described in terms of static, annealed disorder, and the physical consequences of this description are discussed.