二维Bravais格点上量子布朗运动模型的Phase diagrams
Phase diagrams for quantum Brownian motion models on two-dimensional Bravais lattices
摘要：
研究了在耗散环境中粒子与周期势耦合的量子布朗运动模型。我们审查QBM的粒子在一维周期性的潜力和扩展的研究，为粒子在二维（2D）周期性的潜力的四个布拉维晶格类型：正方形，矩形，三角形（六边形），和中心矩形。我们进行微扰重整化群分析，推导出零温流图和相边界的粒子在这些潜力，并观察本地化行为依赖于各向异性的晶格参数。
英文摘要：
We study quantum Brownian motion (QBM) models for a particle in a dissipative environment coupled to a periodic potential. We review QBM for a particle in a one-dimensional periodic potential and extend the study to that for a particle in two-dimensional (2D) periodic potentials of four Bravais lattice types: square, rectangular, triangular (hexagonal), and centered rectangular. We perform perturbative renormalization group analyses to derive the zero temperature flow diagrams and phase boundaries for a particle in these potentials, and observe localization behavior dependent on the anisotropy of the lattice parameters.
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