论文标题
浴室瓷砖晶格上沮丧的Ising模型中的量子订单
Quantum orders in the frustrated Ising model on the bathroom tile lattice
论文作者
论文摘要
我们确定了浴室瓷砖（4-8）晶格上完全沮丧的量子ISING模型的零和有限温度相图。该相图具有2+1D物理的财富，其中包括正方形和三角形晶格类型的经典库仑二聚体液体。 2。量子订购符号诱导阶段打破$ \ mathbb {z} _4 $，$ \ mathbb {z} _6 $，和$ \ mathbb {z} _8 $ symmetries; 3。有限温度kosterlitz- thouless（kt）阶段漂浮在$ \ mathbb {z} _6 $和$ \ mathbb {z} _8 $ orders;和4。（在）中间耦合时（占（in） - 摩尔素化对称性阶段的楼梯。我们使用二聚体模型映射，扰动理论，Landau分析和随机系列扩展量子量蒙特卡洛（QMC-SSE）的组合建立了这一详尽的相图。我们的结果为研究沮丧的磁性使用D波架构退火器提供了基准，在那里可以自然地嵌入4-8个晶格，而无需“克隆”，从而减少了竞争能量尺度的数量。使用D-WAVE 2000Q的模拟显示了与相图的高温部分的定性一致性，但无法访问低温阶段。
We determine the zero and finite temperature phase diagram of the fully frustrated quantum Ising model on the bathroom tile (4-8) lattice. The phase diagram exhibits a wealth of 2+1d physics, including 1. classical Coulomb dimer liquids of both square and triangular lattice types; 2. quantum order-by-disorder induced phases breaking $\mathbb{Z}_4$, $\mathbb{Z}_6$, and $\mathbb{Z}_8$ symmetries; 3. finite temperature Kosterlitz-Thouless (KT) phases floating over the $\mathbb{Z}_6$ and $\mathbb{Z}_8$ orders; and, 4. staircases of (in)-commensurate symmetry breaking phases at intermediate coupling. We establish this elaborate phase diagram using a combination of dimer model mapping, perturbation theory, Landau analysis and Stochastic Series Expansion Quantum Monte Carlo (QMC-SSE). Our results provide a baseline for studying frustrated magnetism with D-Wave architecture annealers, where the 4-8 lattice can be embedded naturally without `cloning', reducing the number of competing energy scales. Simulations with the D-Wave 2000Q demonstrate qualitative agreement with the high temperature portion of the phase diagram, but are unable to access the low temperature phases.
