Frustrated smectics: Theoretical phase diagrams in mean field

Barois, P.; Pommier, J.; Prost, Jacques

doi:10.1080/01411599108207729

Phase Transitions

1991

DOI: 10.1080/01411599108207729

|View full text |Cite

Frustrated smectics: Theoretical phase diagrams in mean field

P. Barois¹,

J. Pommier

Jacques Prost

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Preprint1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The phenomenon of re-entrance has, of course, generated several theoretical ideas, each in its own way successful on some scale in describing observations [2, 3, 7, [10][11][12]. On the other hand, in models where it is found, it occurs for a small range of the parameters and then completely disappears in different dimensions [3,7].…”

mentioning

confidence: 99%

Re-entrant phase transitions induced by localization of zero-modes

Morone,

Sels

2024

Preprint

View full text Add to dashboard Cite

Common wisdom dictates that physical systems become less ordered when heated to higher temperature. However, several systems display the opposite phenomenon and move to a more ordered state upon heating, e.g. at low temperature piezoelectric quartz is paraelectric and it only becomes piezoelectric when heated to sufficiently high temperature [1]. The presence, or better, the re-entrance of unordered phases at low temperature is more prevalent than one might think [2–6]. Although specific models have been developed to understand the phenomenon in specific systems [7], a universal explanation is lacking. Here we propose a universal simple microscopic theory which predicts the existence of two critical temperatures in inhomogeneous systems, where the lower one marks the re-entrance into the less ordered phase. We show that the re-entrant phase transition is caused by disorder-induced spatial localization of the zero-mode on a finite, i.e. sub-extensive, region of the system [8]. Specifically, this trapping of the zero-mode disconnects the fluctuations of the order parameter in distant regions of the system, thus triggering the loss of long-range order and the re-entrance into the disordered phase. This makes the phenomenon quite universal and robust to the underlying details of the model, and explains its ubiquitous observation [9].

show abstract

mentioning

confidence: 99%

Re-entrant phase transitions induced by localization of zero-modes

Morone,

Sels

2024

Preprint

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Frustrated smectics: Theoretical phase diagrams in mean field

Cited by 1 publication

References 28 publications

Re-entrant phase transitions induced by localization of zero-modes

Re-entrant phase transitions induced by localization of zero-modes

Contact Info

Product

Resources

About