2011
DOI: 10.1103/physrevb.83.224402
|View full text |Cite
|
Sign up to set email alerts
|

Composition-tuned smeared phase transitions

Abstract: Phase transitions in random systems are smeared if individual spatial regions can order independently of the bulk system. In this paper, we study such smeared phase transitions (both classical and quantum) in substitutional alloys A1−xBx that can be tuned from an ordered phase at composition x = 0 to a disordered phase at x = 1. We show that the ordered phase develops a pronounced tail that extends over all compositions x < 1. Using optimal fluctuation theory, we derive the composition dependence of the order … Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

3
21
0

Year Published

2013
2013
2025
2025

Publication Types

Select...
6
2

Relationship

2
6

Authors

Journals

citations
Cited by 14 publications
(24 citation statements)
references
References 21 publications
3
21
0
Order By: Relevance
“…31) In the previous paper, 23) we discussed the properties of the cluster-glass states in Sr 1−x La x RuO 3 based on the optimal fluctuation theory combined with a finite-size scaling technique. 32) This theory assumes that the magnetic property of a local region is characterized by the local La concentration and the size of the local region. If we assume a random distribution of Sr and La, the probability that a small region contains N La number of La atoms can be calculated using the binomial distribution P(N La ) = c is the critical concentration for the bulk system, D is a constant, and φ is the finite-size shift exponent.…”
Section: Discussionmentioning
confidence: 99%
“…31) In the previous paper, 23) we discussed the properties of the cluster-glass states in Sr 1−x La x RuO 3 based on the optimal fluctuation theory combined with a finite-size scaling technique. 32) This theory assumes that the magnetic property of a local region is characterized by the local La concentration and the size of the local region. If we assume a random distribution of Sr and La, the probability that a small region contains N La number of La atoms can be calculated using the binomial distribution P(N La ) = c is the critical concentration for the bulk system, D is a constant, and φ is the finite-size shift exponent.…”
Section: Discussionmentioning
confidence: 99%
“…Recently, the nature of the cluster size distribution is argued on the basis of the optimal fluctuation theory combined with the finite size scaling technique. 56) Let us focus on a small region in a sample where the total number of the Sr and La sites is N, and L RR is its linear size. For a given x value, the probability that the small region contains the N La number of La atoms is given by the binomial distribution P(N La ) = N N La x N La (1− x) N−N La .…”
Section: Discussionmentioning
confidence: 99%
“…[79]). magnetization tail behaves exponentially at intermediate p but vanishes as a power-law for p → 1 [80,81]. 32 is identical to (27), the bath Hamiltonian takes the form…”
Section: Optimal Fluctuation Theorymentioning
confidence: 99%