Arresting dynamics in hardcore spin models
| Autor: | Benedikt Placke, Grace M. Sommers, S. L. Sondhi, Roderich Moessner |
|---|---|
| Rok vydání: | 2023 |
| Předmět: |
Condensed Matter - Strongly Correlated Electrons
Statistical Mechanics (cond-mat.stat-mech) Strongly Correlated Electrons (cond-mat.str-el) Soft Condensed Matter (cond-mat.soft) FOS: Physical sciences Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Soft Condensed Matter Condensed Matter - Statistical Mechanics |
| Zdroj: | Physical Review B |
| ISSN: | 2469-9969 2469-9950 |
| DOI: | 10.1103/physrevb.107.l180302 |
| Popis: | We study the dynamics of hardcore spin models on the square and triangular lattice, constructed by analogy to hard spheres, where the translational degrees of freedom of the spheres are replaced by orientational degrees of freedom of spins on a lattice and the packing fraction as a control parameter is replaced by an exclusion angle. In equilibrium, models on both lattices exhibit a Kosterlitz-Thouless transition at an exclusion angle $\Delta_{\rm KT}$. We devise compression protocols for hardcore spins and find that {\it any} protocol that changes the exclusion angle nonadiabatically, if endowed with only local dynamics, fails to compress random initial states beyond an angle $\Delta_{\rm J}> \Delta_{\rm KT}$. This coincides with a doubly algebraic divergence of the relaxation time of compressed states towards equilibrium. We identify a remarkably simple mechanism underpinning this divergent timescale: topological defects involved in the phase ordering kinetics of the system become incompatible with the hardcore spin constraint, leading to a vanishing defect mobility as $\Delta\rightarrow\Delta_{\rm J}$. Comment: Replaced with published version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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