Cooperative Domain-Wall Dynamics in a Two-Dimensional Quasiclassical Holstein Model
Abstract
We investigate charge-density-wave (CDW) coarsening in a two-dimensional quasiclassical Holstein model following thermal quenches into the ordered phase. Although the staggered CDW order parameter is nonconserved, domain-wall motion remains constrained by conservation of the microscopic electronic charge. The simulations exhibit apparent growth exponents between 1/4 and the Allen--Cahn value 1/2. These apparent exponents are primarily accounted for by the crossover kinetics L̇=[D(T)/L][1+L×2(T)/L2], where L×(T) is a temperature-dependent crossover length. At low temperature, nearly binary occupations require compatible wall segments to rearrange cooperatively, producing the L(t)∼ t1/4 limit. Thermal broadening creates partially occupied interfacial sites that permit local curvature-driven motion and restore L(t)∼ t1/2 at late times. Fits to the measured growth rate, a dimensionless rate collapse, and a long-time large-system simulation consistently support this crossover picture. These results show that a microscopic conservation law can generate long-lived anomalous coarsening even when the emergent order parameter is nonconserved.
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BibTeX
@misc{bora2026cooperative,
title = {{Cooperative Domain-Wall Dynamics in a Two-Dimensional Quasiclassical Holstein Model}},
author = {Arunangshu Bora and Sankha Subhra Bakshi and Ho Jang and Gia-Wei Chern},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.28436},
eprint = {2609.28436},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.28436},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Cooperative Domain-Wall Dynamics in a Two-Dimensional Quasiclassical Holstein Model
AU - Arunangshu Bora
AU - Sankha Subhra Bakshi
AU - Ho Jang
AU - Gia-Wei Chern
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2609.28436
UR - https://arxiv.org/abs/2609.28436
AB - We investigate charge-density-wave (CDW) coarsening in a two-dimensional quasiclassical Holstein model following thermal quenches into the ordered phase. Although the staggered CDW order parameter is nonconserved, domain-wall motion remains constrained by conservation of the microscopic electronic charge. The simulations exhibit apparent growth exponents between 1/4 and the Allen--Cahn value 1/2. These apparent exponents are primarily accounted for by the crossover kinetics L̇=[D(T)/L][1+L_×^2(T)/L^2], where L_×(T) is a temperature-dependent crossover length. At low temperature, nearly binary occupations require compatible wall segments to rearrange cooperatively, producing the L(t)∼ t^1/4 limit. Thermal broadening creates partially occupied interfacial sites that permit local curvature-driven motion and restore L(t)∼ t^1/2 at late times. Fits to the measured growth rate, a dimensionless rate collapse, and a long-time large-system simulation consistently support this crossover picture. These results show that a microscopic conservation law can generate long-lived anomalous coarsening even when the emergent order parameter is nonconserved.
ER -