在Lieb Lattices上的量子透
W S Oliveira1, J Pimentel de Lima2, Raimundo R Dos Santos1
1Universidade Federal do Rio de Janeiro, Instituto de Física, Caixa Postal 68.528, 21941-972 Rio de Janeiro, Rio de Janeiro, Brazil.
Physical review. E
|April 18, 2025
概括
我们研究了Lieb格子上的量子透,发现了局部化-非局部化过渡. 这种过渡和临界指数表明,Lieb格子上的量子透属于跨维的相同的普遍性类.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 统计力学 统计力学
- 量子力学就是量子力学.
背景情况:
- 透理论研究的是随机网络的连接性.
- 量子透将这些概念扩展到量子系统,探索本地化-迁移过渡.
- 利布格子为研究这种现象提供了独特的几何特性.
研究的目的:
- 从理论上研究二维和三维利布格子上的量子位点和键透.
- 用先进的理论方法确定透值和临界指数.
- 在这些格子上对量子透的普遍性类别进行分类.
主要方法:
- 理论调查使用随机矩阵理论来分析能量水平统计数据.
- 使用有限尺寸缩放理论进行数值模拟,以准确地估计值和指数.
- 分析水平间距分布以确定关键行为.
主要成果:
- 获得了准确的网站和债券透值和关键指数的估计.
- 在有限的门上证实了局部化-非局部化过渡,随着协调数量的增加而减少.
- 利布格子上的量子位点和键透被证明属于相同的普遍性类.
结论:
- 局部化长度指数随着格子维度的减少而减少,反映了经典的透.
- 在三维中,Lieb格子上的量子透与安德森杂质模型具有普遍性.
- 这些发现为混乱系统中量子相变的基本性质提供了关键的见解.
相关概念视频
Bewley Lattice Diagram
391
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
391
Lattice Centering and Coordination Number
9.4K
The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
Types of Unit Cells
Imagine taking a large number of identical...
9.4K
Poisson's And Laplace's Equation
2.5K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
2.5K
First Law: Particles in Two-dimensional Equilibrium
4.9K
Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
Newton's first law tells us about...
4.9K
The Pauli Exclusion Principle
33.4K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
33.4K
First Law: Particles in One-dimensional Equilibrium
6.7K
Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
6.7K


