Anomalous relaxation of density waves in a ring-exchange system
- We present the analysis of the slowing down exhibited by stochastic dynamics of a ring-exchange model on a square lattice, by means of numerical simulations. We find the preservation of coarse-grained memory of initial state of density-wave types for unexpectedly long times. This behavior is inconsistent with the prediction from a low frequency continuum theory developed by assuming a mean-field solution. Through a detailed analysis of correlation functions of the dynamically active regions, we exhibit an unconventional transient long ranged structure formation in a direction which is featureless for the initial condition, and argue that its slow melting plays a crucial role in the slowing-down mechanism. We expect our results to be relevant also for the dynamics of quantum ring-exchange dynamics of hard-core bosons and more generally for dipole moment conserving models.
Download full text files
Statistics
Print On Demand
Additional Services
| Author: | Pranay Patil, Markus HeylORCiDGND, Fabien Alet |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1113635 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/111363 |
| ISSN: | 2470-0045OPAC |
| ISSN: | 2470-0053OPAC |
| Parent Title (English): | Physical Review E |
| Publisher: | American Physical Society (APS) |
| Type: | Article |
| Language: | English |
| Date of first Publication: | 2023/03/15 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2024/02/16 |
| Volume: | 107 |
| Issue: | 3 |
| First Page: | 034119 |
| DOI: | https://doi.org/10.1103/physreve.107.034119 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik III | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
