NSF PAR Search | NSF Public Access Repository

Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher. Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?

Some links on this page may take you to non-federal websites. Their policies may differ from this site.

Origin of symmetry breaking in the grasshopper model

https://doi.org/10.1103/PhysRevResearch.6.023235

Llamas, David; Kent-Dobias, Jaron; Chen, Kun; Kent, Adrian; Goulko, Olga (June 2024, Physical Review Research)

The planar grasshopper problem, originally introduced by Goulko and Kent (Goulko & Kent 2017 Proc. R. Soc. A 473, 20170494), is a striking example of a model with long-range isotropic interactions whose ground states break rotational symmetry. In this paper we analyze and explain the nature of this symmetry breaking with emphasis on the importance of dimensionality. Interestingly, rotational symmetry is recovered in three dimensions for small jumps, which correspond to the nonisotropic cogwheel regime of the two-dimensional problem. We discuss simplified models that reproduce the symmetry properties of the original system in $N$ dimensions. For the full grasshopper model in two dimensions we obtain quantitative predictions for optimal perturbations of the disk. Our analytical results are confirmed by numerical simulations
more » « less
Full Text Available
Elastic properties of hidden order in ${URu}_{2} {Si}_{2}$ are reproduced by a staggered nematic

https://doi.org/10.1103/PhysRevB.102.075129

Kent-Dobias, Jaron; Matty, Michael; Ramshaw, B. J. (August 2020, Physical Review B)
null (Ed.)
Full Text Available
Visualizing probabilistic models in Minkowski space with intensive symmetrized Kullback-Leibler embedding

https://doi.org/10.1103/PhysRevResearch.2.033221

Teoh, Han Kheng; Quinn, Katherine N.; Kent-Dobias, Jaron; Clement, Colin B.; Xu, Qingyang; Sethna, James P. (August 2020, Physical Review Research)
null (Ed.)
Full Text Available
Cluster representations and the Wolff algorithm in arbitrary external fields

https://doi.org/10.1103/PhysRevE.98.063306

Kent-Dobias, Jaron; Sethna, James P. (December 2018, Physical Review E)
Normal Form for Renormalization Groups

https://doi.org/10.1103/PhysRevX.9.021014

Raju, Archishman; Clement, Colin B.; Hayden, Lorien X.; Kent-Dobias, Jaron P.; Liarte, Danilo B.; Rocklin, D. Zeb; Sethna, James P. (April 2019, Physical Review X)

Full Text Available

Search for: All records