霍尔斯坦从数值上"精确"的实时量子动力学模拟的极子传输
1Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, 11080 Belgrade, Serbia.
The Journal of chemical physics
|September 6, 2023
概括
本研究提出了一种新方法来计算1D霍尔斯坦模型中的电子流动性,揭示了中间合模式中的明显电子减速. 这一进步为电子-声波动力学提供了精确的见解.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子动力学 量子动力学是什么?
- 计算材料科学科学 计算材料科学
背景情况:
- 电子音声系统的数值精确方法正在进步.
- 在这些系统中计算电子流动性 (μdc) 仍然具有挑战性,特别是在1D霍尔斯坦模型中.
- 之前的工作重点是单粒子特性.
研究的目的:
- 开发和应用动量空间层次运动方程 (HEOM) 方法来计算实时的两粒子相关函数.
- 在有限的温度下,为1D霍尔斯坦模型获得数值精确的电子流动性 (μdc).
- 为了研究各种合模式的电子动态和光学响应.
主要方法:
- 开发了一种动量空间层次运动方程 (HEOM) 方法.
- 评估实时的二粒子相关函数,特别是电流与电流相关函数.
- 计算了1D霍尔斯坦模型的数值精确的电子流动性 (μdc).
- 实施了层次关闭计划,以减轻数值不稳定性.
主要成果:
- 实现了电流与电流相关函数的数值精确动态,捕捉了扩散电子运动.
- 提供了可靠的电子流动性 (μdc) 结果在一个广泛的参数范围.
- 在中间合模式中,在中间时间尺度上观察到暂时有限的电子减速.
- 确定了与这种减速相关的光学响应的有限频率峰值.
结论:
- 动量空间HEOM方法为电子流动性计算提供了一种计算效率高的方法.
- 观察到的电子减速突出显示了超出简单弹道到扩散交叉的复杂动态.
- 该方法的局限性包括在非常低的温度下不稳定,强合,或高声频.
相关概念视频
01:23Equilibrium Conditions for a Particle
1.2K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
1.2K
01:12Fermi Level Dynamics
280
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
280
01:24Reynolds Transport Theorem
1.2K
The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
1.2K
02:45The Quantum-Mechanical Model of an Atom
42.5K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.5K
03:06The Pauli Exclusion Principle
38.7K
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:
38.7K
02:59The Nernst Equation
41.2K
Nonstandard Reaction Conditions
The interconnection between standard cell potentials and various thermodynamic parameters such as the standard free energy change ΔG° and equilibrium constant K has been previously explored. For example, a redox reaction involving zinc(II) and tin(II) ions at 1 M concentration with Eºcell = +0.291 V and ΔG° = −56.2 kJ is spontaneous.
The interconnection between standard cell potentials and various thermodynamic parameters such as the standard free energy change ΔG° and equilibrium constant K has been previously explored. For example, a redox reaction involving zinc(II) and tin(II) ions at 1 M concentration with Eºcell = +0.291 V and ΔG° = −56.2 kJ is spontaneous.
41.2K