Chern Gia-Wei, Reichhardt C, Olson Reichhardt C J
Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Jun;87(6):062305. doi: 10.1103/PhysRevE.87.062305. Epub 2013 Jun 10.
We propose that a system of colloidal particles interacting with a honeycomb array of optical traps that each contain three wells can be used to realize a fully packed loop model. One of the phases in this system can be mapped to Baxter's three-coloring problem, offering an easily accessible physical realization of this problem. As a function of temperature and interaction strength, we find a series of phases, including long range ordered loop or stripe states, stripes with sliding symmetries, random packed loop states, and disordered states in which the loops break apart. Our geometry could be constructed using ion trap arrays, BEC vortices in optical traps, or magnetic vortices in nanostructured superconductors.
我们提出，一个由胶体粒子组成的系统，与一个光学陷阱的蜂窝阵列相互作用，每个陷阱包含三个阱，可以用来实现一个完全填充的环模型。该系统中的一个相可以映射到巴克斯特的三色问题，为这个问题提供了一个易于实现的物理实例。作为温度和相互作用强度的函数，我们发现了一系列相，包括长程有序的环或条纹状态、具有滑动对称性的条纹、随机填充的环状态以及环破裂的无序状态。我们的几何结构可以使用离子阱阵列、光学陷阱中的玻色-爱因斯坦凝聚体涡旋或纳米结构超导体中的磁涡旋来构建。
